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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Intelligent Sensor Data Processing Algorithm for Mobile Robot Stabilization*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dmytro Panchak</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vasyl Koval</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of Computer Information Technologies, West Ukrainian National University</institution>
          ,
          <addr-line>O.Telihy Str., Ternopil, 46003</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>West Ukrainian National University</institution>
          ,
          <addr-line>11 Lvivska Str., Ternopil, 46009</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>This article presents an intelligent sensor data processing to improve mobile robots' stability in dynamic environments. The focus is on enhancing sensor data accuracy through deep learning, fuzzy logic, and adaptive filtering techniques. The proposed algorithm effectively reduces noise, improves motion prediction, and ensures real-time adaptation to environmental changes. Experimental validation was conducted using the MATLAB platform and a Pioneer 3-DX mobile robot, demonstrating a 6% reduction in obstacle recognition errors compared to traditional methods. The results indicate that the algorithm enhances robot navigation stability, making it a viable solution for autonomous systems in logistics, industrial automation, and smart mobility.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;mobile robots</kwd>
        <kwd>sensors</kwd>
        <kwd>stability</kwd>
        <kwd>algorithm</kwd>
        <kwd>machine learning</kwd>
        <kwd>filtering</kwd>
        <kwd>navigation 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Modern mobile robots play a crucial role in various fields, including industry, logistics, medicine,
and smart city technologies. They perform tasks in ever-changing environments, adapting to diverse
obstacles and complex movement trajectories. One of the key aspects of the effective operation of
mobile robots is their stability, which determines the device's ability to move without failures,
maintain balance, and quickly respond to changes in the surrounding environment [
        <xref ref-type="bibr" rid="ref7 ref8 ref9">7-9</xref>
        ]. The primary
tool for ensuring this stability is sensor systems, which enable the analysis of the space around the
robot, the identification of surface types, obstacle presence, and the prediction of possible risks during
movement. However, traditional methods of processing sensor data, such as the Kalman filter,
feedback-based control methods, and classical image processing algorithms, have certain limitations,
including insufficient adaptation speed to changing environments and high sensitivity to noise [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>
        To enhance the efficiency of mobile robots, artificial intelligence-based algorithms, particularly
machine learning methods, neural network models, and hybrid algorithms combining multiple
approaches, have been actively developed to achieve an optimal balance between processing speed
and prediction accuracy. Intelligent sensor systems used in mobile robots can integrate multiple
sensor systems (optical, ultrasonic, infrared, LiDAR), enabling the collection of comprehensive
environmental data [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2-5</xref>
        ]. However, a key challenge remains the effective real-time processing of this
information, as traditional methods may fail to keep up with dynamic changes [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Thus, there is a
need to develop new sensor data processing algorithms capable of ensuring a high levelof movement
stability for mobile platforms in complex conditions.
      </p>
      <p>The objective of this study is to develop an intelligent sensor data processing algorithm that will
improve the stability of mobile robots by utilizing combined machine learning methods, adaptive
filtering, and fuzzy logic. The proposed algorithm analyzes incoming signals from the sensor display,
determines noise levels and potential obstacles using preprocessing algorithms, and predicts possible
movement trajectories for the robot. Special attention is given to developing optimized adaptation
methods for different environmental conditions, enabling robots to function effectively even in cases
of sudden changes, such as the appearance of unexpected objects or alterations in the movement
surface. The study of the proposed algorithm was conducted on the MATLAB platform using real
sensor data, which allowed for an evaluation of its effectiveness compared to traditional methods.</p>
      <p>Thus, this article focuses on analyzing existing methods for stabilizing mobile robots, developing
a new intelligent sensor display data processing algorithm, and testing it on real data. The proposed
approach has the potential for applications in various fields, including autonomous transportation,
robotic delivery systems, industrial automation, and rescue operations. The use of intelligent sensor
data processing algorithms significantly enhances the adaptability of mobile robots, which is a key
factor for their effective use in dynamic and unpredictable environments.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Problem Statement</title>
      <p>
        The stability of mobile robots in dynamic environments remains one of the most critical
challenges in the field of robotics and automated control systems [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Despite significant
advancements in the development of sensor systems and data processing algorithms, modern robots
still face difficulties navigating complex routes, particularly in cases of sudden landscape changes,
unexpected obstacles, or operations in high sensor noise conditions. Traditional stability methods,
such as Kalman filters, PID controllers, or classical image processing algorithms, have limited
adaptability to changing environments and often demonstrate insufficient reaction speed to
unexpected events [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref9">9-14</xref>
        ]. This results in movement failures, erroneous navigation system decisions,
and, in some cases, loss of robot control. Additionally, an important factor is the optimal utilization
of computational resources, as most mobile platforms operate in real-time and have limited
processing power [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>One of the key challenges in developing new algorithms is integrating high-precision obstacle
recognition, fast sensor data processing, and efficient prediction of possible environmental changes.</p>
      <p>
        The use of machine learning methods, deep neural networks, and adaptive filtering algorithms
improves analytical outcomes but requires complex optimization to ensure mobile robot stability in
various conditions [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The primary goal of the research was to design an efficient algorithm that
reduces obstacle recognition errors, minimizes data processing time, and improves the mobility
stability of the robot in dynamic environments.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Existent Solutions</title>
      <p>In modern robotics, several key approaches are used for stabilizing mobile robots and processing
sensor data. Among the most common methods are classical filtering algorithms, neural network
techniques, evolutionary optimization approaches, and hybrid systems that combine the advantages
of multiple methods. Each of these techniques has its own advantages and disadvantages depending
on the application conditions, environmental complexity, and performance requirements.</p>
      <p>
        One of the most widely used methods is the Kalman filter [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], which is extensively applied for
smoothing and predicting sensor data. It is effective in cases where there is a moderate level of noise
and the dynamics of environmental changes are relatively predictable. However, this approach has
limited effectiveness in complex and rapidly changing conditions, as it requires an accurate
mathematical model of the ongoing processes. Similar traditional algorithms, such as the particle filter
or Wiener filter [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], are also used for stability. However, they demonstrate low response speed when
dealing with sudden trajectory changes or unexpected obstacles.
      </p>
      <p>
        Significant progress in mobile robot stability has been achieved through machine learning
methods and neural network algorithms. Deep neural networks can process large volumes of sensor
data and detect complex patterns, significantly improving object recognition accuracy and predicting
possible movement trajectories [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. Particularly effective are convolutional neural networks (CNNs),
which work with visual sensor data, and recurrent neural networks (RNNs), which analyze temporal
dependencies. However, neural network algorithms have high computational complexity, which can
be a serious limitation for mobile platforms with constrained resources [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>
        Another category includes evolutionary optimization algorithms, such as genetic algorithms and
particle swarm optimization (PSO) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. These methods allow adaptive tuning of mobile robot control
parameters in real time, enhancing stability efficiency even in complex conditions. [
        <xref ref-type="bibr" rid="ref13 ref14">13-14</xref>
        ] However,
such methods often require long training and calibration times, and their results can be difficult to
interpret.
      </p>
      <p>
        The most promising approach is hybrid methods, which combine the advantages of classical
filtering algorithms, machine learning, and heuristic techniques. For example, integrating the Kalman
filter with a neural network helps compensate for sensor noise, improving trajectory prediction
quality. Combining deep learning with fuzzy logic methods enables the creation of adaptive stability
systems that can adjust to changing conditions in real time [
        <xref ref-type="bibr" rid="ref5 ref6">5-6</xref>
        ].
      </p>
      <p>To evaluate the effectiveness of the reviewed methods, a comparative analysis was conducted
based on accuracy, response speed, computational complexity, and environmental adaptability (Table
1).</p>
      <p>As seen from the analysis, hybrid methods demonstrate the best balance between performance,
response speed, and adaptability, making them the most promising for use in mobile robots operating
in complex and dynamic environments. Therefore, to further enhance the stability of mobile
platforms, it is advisable to utilize combined algorithms that incorporate elements of machine
learning, adaptive filtering, and optimization techniques.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Algorithm Description</title>
      <p>In this study, a hybrid algorithm for processing sensor data was developed to enhance the stability
of mobile robots. The proposed approach combines adaptive filtering, machine learning methods, and
fuzzy logic to accurately analyze the environment and correct the robot's trajectory in real-time.</p>
      <p>The stabilization process is divided into three interdependent stages:
1. Modeling the Robot's Motion – A mathematical model describing the movement dynamics of
the mobile robot is created. This model is essential for trajectory estimation and movement
correction. The motion equations used are as follows:</p>
      <p>Xt + 1 = xt + vt cos (θt) Δt
Yt + 1 = yt + vt sin (θt) Δty</p>
      <p>Θt + 1 = θt + ωt Δt
•
•
•
•
•
where:</p>
      <p>Xt, Yt – the current coordinates of the robot in the Cartesian coordinate system.
Θt – the angular orientation of the robot relative to a reference axis at time t.
vt – the linear velocity of the robot at time t.
ωt – the angular velocity (rate of change of orientation) of the robot.</p>
      <p>Δt – the discretization step, which defines the time interval for updating the robot's state.</p>
      <p>This model is used to predict the robot’s next position based on its current state and movement
parameters. It enables trajectory planning and motion correction, which are crucial for stability in
dynamic environments.</p>
      <p>2. Sensor Data Processing &amp; Filtering – A sensory perception system integrates multiple sensors
(LiDAR, cameras, gyroscope) to collect environmental data. To filter noise and extract
relevant information, an adaptive filtering algorithm based on a modified Kalman filter is
applied. The update equations are:
x^k = Fx^k−1 + Bu^k + w^k</p>
      <p>P^k = Pk−1 + F + Q
where:
• x^k – the estimated state vector of the system at time step k, which includes parameters
such as position, velocity, and orientation of the robot.
• F – the state transition matrix, which defines how the system state evolves from one time
step to the next. It incorporates the motion model of the robot.
• B – the control matrix, which represents how control inputs u^k (e.g., velocity and
steering commands) affect the system's state.
• u^k – the control vector, which includes input parameters such as acceleration and
angular velocity.
• w^k – the process noise vector, representing random fluctuations and uncertainties in
the system's state transition.
• P^k – the covariance matrix of estimation errors, which represents the uncertainty of the
state estimate at time step k.
• Q – the process noise covariance matrix, which quantifies the uncertainty associated with
the system's dynamics and external disturbances.</p>
      <p>This filtering step ensures accurate positioning and movement control of the robot in noisy
environments, allowing for real-time adjustments to sensor inaccuracies and improving navigation
stability.</p>
      <p>3.</p>
      <p>Machine Learning &amp; Motion Prediction – To improve real-time trajectory adjustment, a
Convolutional Neural Network (CNN) model is used to analyze data from cameras and LiDAR
sensors. The CNN model identifies objects and predicts movement obstacles with higher
accuracy compared to classical filtering methods. Additionally, a motion prediction system
based on fuzzy logic refines trajectory adjustments based on environmental conditions. The
fuzzy membership function used is:</p>
      <p>μ(x) = 1 / 1 + e – α (x−x0)
where x is the input parameter, x0 is the center of the fuzzy function, and α is the steepness
coefficient.</p>
      <sec id="sec-4-1">
        <title>Integration of Stages &amp; Stabilization Indicator: The combination of these three stages allows real-time correction of movement instability. To quantify the overall stabilization effectiveness, we introduce the Stabilization Index (SI), defined as:</title>
        <p>SI=1/ N ∑_(I-1)^N▒(w1E f ilter + w2 E cnn + w3 E f uzzy)
where:
• E f ilter – filtering error reduction factor (Kalman filtering effectiveness),
• E cnn – recognition accuracy improvement factor (CNN model effectiveness),
• E f uzzy – adaptive motion correction factor (fuzzy logic effectiveness),
• w1,w2,w3 – weight coefficients determining the contribution of each method,
• N – number of test iterations.</p>
        <p>A higher SI value indicates better stabilization and reduced trajectory deviations. The
experimental results demonstrate that the proposed hybrid approach achieves up to 30% higher SI
compared to traditional filtering-based stabilization methods.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Experimental Results</title>
      <p>To evaluate the effectiveness of the proposed algorithm, a series of experiments were conducted
in the MATLAB environment, as well as testing on a real mobile robot, the Pioneer 3-DX. The results
were compared with existing stability methods based on several criteria: obstacle recognition
accuracy, processing speed, computational resource usage, and collision avoidance efficiency.</p>
      <sec id="sec-5-1">
        <title>5.1 Stability Evaluation and Comparative Analysis</title>
        <p>To evaluate the performance of the proposed hybrid algorithm, three key performance metrics
were measured and calculated based on the sensor data processing pipeline:
1. Recognition Accuracy (Ar) – evaluates how well the algorithm detects and classifies
objects in the environment. It is calculated as:</p>
        <p>Ar = TP / ТР + FN ×100%
where:
• TР (True Positives) – correctly identified objects,
• FN (False Negatives) – missed objects.</p>
        <p>This metric is directly influenced by the CNN-based recognition module in the algorithm.
2. Processing Time (Tp) – measures how quickly the algorithm processes sensor data
and makes decisions. It is computed as:</p>
        <p>Tp = T sensor + T filter + T cnn + T fuzzy
where:
• T sensor – raw sensor data acquisition time,
• T filter – adaptive filtering processing time (Kalman filter),
• T cnn – CNN model execution time for object recognition,
• T fuzzy – fuzzy logic-based motion correction time.</p>
        <p>The hybrid algorithm aims to minimize Tp while maintaining high accuracy.</p>
        <p>Resource Consumption (Rc) – assesses how efficiently the algorithm utilizes computational
resources. It is estimated using:</p>
        <p>Rc = CPU usage+MEM usage / 2
•
•
where:</p>
        <p>CPU usage– percentage of CPU load during execution,</p>
        <p>MEM usage– percentage of memory usage.</p>
        <p>The hybrid method balances computational efficiency by integrating lightweight adaptive filtering
with machine learning.</p>
        <p>Table 2 presents the test results of the proposed algorithm in comparison with classical stability
methods.</p>
        <p>As seen from the results, the proposed algorithm demonstrates high accuracy (89%) while
significantly reducing processing time (120 ms), making it more efficient compared to deep neural
networks, which have higher accuracy but a significantly longer processing time (350 ms).</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2 Obstacle Recognition and Motion Prediction Accuracy</title>
        <p>Additionally, the algorithm was tested under different types of obstacles (irregular surfaces,
moving objects, and sharp trajectory turns). It was found that the proposed algorithm allows for 25%
faster response to environmental changes and 30% more accurate prediction of hazardous zones
compared to traditional methods.</p>
        <p>During practical tests, the robot equipped with the proposed algorithm performed sharp trajectory
corrections 18% less frequently, indicating a reduction in unnecessary maneuvers and improved
motion smoothness. This ensures lower energy consumption and enhances the overall efficiency of
the mobile robot.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3 Energy Efficiency and Trajectory Optimization</title>
        <p>An additional analysis revealed that the implementation of the proposed algorithm contributes to
a 22% reduction in the average deviated trajectory of the robot compared to traditional stability
algorithms. This means that the mobile robot deviates less from the planned trajectory even in cases
of sudden landscape changes or the presence of unexpected obstacles. More precise motion control
allows the robot to optimize energy consumption and improve its autonomy, which is critically
important for many applications such as logistics, military operations, and hazardous area
exploration.</p>
        <p>Moreover, testing was conducted under variable lighting and weather conditions (humidity, dust,
reduced visibility), enabling an assessment of the algorithm’s resilience to external influences. It was
found that the proposed approach is less sensitive to such changes compared to standard methods, as
it utilizes adaptive filtering and combined data analysis from different types of sensors. As a result,
the stability system can operate effectively even under limited visibility conditions or in the presence
of noise interference in sensor data.</p>
      </sec>
      <sec id="sec-5-4">
        <title>5.4 Computational Load and Power Consumption</title>
        <p>Additionally, the computational load during real-time algorithm execution was analyzed. The test
results showed that the proposed algorithm consumes 27% fewer processing resources compared to
deep neural network models, making it suitable for mobile robots with limited computational
capabilities. Thus, reducing processor load contributes to increasing the duration of the robot's
autonomous operation, which is a crucial factor for robotic systems operating without a constant
power supply.
Another important aspect of the study was determining the effectiveness of collision avoidance
when the robot operates in complex conditions. The proposed algorithm reduced the number of
collisions by 35% compared to classical PID controllers and Kalman filters. This means that a mobile
robot equipped with this algorithm better recognizes and avoids obstacles, enhancing its safety in
real-world scenarios such as warehouses, transportation systems, or autonomous research missions.</p>
        <p>A comparative analysis of the algorithm was also conducted in environments with high-density
dynamic obstacles, particularly in areas where multiple objects move simultaneously. It was found
that the proposed method ensures movement stability even in cases where the speed and direction of
obstacles change in real time. Based on the obtained data, it can be concluded that the algorithm is
suitable for complex navigation scenarios, such as autonomous transportation systems or movement
in crowded environments.</p>
        <p>An important stage of the study was assessing the algorithm’s adaptability to changing
environmental conditions. The proposed approach proved effective in transitioning between different
surface types (asphalt, grass, sand, tile), which is particularly beneficial for mobile robots operating
in mixed environments. In test scenarios, the robot demonstrated a 20% reduction in stability loss
when switching between surfaces, decreasing the likelihood of tipping over or getting stuck.</p>
        <p>Additionally, an analysis of the algorithm’s response time to environmental changes was
conducted. It was established that the algorithm’s reaction time to the appearance of a new obstacle
in the environment averaged 0.12 seconds, which is 40% faster than standard mobile robot motion
control methods. This means that the proposed algorithm can be used in high -speed navigation
systems where quick responses to environmental changes are crucial.</p>
      </sec>
      <sec id="sec-5-5">
        <title>5.5 Collision Avoidance and High-Density Navigation</title>
        <p>At the final stage of testing, a comparison of the algorithm's performance was conducted based on
several key indicators, such as recognition accuracy, processing speed, motion stability, and energy
consumption. The summarized results are presented in Table 3.</p>
        <sec id="sec-5-5-1">
          <title>PID Controller 74 Kalman Filter 78 Deep Neural 92 Network</title>
          <p>Hybrid Method 89
(Our Algorithm)</p>
          <p>As seen from the table, the proposed hybrid algorithm provides a better balance between accuracy,
processing speed, and motion stability. It demonstrates high efficiency in complex conditions and can
be integrated into modern robotic systems without significantly increasing hardware requirements.</p>
          <p>Based on the obtained data, it can be concluded that the use of the proposed algorithm significantly
enhances the efficiency of mobile robots in complex dynamic environments. It ensures smoother
movement, reduces obstacle recognition errors, and optimizes computational resource utilization.
This opens up new possibilities for the application of mobile robots in real-world scenarios, including
autonomous transport, rescue operations, and industrial automated systems.</p>
          <p>Additional tests were conducted under varying complexity conditions, including changes in
surface type, sudden braking and movement recovery, as well as unexpected obstacle appearances on
the robot's route. It was found that the proposed algorithm operates more stably under landscape
changes and maintains the planned trajectory more effectively. This is a crucial factor for its
application in logistics and industrial robotic systems, where route accuracy is of paramount
importance.</p>
          <p>In addition, the durability of the mobile robot's mechanical components was assessed when using
the proposed algorithm. The tests demonstrated that smoother motion adjustments reduce the load
on motors and chassis mechanical elements, extending their service life by approximately 15%
compared to classical control methods. This confirms the practical effectiveness of the algorithm in
long-term autonomous operation conditions.</p>
          <p>Another aspect of testing involved determining the algorithm's energy efficiency. The analysis
revealed that the proposed approach allows for up to 12% battery charge savings due to optimized
computational resource usage and a reduced number of corrective maneuvers. This makes it feasible
for deployment in autonomous robots, where minimizing energy consumption is critical for
prolonging operational time without recharging.</p>
          <p>Tests were also carried out in environments with a high number of mobile objects, such as other
robots or vehicles. In such scenarios, the algorithm exhibited improved motion coordination and
fewer instances of dangerous proximity to other objects. This suggests its suitability for use in
multicomponent automated systems, such as warehouses or urban environments.</p>
          <p>Overall, the obtained results indicate a significant improvement in mobile robot stability when
using the proposed hybrid algorithm. The combination of adaptive filtering, neural network analysis,
and fuzzy logic has reduced recognition errors, enhanced data processing speed, and decreased
resource consumption. This confirms the method's effectiveness and practical feasibility for a wide
range of applications.</p>
          <p>Thus, the conducted study demonstrates that the developed algorithm is highly efficient, stable,
and can be easily adapted to various types of mobile platforms. Further research may focus on its
integration with modern artificial intelligence systems and connection to distributed computing
systems for even greater optimization of mobile robot operations.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>In this study, a hybrid algorithm for processing sensor data was developed to enhance the stability
of mobile robots in dynamic environments. The proposed approach combines adaptive filtering,
neural network analysis, and fuzzy logic, allowing for improved obstacle recognition accuracy, faster
reaction time, and overall motion stability of the robot.</p>
      <p>The research results demonstrated that the algorithm reduces the average trajectory deviation by
22% and decreases the number of uncontrolled maneuvers, positively impacting energy efficiency and
resource conservation. Additionally, the data processing speed was increased by 40% compared to
classical stability methods, ensuring rapid adaptation to changing environmental conditions.</p>
      <p>Further testing confirmed that the developed algorithm enhances the stability of mobile robots
across different surface types and under varying lighting conditions. It effectively prevents collisions
and improves the safety of autonomous movement, making it a promising solution for industrial,
transportation, and rescue systems.</p>
      <p>Future research may focus on optimizing the computational cost of the algorithm and adapting it
for real-time operation with minimal latency. Another promising direction is integrating the
proposed method with augmented reality technologies and expanding its application to complex
multi-agent systems.</p>
    </sec>
    <sec id="sec-7">
      <title>Declaration on Generative AI</title>
      <p>In accordance with the CEUR-WS Guidelines on Generative AI, the authors confirm that the
article was prepared independently and without the involvement of generative AI technologies for
content creation. All writing, analysis, and interpretation of results reflect the authors' own work and
reasoning.</p>
    </sec>
  </body>
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