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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Arti cial Emotions for Distributed Cyber-physical Systems Resilience</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Eskandar Kouicem</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Clement Raevsky</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Michel Occello</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Univ. Grenoble Alpes</institution>
          ,
          <addr-line>Grenoble INP, LCIS, 26000 Valence</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The concept of system resilience is important and popular in di erent domains like psychology, psychiatry, sociology, and more recently in cognitive science, biological disciplines, ecology and computer science. The main objective of this paper is to present a research avenue exploring the applicability of knowledge from those domains to solve resilience problems in cyber-physical systems. Emotions have been identied as an important process to cope with unexpected events and is therefore crucial for resilience. Our work is thus aimed at utilizing emotion-like processes in cyber-physical systems to improve their resilience, at individual and collective levels. Furthermore, one of our main assumptions is that the multi-agent paradigm is particularly well suited to embed such emotion-like processes in this type of systems.</p>
      </abstract>
      <kwd-group>
        <kwd>Arti cial Emotions</kwd>
        <kwd>Multi-agent systems</kwd>
        <kwd>Cyber-physical systems</kwd>
        <kwd>Resilience</kwd>
        <kwd>Distributed Arti cial intelligence</kwd>
        <kwd>Distributed Sys- tems</kwd>
        <kwd>Human and Social Sciences</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Emotion has a major in uence on the ability of humans to adapt to unknown or
unusual situations as individuals and as groups. It is therefore, a natural source of
inspiration when tackling the problem of distributed complex systems resilience
that we consider as the ability of such systems to identify and cope with
unexpected situations. As emotions positively have a physiological component, the
main application domain of this PhD project1 will include cyber-physical
systems, that is to say systems that are at least partially in direct interaction with
the physical world. Resilience concerns the ability to recognize, adapt, and
handle unanticipated perturbations that call into question the model of competence,
and demand a shift of processes, strategies and coordination [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ]. In our work,
we aim at including knowledge from psychology and sociology about resilience
and emotion in cyber-physical systems utilizing the multi-agent paradigm. This
paradigm brings to the existing approaches of resilience a social metaphor for
complex systems. In addition, we aim at embedding cognitive science and
psychology knowledge about resilience and cognitive functions of emotion in the
1 This project is funded by the Trust research chair of the Grenoble-INP Foundation
and the Auvergne-Rh^one-Alpes region.
individual systems decision-making mechanisms and in the self-organizing
processes of agents groups.
      </p>
      <p>In this paper, we start by presenting a synthesis in the eld of resilience
in human and social science and present the applicability of these concepts to
cyber-physical systems. After that, we will present the multi-agent paradigm our
solution will be based on. We will then present arti cial emotions and expose the
way we plan to use inspiration from human emotion to solve resilience problems.
Finally, we conclude this paper by the description of the state of this project.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Resilience</title>
      <p>
        Resilience is studied by researchers in a variety of disciplines including
psychology, psychiatry, sociology, and more recently cognitive science, biological
disciplines, ecology and computer science. Resilience has di erent de nitions in
di erent communities. In ecology, resilience is the ability of an ecosystem or
species to recover its normal behaviour after experiencing traumas. In
psychology, \resilience is the ability of a person or a group to develop well, to continue
to project into the future, despite destabilizing events, di cult living conditions
and sometimes severe traumas" [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. At the level of the individual, traumas
destroy the psyche, at the level of the group, traumas destroy the existing bonds
between the members of the group [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. In computer science, resilience is the
persistence of supplying services and the availability of features [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ].
2.1
      </p>
      <sec id="sec-2-1">
        <title>Resilience in Human and Social Sciences</title>
        <p>
          In human and social sciences and especially psychology, there are two types of
resilience, individual and collective. Individual resilience is the process of,
capacity for or outcome of successful adaptation despite challenging or threatening
circumstances [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ]. Collective resilience is the ability of communities to
withstand external shocks to their social infrastructure [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. Psychological resilience
is characterized by the ability to bounce back from negative emotional
experiences and by adapting exibly to the changing demands of stressful experiences,
also, the positive emotionality emerges as an important element of psychological
resilience [
          <xref ref-type="bibr" rid="ref15 ref32">32,15</xref>
          ].
        </p>
        <p>
          The work of Norris et al. [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ] (see Fig. 1) gives us insight on the applicability
of resilience in an arti cial system by introducing the robustness, redundancy,
and rapidity notions. It explicitly states that resilience depends on its resources
to react well and amortize stress. According to Norris et al. [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ] the keys concepts
relating resources and resilience are:
{ Resources : Objects, conditions, characteristics, and energies that people
value.
{ Robustness: resource strength, in combination with a low probability of
resource deterioration.
{ Redundancy: the extent to which elements are substitutable in the event of
disruption or degradation.
{ Rapidity : how quickly the resource can be accessed and used (mobilized).
        </p>
        <p>
          On the one hand, vulnerability occurs when resources are not su ciently
robust, redundant, or rapid to create resistance or resilience, resulting in
persistent dysfunction. The more severe, enduring, and surprising the stressor, the
stronger the resources must be to create resistance or resilience. On the other
hand, resilience occurs when resources are su ciently robust, redundant, or rapid
to bu er or counteract the e ects of the stressor allowing the organization to
adapt its functioning to the altered environment. For human individuals and
communities, this adaptation manifests in wellness [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ].
2.2
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Resilience in Cyber-Physical Systems</title>
        <p>
          The 5C architecture presented by Lee et al. [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] clearly de nes how to build
a CPS from the initial data acquisition to the creation of nal value through
analysis. The detailed architecture of the 5C is described in Fig. 2. As we can
see, the con guration level is the one that allows machines to self-con gure and
self-adapt. According to the de nition of resilience we adopted, our contribution
to CPSs resilience lies in this con guration level.
        </p>
        <p>
          Usually, a CPS consists of two main functional components: (i) advanced
connectivity that provides real-time data acquisition of the physical world and
cyberspace feedback and (ii) intelligent management of data, data analytics and
computing capabilities that build cyberspace. However, this requirement is very
abstract and not speci c enough for the implementation in general. The total
integration of the 5 levels within a CPS is currently rarely achieved, and it is
not always justi ed according to the type of application [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ].
        </p>
        <p>
          Linkov and Kott [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ] de ne cyber-resilience as the ability of a system to
recover or regenerate its performance after a malfunction (or attack) has degraded
it (see Fig. 3). In this graph, we can see the four stages of the event management
cycle that a system needs to maintain to be resilient according to the National
Academy of Sciences (NAS) [
          <xref ref-type="bibr" rid="ref1 ref19">1,19</xref>
          ] which are:
1. Plan/Prepare: lay the foundation to keep services available and assets
functioning during a disruptive event (malfunction or attack).
2. Absorb: maintain most critical asset function and service availability while
repelling or isolating the disruption.
3. Recover: restore all asset function and service availability to their pre-event
functionality.
4. Adapt: using knowledge from the event, alter protocol, con guration of the
system, learning process, or other aspects to become more resilient.
2.3
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>Traditional resilience approaches problems</title>
        <p>In general, resilience approaches can be divided into two broad categories:
qualitative and quantitative.</p>
        <p>{ The qualitative category, which includes methods that evaluate the resilience
of a system without a numeric descriptor, contains two sub-categories:
Conceptual frameworks that o er best practices.</p>
        <p>Semi-quantitative indices that provide expert assessments of di erent
qualitative aspects of resilience.
{ Quantitative methods include two sub-categories:</p>
        <p>General resilience approaches that provide domain-independent
measures for quantifying resilience across applications.</p>
        <p>Structural modelling approaches that model representations speci c to
the components of the resilience components.</p>
        <p>
          Linkov and Kott [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ] classify existing work dealing with resilience into two
other main categories: metric-based and model-based approaches. Metric-based
approaches use measurements of the individual properties of system components
or functions to assess overall system performance. Model-based approaches use
system con guration modelling and scenario analysis to determine the overall
performance of the system (see Fig. 4). Agent based approach and multi-agent
systems are considered as model-based approaches to address resilience.
        </p>
        <p>
          We nd that the main approaches addressing the issue of resilience are
centralized or based on redundancy [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. This project aims to provide the subsystems
constituting a CPS with a form of decision-making autonomy, allowing the CPS
to detect abnormal situations and then adapt its behaviour to these situations.
To do so, our approach utilize the multi-agent paradigm.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Multi-agent systems and resilience</title>
      <p>In this section, we are going to present multi-agent systems, self-organization
and the advantages of using a multi-agent approach for cyber-physical systems
resilience.
3.1</p>
      <sec id="sec-3-1">
        <title>Multi-agent system (MAS)</title>
        <p>
          An agent is a real (physical) or virtual entity, located in an environment, able
to perceive and act upon it, which can communicate with other agents, an agent
is responsive, proactive, social, autonomous and can also have the ability to
learn [
          <xref ref-type="bibr" rid="ref33 ref8">8,33</xref>
          ]. According to Demazeau, a multi-agent system is a system composed
of: a set of agents, an environment, a set of relationships and interactions between
agents and a set of organizations of agents [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
        <p>
          According to Ferber [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] MAS main characteristics are:
{ Each agent has its own role.
{ No global control.
{ The data and the decisions are decentralized.
{ The operations are asynchronous.
        </p>
        <p>The notion of organization plays a fundamental role within MASs and can
be de ned as:
{ a mean of logically organizing agents,
{ a default communication network, and
{ an agent, role, or competence search media.</p>
        <p>
          In addition, its rei cation provides an entry point into the system for visualizing
and improving agent interactions through its dynamic evolution. Organization is
needed to structure the interactions that occur between di erent system entities
(agents) [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]. MASs can be provided with a self-organization process making
them able to adapt to changes in the environment. Self-organization is an
endogenous, bottom-up, process concerning systems in which only information is
manipulated by agents which may be unaware of the state of the organization in
its entirety [
          <xref ref-type="bibr" rid="ref13 ref7">7,13</xref>
          ]. Self-organization is achieved by modifying the organization;
either by directly changing the con guration of the system (topology,
neighborhoods, and in uences) or through the system's environment by using local
interactions and in uences, avoiding using prede ned models.
3.2
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>Multi-agent approach for resilience</title>
        <p>
          Multi-agent systems o er us a decentralized solution to solve the \single point
of failure" problem which is intrinsic in centralized solutions. Moreover, with
a multi-agent approach we can avoid the redundancy/replication of a lot of
software and hardware components of the cyber-physical system [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. Multi-agent
system can maintain its functioning in case communication loss, decrease of data
volumes to be transmitted and scaling using the autonomy of its agents. In
addition, adopting the multi-agent paradigm and self-organization is breaking
with traditional approaches of resilience by the fact that it makes a use of a
social metaphor for complex systems. Adding to that, this paradigm allows us
to use cognitive science and psychology to reproduce the cognitive functions of
emotions, both in the decision-making mechanism of the individual and in the
process of the self-organization of the group.
4
        </p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Arti cial emotions and CPSs</title>
      <p>In this section, we are going to present arti cial emotions, emotions theories
(computational models) and the use of arti cial emotions in our project.
4.1</p>
      <sec id="sec-4-1">
        <title>Arti cial emotions</title>
        <p>
          According to Frijda [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], emotional phenomena are: non-operationalized behaviours,
non-instrumental behavioural traits, physiological changes, and evaluative
experiences, related to the subject, all caused by external or mental events, and
primarily by the meaning of such events. In computer science, arti cial
emotions are a set of pre-programmed or non-scheduled processes running within a
machine, facilitating decision-making and enabling the system to adapt to the
environment. This arti cial emotion is the fruit of the program's input-output as
well as its own internal activity, and is often the object of a collaboration with
a cognitive structure, by means of which the system deals with the problems
introduced by its environment. In addition, it is part of a programming logic
more or less explicit, but still in the eld of computable [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. In the literature,
a panoply of emotion models and computational models are o ered but for an
arti cial system, certain constraints are always present (performance, reliability,
durability, integration...) for this reason the choice of an emotion model and
a computational model requires a deep analysis to have the best choice for a
cyber-physical system (see Fig. 5).
        </p>
        <p>
          Appraisal theory is one of the main psychological perspectives on emotion
and arguably the most fruitful source for the design of symbolic AI systems. In
this theory, emotion is argued to arise from patterns of individual judgment
concerning the relationship between events and an individuals beliefs, desires and
intentions, sometimes referred to as the person-environment relationship [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ].
These judgments, formalized through reference to devices such as situational
meaning structures or appraisal variables [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ], characterize aspects of the
personal signi cance of events. Patterns of appraisal are associated with speci c
physiological and behavioral reactions. Computational appraisal models have
been applied to a variety of uses including contributions to psychology and AI.
For example, several authors have argued that appraisal processes would be
required by any intelligent agent that must operate in real-time, ill-structured,
multi-agent environments (e.g., Staller and Petta [
          <xref ref-type="bibr" rid="ref30">30</xref>
          ]).
        </p>
        <p>
          Dimensional theories of emotion argue that emotion and other a ective
phenomena should be conceptualized, not as discrete entities but as points in a
continuous (typically two or three) dimensional space [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ]. It is not surprising
that these theories relegate the term emotion to a cognitive label attributed,
retrospectively, to some perceived body state. Computational dimensional models
are most often used for animated character behavior generation, perhaps because
it translates emotion into a small number of continuous dimensions that can be
readily mapped to continuous features of behavior such as the spatial extent of
a gesture. For example, PAD model of Mehrabian and Russell [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] where these
dimensions correspond to pleasure (a measure of valence), arousal (indicating
the level of a ective activation) and dominance (a measure of power or control).
        </p>
        <p>
          Anatomic theories stem from an attempt to reconstruct the neural links
and processes that underlie organisms emotional reactions [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ]. Unlike appraisal
theories, such models tend to emphasize sub-symbolic processes. Unlike
dimensional theories, anatomic approaches tend to view emotions as di erent, discrete
neural circuits and emphasize processes or systems associated with these
circuits. Computational models inspired by the anatomic tradition often focus on
low-level perceptual-motor tasks and encode a two-process view of emotion that
support for a fast, automatic, undi erentiated emotional response and a slower,
more di erentiated response that relies on higher-level reasoning processes (e.g.,
Armony et al. [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]).
        </p>
        <p>
          Rational approaches typically reside in the eld of arti cial intelligence
and view emotion as window through which one can gain insight into adaptive
behavior. Within this rational approaches, cognition is conceived as a collection
of symbolic processes that serve speci c cognitive functions and are subject
to certain architectural constraints on how they interoperate. Emotion, within
this view, is simply another, although often overlooked, set of processes and
constraints that have adaptive value. Models of this sort are most naturally
directed towards the goal of improving theories of machine intelligence [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ].
4.2
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>Arti cial emotions for CPSs</title>
        <p>
          Emotions have inspired many studies on human-machine interaction and
especially on the detection and expression of natural emotions [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. Other work on
arti cial emotions aim to reproduce in arti cial systems the stereotyped
behaviors that are associated to make virtual agent behaviors more realistic [
          <xref ref-type="bibr" rid="ref2 ref29">29,2</xref>
          ].
        </p>
        <p>
          It should be noted that our work is clearly distinct from these themes
because it does not deal with the interaction with humans or simulation of natural
emotions but to reproduce their functions [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ]. In existing approaches of
articial emotions, emotions are elicited by an analysis of symbolic events related
to the system's goals or include a lot of knowledge from the system's designer
about situations the system might encounter. These initial assumptions of
existing work limits intrinsically the resilience of the resulting systems. Furthermore,
these characteristics are hardly applicable to CPSs since 1) they are embedded
in the physical world and can't trigger emotions from symbolic data about the
situation and 2) the distributed and open nature of CPSs make it impossible for
their designers to foresee all possible situations.
        </p>
        <p>Our aim is to design processes that replicate some functions of emotions
while avoiding to depend upon such assumptions. Therefore, the functions of
emotion we chose to replicate in arti cial systems to improve their resilience are:
detecting abnormal situations and updating social organizations in response to
these abnormal situations. These functions are directly related to the "Absorb"
and "Adapt" phases of the resilience pro le depicted in Fig. 3.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>State of the project</title>
      <p>In this project, we adopted an experimental approach made of di erent
hypotheses, and currently we are working on an emotional agent model for testing their
validity.</p>
      <p>From the state of the art of arti cial emotions, resilience and multi-agent
systems, we are designing an individual, decentralized mechanism for detecting
abnormal situations using a process inspired by the triggering of an emotional
episode. The mechanism will be used in the "Absorb" phase of the resilience
pro le and integrated in our agent model. Another mechanism will be designed,
a process of adapting the individual behaviour of subsystems to improve the
resilience of the CPS (the "Adapt" phase of the resilience pro le). Using the
multi-agent paradigm, we design a collective process for detecting abnormal
situations using the information built by the individual detection mechanism. This
collective process is initiated by the behaviour adopted when an abnormal
situation is detected individually. The adaptation of individual behaviour impacts
on the social organization of the group of agents carrying out the control of the
CPS, which will trigger a self-organization in order to collectively adapt to the
abnormal situation.</p>
      <p>
        The mechanisms proposed in this project are generic, not speci c to the
tasks of the system. For validating our hypotheses, we have chosen a case of
application, a building's thermal regulation system (CP Strb), consisting of a set
of heaters, air conditioners, thermal sensors, thermostats, light sensors, fans and
automatic rolling shutters. The resilience in this system is that CP Strb continues
to ensure the temperatures chosen by users in case of problems. Before de ning
the resilience for our CP Strb, we have described the main features, sensors,
actuators of this system as well as the potential problems it may encounter.
In this context, we are interested in problems like: connectivity breakdown, a
node failure, increasing workload issue and adding or removing a node to/from
CP Strb. This cyber-physical system is agenti ed using DIAMOND method [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
In this method, there are four phases to move from global characterization to
the speci cation of local behaviours:
{ Situation phase : de ne the general context of the multi-agent system, i.e.
      </p>
      <p>the environment, the agents with their main capacities and their contexts.
{ Individual phase : de ne agents from an internal point of view
(independent of social relationships).
{ Social phase : describe the interaction and organization from an external
point of view.
{ Integration phase : to integrate social in uences into agents behaviours.</p>
      <p>
        The proposed processes and multi-agent system will be simulated using MASH2 [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ],
a hybrid hardware software simulation platform, in order to quantify
experimentally the resilience improvements they bring.
2 MASH (MultiAgent Software/Hardware simulator)
      </p>
    </sec>
  </body>
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