Boubaker, Olfa, Zhu, Quanmin, Mahmoud, Magdi S., Ragot, José, Karimi, Hamid Reza, Dávila, Jorge, Université de Carthage - University of Carthage, University of the West of England [Bristol] (UWE Bristol), King Fahd University of Petroleum and Minerals (KFUPM), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Politecnico di Milano [Milan] (POLIMI), Instituto Politecnico Nacional [Mexico] (IPN), and Olfa Boubaker and Quanmin Zhu and Magdi S. Mahmoud and José Ragot and Hamid Reza Karimi and Jorge Dávila
International audience; For more than half a century, considerable efforts have been made in thefield of system control and monitoring. These actions are, obviously, crucialin the presence of technological risks directly impacting human health andthe environment. Techniques to be developed aim, in general, to betterunderstand, at each moment, the state of a system. The estimation phaseis, of course, insufficient, and should be completed by state analysis toevaluate its normal or abnormal character. In the latter case, the analysis isfurther refined to accurately localize where the anomaly is to be found, tospecify which part of the system, sensor, or actuator, is faulty. In order tojudge the importance of the anomaly, its magnitude should be estimated.The ultimate phase of diagnosis seeks to specify the cause of the anomaly.In some cases, although this remains marginal because of great difficultyat the moment, the future evolution estimation of the anomaly is made.All these steps can contribute to considering how to react to anomalies inorder to reduce their effects by means of appropriate control laws.This book does not attempt to address all these problems, but it canbe a good introduction to some of the techniques designed to estimatethe system states in different situations. In particular, the design of anobserver to reconstruct the system states from partial measurements, howto use a state observer to detect and locate anomalies, and how to adjust acontrol law to counter the effect of anomalies on the behavior of a systemwill be discussed. In addition, a number of difficulties resulting fromrealistic physical constraints are considered: the presence of uncertaintiesand delays in system models; the influence of unmeasured exogenousinputs on system dynamics; the nonlinear behavior of systems; switchingsystems, or systems with several operating modes and interconnectedsystems. This diversity of objectives, systems, and constraints is coveredin complementary chapters, and addresses a large part of the problem ofobserver state estimation and its applications.This book is a timely and comprehensive reference guide for graduatestudents, researchers, engineers, and practitioners in the areas of controltheory. The content has been written for investigators acting in the fieldsof electrical, mechanical, aerospace, or mechatronics engineering. Withcontributions by eminent scientists in the field of control theory andsystems engineering from22 countries, this book covers the latest advancesin observer-based control, from new design approaches to control engineeringapplications. Readers will find the fundamentals and applicationsrelated to this topical issue. The book contains examples that make it idealfor advanced courses, as well as for researchers starting to work in the field,or engineers wishing to enter the field quickly and efficiently.The authors of the various chapters have tried to clearly present thetheoretical concepts underlying the proposed solutions, and to illustratethem with pedagogical examples of modest dimensions; but allowing usto clearly see the implementation of these solutions and to assess theirrelevance through numerical data. In some cases, short Matlab programscomplete the formulation. The book is structured in 13 chapters, and theorganization is given as follows.Chapter 1 is dedicated to the class of descriptor systems. After somereminders on proportional and proportional-integral observers, theauthors propose a new dynamical observer called “general observerstructure,” and its extension to the case of systems with disturbing input.The stability analysis of the observer is proved via a Lyapunov methodand solved via a set of linear matrix inequalities (LMIs). Several academicexamples illustrate the performance of the proposed structure.Chapter 2 proposes an observer design technique for nonlinear interconnectedsystems with uncertain variable parameters. The observer hasadaptive parameters that are adjusted from a stability study of the reconstructionerror. The two examples that are given, coupled reverse pendulumsand a quarter vehicle system, illustrate the implementation.The case of a linear switching system is discussed in Chapter 3, incorporatingtwo difficulties: the presence of unknown inputs, and a lackof knowledge of the switching law. The observer is then designed toestimate the continuous and discrete states of the system. The proposedtechnique is applied to a modulation/demodulation procedure in a securecommunication system with chaotic behavior.Another interesting situation is the subject of Chapter 4: state estimationfor linear systems with unknown inputs and delays affecting their statesand inputs. A first method proposes the design of a delay-dependentunknown input observer (UIO), whereas a second one suggests the designof a delay-independent UIO. The numerical example of the quadruple-tankbenchmark is used to illustrate the efficiency of the two proposedmethodsfor the case study.Chapter 5 presents the basics, progress, and outlook for the observerbasedcontrol design problem in dynamical systems. After reviewing theroots and needs of the problem, the authors have provided completeanalytical results pertaining to dynamic modeling, control design, andcomputer simulation of several distinct approaches. The authors have alsoinvestigated issues regarding robust stability and robust performance ofcontrol design for different system configurations.In Chapter 6, the authors have developed new sufficient LMI conditionsfor the problem of stabilization of discrete-time uncertain switched linearsystems under arbitrary switching rules. Different scenarios of the use ofFinsler’s lemma are proposed to reduce the conservatism of existing resultsin the literature. Numerical examples and simulation results are presentedto demonstrate the effectiveness of the proposed methods.Model predictive control (MPC) based on state observers for nonlinearmultivariable systems is the subject of Chapter 7. To overcome classical limits,the authors developed an adaptive MPC-based observer for nonlinearmultivariable systems. The implementation of the proposed approach toa three-tank benchmark system is performed, with a comparison betweenlinear and nonlinear predictive controllers.The authors of Chapter 8 propose a new decentralized observer-basedcontroller design method for nonlinear discrete-time interconnected systemswith nonlinear interconnections. An enhanced linear matrix inequalitydesign condition is provided to guarantee asymptotic stability forsystems with both known and unknown interconnection bounds. Twonumerical examples illustrate the effectiveness of the design approach.Chapter 9 presents results of the polytopic model (PM) approach tocopewith the modeling, stability analysis, state feedback control, state, andunknown input estimation, and finally, fault-tolerant control of nonlinearsystems. The backbone of all presented results is the capacity of the PMstructure to represent nonlinearities in a selected operating range of thesystem. It is proposed to design a fault-tolerant controller fed with thesimultaneous state and unknown input estimates. The benefits of the activefault-tolerant controller based on the PM approach are illustrated in anexample consisting of the stabilization of the lateral dynamics of a vehicle.Chapter 10 studies the application of high-order sliding mode observersfor the estimation of faults and their later compensation in linear systems.The study is restricted to the systems with strongly observable faults. Themain idea is to exploit the finite-time convergence of the high-order slidingmode-based observers to estimate the states, and also the dynamic effects,of the faults, showing that these are powerful tools not only to estimatestates, but also unknown signals. The methodology is illustrated with thedesign of a fault-tolerant control of the roll autopilot for a missile mode.The authors of Chapter 11 consider the problem of simultaneous stateand fault estimation of linear descriptor and nonlinear descriptor discretetimestochastic systems with arbitrary unknown disturbances. The studyis based on input filtering and the use of a robust two-stage Kalman filter.Chapter 12 investigates the problem of the simultaneous estimation ofdiscrete state, continuous state, and faults of a class of switched linearsystems with measurement noise. Anew algebraic approach is developedin order to estimate, in real time, and with a negligible delay, the switchingtimes, and to reconstruct the discrete state. The proposed strategy isillustrated by a system with three operating modes whose dynamics areaffected by two faults.Chapter 13 introduces an appropriate model associating paradigmsfrom control theory and computer science to deal with the system subjectto both physical attacks and sensor/actuator attacks via the connectednetwork. Inspired by a combination of the classical fault-tolerant controlapproach and the event-triggered control, an observer-based, attacktolerantcontrol solution is proposed. The control design is applied to alaboratory benchmark including a three-tank system subject to physicalattacks.Finally, on behalf of all the editors, I would like to express my gratefulnessto all the authors of the book for their valuable contributions, andall reviewers for their helpful and professional efforts to provide valuablecomments and feedback.