Fault Tolerant Control Design for Hybrid Systems

Hybridsystems(HS)aredynamicalsystemsthatinvolvetheinteractionofconti- ousanddiscretedynamics.ThestudyofHSismotivatedbythefundamentally- bridnatureofmanyreallifeapplications.Overthelastdecade,signi?cantprogress has taken place in modeling and simulation, veri?cation, stability and controller synthesisforHS. Faultsinautomatedprocessesoftencauseundesiredreactionsandshut-downof a controlledplant,andtheconsequencescouldbedamagetotechnicalpartsofthe plant or to its environment. Fault diagnosis (FD) and fault tolerant control (FTC) arehighlyrequiredforsafetypurpose,andaimatguaranteeingcertainsystemp- formances and/or properties to be maintained in spite of faults. In the past more than30years,fruitfultheoreticalresultsonFDandFTChavebeenreportedforv- iouslinearandnonlinearsystemswithmanysuccessfulengineeringapplicationsin practicalsystems. FD problem for HS has attracted some attentions. However, to the best of the authors knowledge, until now, the FTC issue for HS has not yet been intensively studied. FTC method for HS deserves further investigations due to its academic meaningaswellaspracticalone. 1. Motivationfromacademicresearch Itiswellknownthatthestabilityandsomespeci?cationsofHScanbeachieved underquite rigorousconditions.Most of existing results are devotedto off-line analysisanddesign,suchthattheHSworkswellaswhatitisexpected.However, faultsmayabruptlychangesystembehavior,FTCstrategiesmustbeapplied- line,notonlytokeepthestabilitybutalsotomaintainsomespeci?cationsofthe HSinpresenceoffaults.Thisresultsinagreattheoreticalchallenge,sincemany classicalFTCmethodsfornon-hybridsystemscannotbeeasilyextendedtoHS. FTCtheoryforHSneedstobedeveloped. VIII Preface 2. Motivationfrompracticalapplications Manypracticalsystemshavetobemodeledbyhybridmodels,e.g.chemicalp- cesses,switchedRLCcircuits,intelligenttransportationsystems,etc.Thesafety andreliabilityofthesesystemsareneeded,andFTCtechniquesforHSarehighly required. The HS considered in this book consists of a series of continuous modes and a switching logic. Switching from one mode to another is due to a switching law generated from the switching logic. Faulty behaviors of HS are investigated s- tematically.Two main kindsof faults are considered:Continuous faults that affect continuous modes; Discrete faults that affect the desired switching. In these two faultycases,theFTCdesignhastwomainobjectivesasfollows: 1) maintainthecontinuousperformancesincludingvariousstabilities (e.g.L- punovstability,asymptoticalstability andinput-to-statestability)oftheoriginand theoutputtracking/regulationbehaviorsalongthetrajectoriesofHS. 2) maintain the discrete speci?cations that have to be followed by HS, e.g. a desiredswitchingsequence.

Overviews the fault tolerant control design for hybrid systems Presents important theoretical results as well as their applications

Klappentext

cesses,switchedRLCcircuits,intelligenttransportationsystems,etc.Thesafety andreliabilityofthesesystemsareneeded,andFTCtechniquesforHSarehighly required. The HS considered in this book consists of a series of continuous modes and a switching logic. Switching from one mode to another is due to a switching law generated from the switching logic. Faulty behaviors of HS are investigated s- tematically.Two main kindsof faults are considered:Continuous faults that affect continuous modes; Discrete faults that affect the desired switching. In these two faultycases,theFTCdesignhastwomainobjectivesasfollows: 1) maintainthecontinuousperformancesincludingvariousstabilities (e.g.L- punovstability,asymptoticalstability andinput-to-statestability)oftheoriginand theoutputtracking/regulationbehaviorsalongthetrajectoriesofHS. 2) maintain the discrete speci?cations that have to be followed by HS, e.g. a desiredswitchingsequence.

Zusammenfassung

This book provides readers a good understanding on how to achieve Fault Tolerant Control goal of Hybrid Systems. It presents important theoretical results as well as their applications.

Inhalt
Fault Tolerant Control and Hybrid Systems.- Hybrid Systems with Time-Dependent Switching.- Hybrid Systems with State-Dependent Switching.- Hybrid Systems with Impulsive and Stochastic Switching.- Hybrid Systems with Discrete Specifications.- Hybrid Control Approach in FTC Design.- Conclusion and Future Research Directions.