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.