Abstract
This chapter introduces the sliding model control of chaotic systems. The main two branches of chaos control, chaos control and chaos synchronization are discussed. Three kinds of sliding mode control methods, traditional sliding mode control, terminal sliding mode control and non-singular terminal sliding mode control are used to control a chaotic system to realize two different control objectives, to force it to converge to zeros or to track desired trajectories, such as an unstable limit cycle. In addition, observer based chaos synchronization is described. The synchronization for two kinds of chaotic systems with single nonlinearity and multi-nonlinearities are presented, respectively. In order to realize chaos synchronization via one single transmission channel, a time division multiplex based method is used.
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