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In this chapter, a brief introduction to the concepts of sliding mode control and multirate output feedback would be given. The chapter would describe and distinguish the concepts of variable structure control and sliding mode control and would clarify the concept of discrete-time sliding mode and discrete-time sliding mode control. The chapter would also explain the concept of multirate...
In [27], a reaching law approach was proposed for the quasi-sliding mode control of discrete-time LTI systems of form (1.20). The reaching law approach aims at satisfying the condition s(k+1)–s(k)=–qτs(k)–ετsgn (s(k)), where, s(k)=cTx(k) is the sliding function, q and ε are controller parameters...
This chapter introduces various techniques of multirate output feedback based discrete-time sliding mode control of LTI systems with uncertainty. Systems satisfying the so-called matching condition [19] would be studied first. Linear systems that do not satisfy this condition would be handled next in the chapter. Finally the chapter would present a discrete-time version of the integral sliding-mode...
In recent years, the study of sliding mode control for systems with time delay in its state dynamics has received consideration. The delays present in a system can be broadly categorized into three categories. The input delay, state delay and output delay. Input delay is caused by the transmission of a control signal over a long distance. State delay is due to transmission or transport delay...
The tracking problem of systems is one that has come under a lot of investigation. The initial studies were on the transfer function models of the system, based on internal model control [23], which used the inverse dynamics of the system to design a tracking controller. The problem with this simple logic arouse in cases wherein the system was nonminimum phase, i.e., had unstable zeros. In...
The behavior of the system in sliding mode is determined by the sliding manifold upon which the system states are constrained. Sliding hyperplanes, being the most generally used manifolds guarantee asymptotic stability of the system in the sliding mode. This would mean that the system states converge to the origin, but generally at an infinite time. Terminal sliding mode (TSM) control [55]...
In this chapter, the applicability of the concept of multirate output feedback based discrete-time sliding mode control, will be analysed for a few practical systems.
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