Discrete-time stochastic sliding mode control using functional observation / Satnesh Singh, S. Janardhanan.

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Discrete-time stochastic sliding mode control using functional observation / Satnesh Singh, S. Janardhanan.

9783030328009 (electronic book)
3030328007 (electronic book)
9783030327996

Cham : Springer, 2020.

English

1 online resource (xvii, 114 pages) : illustrations.

10.1007/978-3-030-32

TJ220.5

629.8

This book extrapolates many of the concepts that are well defined for discrete-time deterministic sliding-mode control for use with discrete-time stochastic systems. It details sliding-function designs for various categories of linear time-invariant systems and its application for control. The resulting sliding-mode control addresses robustness issues and the functional-observer approach reduces the observer order substantially. Sliding-mode control (SMC) is designed for discrete-time stochastic systems, extended so that states lie within a specified band, and able to deal with incomplete information. Functional-observer-based SMC is designed for various clauses of stochastic systems: discrete-time; discrete-time with delay; state time-delayed; and those with parametric uncertainty. Stability considerations arising because of parametric uncertainty are taken into account and, where necessary, the effects of unmatched uncertainties mitigated. A simulation example is used to explain the use of the functional-observer approach to SMC design. Discrete-Time Stochastic Sliding-Mode Control Using Functional Observation will interest all researchers working in sliding-mode control and will be of particular assistance to graduate students in understanding the changes in design philosophy that arise when changing from continuous- to discrete-time systems. It helps to pave the way for further progress in applications of discrete-time SMC.

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Lecture notes in control and information sciences ; 483.

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