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Discrete-Time Stochastic Sliding Mode Control Using Functional Observation

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  • © 2020

Overview

  • Broadens understanding of sliding-mode control of stochastic discrete-time systems
  • Provides theoretical groundwork for more diverse applications of sliding-mode control
  • Helps readers to cope with various sources of process and measurement noise in their control designs

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 483)

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Table of contents (7 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India

    Satnesh Singh, S. Janardhanan

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