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Discrete-Time Higher Order Sliding Mode

The Concept and the Control

  • Book
  • © 2019

Overview

Authors:
  1. Nalin Kumar Sharma

    1. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India

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  2. Janardhanan Sivaramakrishnan

    1. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India

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    You can also search for this author in PubMed   Google Scholar

  • Introduces the concept of discrete-time higher order sliding mode
  • Analyzes both the deterministic and non-deterministic case
  • Written by experts in the field

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Preliminaries

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 1-14

  3. Discrete-Time Higher Order Sliding Mode

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 15-32

  4. Optimal Discrete-Time Higher Order Sliding Mode

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 33-48

  5. Discrete-Time Higher Order Sliding Mode Control of Unmatched Uncertain Systems

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 49-69

  6. Adaptive Discrete-Time Higher Order Sliding Mode

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 71-81

  7. Stochastic Discrete-Time Higher Order Sliding Mode

    • Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
    Pages 83-94

  8. Back Matter

    Pages 95-96
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Keywords

About this book

This monograph investigates the existence of higher order sliding mode in discrete-time systems and propounds a new concept of discrete-time higher order sliding mode. The authors propose a definition of discrete-time higher order sliding mode and a control law is designed by means of a concept for an uncertain linear-time invariant system, as well as the behavior of the closed-loop system is analyzed. Moreover, the book includes a thorough treatment of the probabilistic and non-deterministic case, i.e. stochastic discrete-time higher order sliding mode. The target audience primarily comprises research experts in control theory but the book may also be beneficial for graduate students alike.

Reviews

“The target audience for this book includes researchers in control theory and graduate students interested in sliding mode control.” (IEEE Control Systems Magazine, Vol. 41 (2), April, 2021)

Authors and Affiliations

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

    Nalin Kumar Sharma, Janardhanan Sivaramakrishnan

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