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Local Disturbance Decoupling with Stability for Nonlinear Systems

  • Book
  • © 1991

Overview

Authors:
  1. Leonardus Ludovicus Marie Wegen
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 166)

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Table of contents (7 chapters)

  1. Front Matter

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  2. 1. Introduction

    Pages 1-12

  3. 2. Preliminaries

    Pages 13-37

  4. 3. The local disturbance decoupling problem with stability for nonlinear systems 1

    Pages 38-56

  5. 4. The local disturbance decoupling problem with stability for nonlinear systems 2

    Pages 57-72

  6. 5. Connections between the solution of the LDDPS for a nonlinear system and the DDPS for its linearization

    Pages 73-84

  7. 6. The local dynamic disturbance decoupling problem with stability for nonlinear systems

    Pages 85-107

  8. 7. Conclusions

    Pages 108-111

  9. Back Matter

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Keywords

About this book

In this monograph the local disturbance decoupling problem with stability istreated for nonlinear systems. This problem consists in finding a (dynamic) state feedback for a given control system with two kinds of inputs, viz. controlled inputs and (uncontrolled) disturbances such that after application of this feedback the outputs are not influenced by the disturbances and the resulting internal dynamics are locally exponentially stable. In case only static state feedback is allowed two essentially different solutions are obtained, viz. a fundamental one and a more problem-oriented one. Both methods generalize well-known solutions for linear systems. In the last chapter a solution is found in case dynamic state feedback is allowed. Here a typical nonlinear phenomenon is pointed out, namely that there exist nonlinear systems for which the disturbance decoupling problem (with stability) can be solved by applying dynamic feedback, but not by using static feedback. The bookis intended for researchers in mathematical nonlinear systems theory. Geometric techniques play a key role in the book. Therefore, in Chapter 6 algebraic techniques are recalled and used.

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