Local Disturbance Decoupling with Stability for Nonlinear Systems

✍ Scribed by Dr. Leonardus Ludovicus Marie van der Wegen (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 1991
Tongue: English
Leaves: 136
Series: Lecture Notes in Control and Information Sciences 166
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Introduction....Pages 1-12
2. Preliminaries....Pages 13-37
3. The local disturbance decoupling problem with stability for nonlinear systems 1....Pages 38-56
4. The local disturbance decoupling problem with stability for nonlinear systems 2....Pages 57-72
5. Connections between the solution of the LDDPS for a nonlinear system and the DDPS for its linearization....Pages 73-84
6. The local dynamic disturbance decoupling problem with stability for nonlinear systems....Pages 85-107
7. Conclusions....Pages 108-111

✦ Subjects

Control Engineering; Appl.Mathematics/Computational Methods of Engineering; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization

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