Title

Norm Based Robust-Control Of State-Constrained Discrete-Time Linear-Systems

Authors

M. Sznaier

Title - Alternative

IEEE Trans. Autom. Control

Keywords

Feedback-Control; Optimization; Stability; Design; Automation & Control Systems; Engineering, Electrical & Electronic

Abstract

Most realistic control problems involve some type of constraint. However, to date, all the algorithms that deal with constrained problems assume that the system is perfectly known. On the other hand, during the last decade a considerable amount of time has been spent in the robust control problem. However, in its present form, the robust control theory can address only the idealized situation of completely unconstrained problems. In this note we present a theoretical framework to analyze the stability properties of constrained discrete-time systems under the presence of uncertainty and we show that this formalism provides a unifying approach, including as a particular case the well-known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems, while at the same time satisfying state-space constraints.

Publication Title

Ieee Transactions on Automatic Control

Volume

37

Issue/Number

7

Publication Date

1-1-1992

Document Type

Note

Language

English

First Page

1057

Last Page

1062

WOS Identifier

WOS:A1992JE07600030

ISSN

0018-9286

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