Title

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

Abstract

Most realistic control problems involve some type of con- straint. 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. © 1992 IEEE

Publication Date

1-1-1992

Publication Title

IEEE Transactions on Automatic Control

Volume

37

Issue

7

Number of Pages

1057-1062

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/9.148373

Socpus ID

0026892156 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0026892156

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