Title

Set Induced Norm Approach To The Robust Control Of Constrained Systems

Abstract

Most realistic control problems involve both some of time-domain constraints and model uncertainty. However, the majority of controller design procedures currently available focus only on one aspect of the problem, with only a handful of methods capable of simultaneously addressing both issues. Recently, it has been proposed to address this class of problems by using a 'constrained robustness measure,' generated by a constraint-set induced operator norm, to assess the stability properties of a family of systems. In this paper the properties of this constrained-robustness measure are explored and the theoretical framework is extended to include control as well as state constraints. These results are applied to the problem of designing fixed-order stabilizing feedback controllers for systems subject to structured parametric model uncertainty and time-domain constraints.

Publication Date

1-1-1993

Publication Title

SIAM Journal on Control and Optimization

Volume

31

Issue

3

Number of Pages

733-746

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1137/0331033

Socpus ID

0027594570 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027594570

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