Robust Controller Synthesis for Uncertain Time-Varying Systems

In this paper we develop and present new convex synthesis conditions for robust performance in linear time-varying systems, subject to time-varying perturbations. In particular, these results are exact for sensitivity minimization in the presence of multiplicative perturbations. The methods apply to...

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Bibliographic Details
Published inSIAM journal on control and optimization Vol. 40; no. 4; pp. 1312 - 1331
Main Authors Pirie, Carol, Dullerud, Geir E.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2002
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Hilbert space
Robust control
Time varying system
Uncertain system
Linear system
Control synthesis
Minimization
Linear time
Periodic system
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ISSN0363-0129
1095-7138
DOI10.1137/S0363012900369630

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Summary:In this paper we develop and present new convex synthesis conditions for robust performance in linear time-varying systems, subject to time-varying perturbations. In particular, these results are exact for sensitivity minimization in the presence of multiplicative perturbations. The methods apply to a number of additional robust performance problems and are always both necessary and sufficient when the system plant is periodic. Otherwise, the conditions provided are always sufficient, and a controller can be directly constructed when this condition holds.
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ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012900369630