Analysis of robust H2 performance using multiplier theory

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Abstract

In this paper, the problem of determining the worst-case H2 performance of a control system subject to linear time-invariant uncertainties is considered. A set of upper bounds on the performance is derived, based on the theory of stability multipliers and the solution of an original optimal control problem. The numerical issues raised by the resulting computational problems are discussed; in particular, newly developed interior-point convex optimization methods, combined with linear matrix inequalities, apply very well to the fast and accurate solution of these problems. The new results compare favorably with prior ones. The method can be extended to other types of perturbations.
Original languageEnglish (US)
Pages (from-to)160-177
Number of pages18
JournalSIAM Journal on Control and Optimization
Volume35
Issue number1
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

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