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Robust H∞ control for uncertain discrete-time systems with circular pole constraints

✍ Scribed by Shengyuan Xu; Chengwu Yang; Shaosheng Zhou

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 98 KB
Volume: 39
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(99)00066-3

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✦ Synopsis

This paper investigates the problem of robust H∞ control for uncertain discrete-time systems with circular pole constraints. The system under consideration is subject to norm-bounded time-invariant uncertainties in both the state and input matrices. The problem we address is to design state feedback controllers such that the closed poles are located within a prespeciÿed circular region, and the H ∞ norm of the closed-loop transfer function is strictly less than a given positive scalar for all admissible uncertainties. By introducing the notion of quadratic d stabilizability with an H∞ norm-bound, the problem is solved. Necessary and su cient conditions for quadratic d stabilizability with an H∞ norm-bound are derived. Our results can be regarded as extensions of existing results on robust H∞ control and robust pole assignment of uncertain systems.

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