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Stoorvogel, A. A.; Trentelman, H. L.

The mixed \(H_ 2\) and \(H_ \infty\) control problem. (English) Zbl 0788.93071

Hosoe, Shigeyuki (ed.), Robust control. Proceedings of a workshop held in Tokyo, Japan, June 23-24, 1991. Berlin: Springer-Verlag. Lect. Notes Control Inf. Sci. 183, 202-209 (1992).

Summary: This paper is concerned with robust stability in combination with nominal performance. We pose an \(H_ \infty\) norm bound on one transfer matrix to guarantee robust stability. Under this constraint we minimize an upper bound for the \(H_ \infty\) norm of a second transfer matrix. This transfer matrix is chosen so that its \(H_ 2\) norm is a good measure for performance. We extend earlier work on this problem. The intention is to reduce this problem to a convex optimization problem.
For the entire collection see [Zbl 0777.00038].

MSC:

93D09	Robust stability
93B35	Sensitivity (robustness)
93C15	Control/observation systems governed by ordinary differential equations

Keywords:

convex optimization problem

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