MIMO optimal control design: the interplay of the H2 and the l1 norms

M. V. Salapaka; M. Dahleh; Petros Voulgaris

MIMO optimal control design: the interplay of the H₂ and the l₁ norms

M. V. Salapaka, M. Dahleh, Petros Voulgaris

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

In this paper we consider the problem of minimizing the H₂ performance of the closed loop subject to a l₁ constraint. The development is devoted to multi-input multi-output (MIMO) systems. It is shown that approximating solutions to the optimal within any a priori given tolerance can be obtained via a finite dimensional quadratic optimization problem whose dimension is known a priori.

Original language	English (US)
Pages (from-to)	3682-3687
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
State	Published - Dec 1 1995
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995

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AB - In this paper we consider the problem of minimizing the H2 performance of the closed loop subject to a l1 constraint. The development is devoted to multi-input multi-output (MIMO) systems. It is shown that approximating solutions to the optimal within any a priori given tolerance can be obtained via a finite dimensional quadratic optimization problem whose dimension is known a priori.

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MIMO optimal control design: the interplay of the H₂ and the l₁ norms

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