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Linearly Combined Suboptimal Mixed H_2/H_∞ Controllers

Halder, B. and Hassibi, B. and Kailath, T. (1997) Linearly Combined Suboptimal Mixed H_2/H_∞ Controllers. In: Proceedings of the 36th IEEE Conference on Decision and Control, 1997. Vol.1. IEEE , Piscataway, NJ, pp. 434-439. ISBN 0-7803-4187-2.

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In this paper we consider the problem of minimizing the H_2 norm of a closed-loop map over all static state feedback controllers while satisfying an H_∞ constraint on another closed-loop map. We propose a readily computable suboptimal solution to the pure mixed H_2/H_∞ problem by restricting the search to a class of linearly combined controllers. Such mixed linearly combined controllers yield smaller closed-loop H_2 norms than those obtained by using the central solutions of the H_∞ problem. Moreover, the mixed controllers achieve the optimal H2 performance whenever the optimal H_2 controller satisfies the H_∞ bound.

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Additional Information:© 1997 IEEE. This work was supported in part by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001 and by the Joint Service Electronics Program at Stanford under contract DAAH04-94-G-0058-P00003.
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Air Force Office of Scientific Research (AFOSR)F49620-95-1-0525-P00001
Joint Service Electronics ProgramDAAH04-94-G-0058-P00003
Record Number:CaltechAUTHORS:20150218-071918325
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54908
Deposited By: Shirley Slattery
Deposited On:09 Mar 2020 14:56
Last Modified:10 Nov 2021 20:39

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