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Published December 1997 | Published
Book Section - Chapter Open

Linearly Combined Suboptimal Mixed H_2/H_∞ Controllers

Abstract

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.

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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