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An improved game theory based approach to one type of H-infinity optimal control problems

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2 Author(s)
D. Shen ; Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH, USA ; J. B. Cruz

In this paper we convert H-infinity optimal control problems with linear quadratic objective functions to a regular optimal regulator problem by improving a game theory based approach (Basar and Bernhard, 1991), in which the critical lambdainfin* plays a key role. An alternative and optimal-control-related method of theoretically defining lambdacirc is presented. Instead of solving the H-infinity problem, we solve a regular optimal control problem. The relation between the optimal control strategy of the H-infinity problem and that of the related optimal regulator problem is presented and proved. Given some regularity conditions, the stability of the optimal controller is proved via a Hamiltonian system. In addition, a fast approximate procedure is also provided to calculate lambdacirc

Published in:

2006 American Control Conference

Date of Conference:

14-16 June 2006