Mixed H_2 and H∞ performance objectives. II. Optimal control

Abstract

This paper considers the analysis and synthesis of control systems subject to two types of disturbance signals: white signals and signals with bounded power. The resulting control problem involves minimizing a mixed H_2 and H∞ norm of the system. It is shown that the controller shares a separation property similar to those of pure H_2 or H∞ controllers. Necessary conditions and sufficient conditions are obtained for the existence of a solution to the mixed problem. Explicit state-space formulas are also given for the optimal controller.

Additional Information

© 1994 IEEE. Manuscript received July 3, 1992; revised April 27, 1993. IEEE Log Number 9402136. The authors would like to thank the reviewers for their detailed and helpful comments.

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