Mixed H2 and Hinf Performance Objectives II: Optimal Control

John Doyle, Khemin Zhou, Keith Glover, and Bobby Bodenheimer

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 H2 and Hinf norm of the system. It is shown that the controller shares a separation property similar to those of pure H2 or Hinf 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

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Last modified: Fri Jun 27 09:50:06 CDT 2003