On mixed H/sub 2//H/sub /spl infin// control

Abstract

Uses the Nash game approach to solve a mixed H/sub 2//H/sub /spl infin// feedback control problem. The basic idea is: using Nash type index as the H/sub 2/ and H/sub /spl infin// performance functional, the authors then are able to obtain, the necessary and sufficient conditions for the existence of linear memoryless feedback gain. By solving a set of coupled algebraic matrix equations, the authors can get the required feedback-control. Both continuous and discrete time system are considered.