Design of Optimal Mixed H 2 / H m Static State Feedback Controllers

Despite the recent advances in robust control theory, the robust performance problem formulated in the mixed H2/Hm framework largely remains an open problem. In this approach, one seeks a controller that minimizes the Hz norm of a closed-loop map over all admissible controllers while satisfying an H , constraint on another closed-loop map. Unlike the optimal H Z problem or the y-level sub-optimal H , problem, the mixed H z / H , problem does not have a readily computable solution. In this paper we restrict consideration to static state feedback controllers and propose an efficient iterative algorithm for computing the optimal H2/H, solution.