Fixed-Structure H_2 Controller Design: An LMI Solution

Abstract In this paper sufficient conditions for fixed-structure H 2 controller design in terms of solutions to a set of linear matrix inequalities are given. The iterative synthesis procedure converges to a suboptimal solution and must be initialized either with a Schur stable polynomial or with a stabilizing controller. The monotonic decreasing of the norm bound is established theoretically as well as demonstrated numerically with an example.

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