An LMI formulation of fixed-order H∞ and H2 controller design for discrete-time systems with polytopic uncertainty
نویسندگان
چکیده
In this paper, a new approach to fixed-order H∞ and H2 output feedback control of MIMO discrete-time systems with polytopic uncertainty is proposed. The main idea of this approach is based on the definition of SPR-pair matrices and the use of some instrumental matrices which operates as a tool to overcome the original non-convexity of fixed-order controller design. Then, stability condition as well as H∞ and H2 performance constraints are presented by a set of linear matrix inequalities with linearly parameter dependent Lyapunov matrices. Iterative algorithm for update on the instrumental matrices monotonically converges to a suboptimal solution. Simulation results show the effectiveness of the proposed approach.
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