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This paper reviews the problem of H∞, output feedback control for polytopic linear parameter-varying systems. It is different from those approaches which some matrices describing the system must be assumed to be constant and/or must satisfy structural constraints. In this paper, all the system matrices are assumed to be in a polytope and be affected by the parameters measured online, and there are no structural constraints. By employing the definition of Quadratic H∞ Performance, sufficient conditions in terms of linear matrix inequalities are presented for the existence of the desired controller for the continuous linear parameter-varying system. The conditions guarantee that the closed-loop system is quadratically stable and with a prescribed H∞ attenuation level. The proposed approach is potentially less conservative than previous ones for the plants without structural constraints. The numerical examples illustrate the effectiveness of the proposed approach.
Date of Conference: 5-8 Aug. 2012