Mixed H2/H∞ Multi-Channel Linear Parameter-Varying Control in Discrete Time
نویسندگان
چکیده
This paper develops a new method for the synthesis of Linear Parameter-Varying (LPV) controllers in discrete time. LPV plants under consideration have a Linear Fractional Transformation (LFT) representation. In contrast to earlier results which are restricted to singleobjective LPV problems the proposed method can handle a set of H2/H∞ specifications that can be defined channel-wise. This practically attractive extension is derived by using specific transformations of both the Lyapunov and scaling/multiplier variables in tandem with appropriate linearizing transformations of the controller data and of the controller scheduling function. It is shown that the controller gain-scheduling function can be constructed as an affine matrix-valued function in the polytopic coordinates of the scheduled parameter, hence is easily implemented on line. Finally, these manipulations give rise to a tractable and practical LMI formulation of the multi-objective LPV control problem.
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