Receding horizon guaranteed cost control for norm-bounded uncertain systems with actuator saturation

This paper investigates the receding horizon H∞ guaranteed cost control for a class of norm-bounded uncertain systems subject to actuator saturation. A sufficient condition for the existence of the controller is proposed to handle the amplitudes of control input signals and guarantee both of the H∞ norm and quadratic cost performance for all admissible uncertainties and external disturbances. Furthermore, the optimal receding horizon controller can be obtained by on-line solving a convex optimization problem with linear matrix inequalities (LMIs) constraints. The effectiveness of the proposed controller is demonstrated with a numerical example.

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