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Sliding-Mode Predictive Control for a Class of Uncertain Discrete Time-Varying System

Aiming at a class of uncertain discrete time-varying systems, a controller design scheme is proposed based on sliding-mode predictive control (SMPC) technique. By utilizing the feedback correction and receding horizon optimization, the effect of the uncertainty can be compensated in time and the robustness of the matched or unmatched uncertain terms has been improved. Subsequently, the desired control law is derived by using receding horizon optimization. Especially, due to predictive control techniques, the chattering phenomenon of sliding-mode control is eliminated. The numerical simulation verifies that using the proposed controller the controlled system has superior performances, such as strong robustness, fast convergence of the system states and eliminating chattering.