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The robust stabilization problem for a class of uncertain discrete-time switched systems is presented. A predictive sliding mode control strategy is proposed,and a discrete-time reaching law is improved.By applying a predictive sliding surface and a reference trajectory,combining with the state feedback correction and rolling optimization method in the predictive control strategy,a predictive sliding mode controller is synthesized,which guarantees the asymptotic stability for the closed-loop systems.The designed control strategy has stronger robustness and chattering reduction property to conquer with the system uncertainties.In addition,a unique nonswitched sliding surface is designed.The reason is to avoid the repetitive jump of the trajectories of the state components of the closed-loop system between sliding surfaces because it might cause the possible instability.Finally,a numerical example is given to illustrate the effectiveness of the proposed theory.
The robust stabilization problem for a class of uncertain discrete-time switched systems is presented. A predictive sliding mode control strategy is proposed, and a discrete-time reaching law is improved. By applying a predictive sliding surface and a reference trajectory, combining with the state feedback correction and rolling optimization method in the predictive control strategy, a predictive sliding mode controller is synthesized, which holds the asymptotic stability for the closed-loop systems. The designed control strategy has stronger robustness and chattering reduction property to conquer with the system uncertaintyties .In addition, a unique nonswitched sliding surface is designed. Reason is to avoid the repetitive jump of the trajectories of the state components of the closed-loop system between sliding surfaces because it might cause the possible instability. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.