The control of time delay systems is still an open area for research. This paper proposes an enhanced model predictive discrete-time sliding mode control with a new sliding function for a linear system with state delay. Firstly, a new sliding function including a present value and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMIs). Then, using this dynamic function and the rolling optimization method in the predictive control strategy, a discrete predictive sliding mode controller is synthesized. This new strategy is proposed to eliminate the undesirable effect of the delay term in the closed loop system. Also, the designed control strategy is more robust, and has a chattering reduction property and a faster convergence of the system s state. Finally, a numerical example is given to illustrate the effectiveness of the proposed control.
This paper presents a control strategy for perturbed discrete system with time delay, using Sliding Mode Control (SMC) and Model based Predictive Control (MPC). 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, for perturbed discrete system with time delay, is synthesized. The combination of SMC and MPC improves the performance of these two control laws. A robustness analysis proves that the designed control strategy has stronger robustness and chattering reduction property. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.
This paper shows the development of a Predictive Sliding Mode Controller (PSMC). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). The combination of SMC and MPC improves the performance of these two control laws. The designed control strategy has stronger robustness and chattering reduction property to conquer within the system uncertainties. The Predictive Sliding Mode Control strategy was improved by giving a New Predictive Sliding Mode Controller (NPSMC). Finally, the performances of the NPSMC, in terms of strong robustness to external disturbance and parameters variation, chattering elimination, fast convergence were judged, in comparaison with PSMC, SMC and MPC, using a nonminimum phase system.
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