Generalized predictive control—Part I. The basic algorithm
Automatica (Journal of IFAC)
Model predictive control: theory and practice—a survey
Automatica (Journal of IFAC)
Sliding Mode Control in Engineering
Sliding Mode Control in Engineering
ICICTA '08 Proceedings of the 2008 International Conference on Intelligent Computation Technology and Automation - Volume 01
Discrete-time sliding mode control for uncertain systems with state and input delays
International Journal of Systems Science
International Journal of Automation and Computing
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
A new admissibility condition of discrete-time singular systems with time-varying delays
International Journal of Automation and Computing
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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.