### New Discrete Sliding Mode Controller with Predictive Sliding Function

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#### Abstract

This paper shows the development of a Sliding Mode Controller with Predictive Sliding Function (SMC-PSF). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). In fact, a cascade control strategy is proposed to determine the optimal linear surface parameters of the sliding mode control.

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. Finally, the performances of the (SMC-PSF), in terms of strong robustness to external disturbance and parameters variation, chattering elimination, fast convergence were judged better, in comparison with SMC and MPC, using a non-minimum phase system.

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