Data-based adaptive second-order terminal sliding mode predictive control for nonlinear SISO systems with discrete-time dynamics

In this paper, we focus on the formulation of a novel control scheme for nonlinear discrete-time systems without the usage of model information, which integrates the terminal sliding mode control technique with model predictive control strategy. To deal with the disturbances the delay estimate method is employed. Moreover, the second-order sliding function is used to reduce the chattering phenomenon. Based upon the technique of partial form dynamic linearisation (PFDL), the proposed control algorithm is achieved. Moreover, with the aid of predictive control, the performance is further improved. The boundedness with respect to the sliding function and tracking error are proved via rigorous algebraic analysis. Finally, by providing an numerical simulation example and a practical simulation example of steam-water heat exchanger, the effectiveness of the proposed algorithm is validated. Moreover, the control performance is further improved by combining model predictive control with the proposed algorithm.