Higher-order terminal sliding mode controller for fault accommodation of Lipschitz second-order nonlinear systems using fuzzy neural network

Abstract

In this paper, a higher-order terminal sliding mode control is proposed for fault accommodation of a class of Lipschitz second-order nonlinear systems. This approach is designed based on a combining between a novel third-order fast terminal sliding mode surface (TOFTSMS), which is designed to preserve the merits of the PID sliding surface and the fast terminal sliding mode (FTSM) surface, and a continuous control law based on higher-order sliding mode (HOSM) control strategy. However, the proposed TOFTSMC requires an exact dynamics model of the system and the prior knowledge of the bounded value of the uncertainties and faults in the design. In order to exclude the requirements, an adaptive fuzzy neural network is integrated; yielding a novel adaptive fuzzy neural TOFTSMC (AFN-TOFTSMC). The proposed analytical results are then applied to the attitude control of a spacecraft. Simulation results clearly demonstrate the great performance of the proposed algorithm compared to other state-of-the-art methods.