Data-driven Second-order Sliding Mode Fault-Tolerant Control for a Class of Discrete-time Nonlinear Systems

Abstract

The current paper presents a data-driven discrete-time integral second-order sliding mode fault-tolerant control (DISSM-FTC) strategy for a category of discrete-time nonlinear systems. The characteristic of the presented control strategy can be easily implemented because it only employs the system's input and output data model through a partial form dynamic linearization (PFDL) approach. At the same time, the fault diagnosis mechanism employs a time-varying threshold with prescribed performance to decide whether a fault occurs or not. Then, the DISSM-FTC method is presented, and a theoretical analysis ensures the stability of the presented strategy. Finally, the efficiency of the presented approach is confirmed through numerical simulations. In contrast to the previous works, the merits of the DISSM-FTC strategy are: 1) the fault-tolerant control problem is solved for the PFDL data model; 2) a novel fault diagnosis mechanism with prescribed performance is proposed; and 3) a data-driven DISSM-FTC method is first proposed.