Sliding mode control of discrete-time interval type-2 fuzzy Markov jump systems with the preview target signal

Abstract

This paper studies the problem of output feedback sliding mode control for uncertain discrete-time interval type-2 (IT2) fuzzy Markov jump systems (MJSs) with the preview target signal. An augmented error system (AES) including the known preview target signal is derived based on the backward difference method. A sliding mode output controller is designed for the AES, which integrates the known future information. The designed controller guarantees the discrete-time reach condition and maintains the states in a neighborhood region of the predesigned sliding surface. The stability criteria of the sliding motion on a linear sliding surface are given for the considered systems. Finally, two practical examples show that the output of the original system can track the target signal better under the designed preview controller.