Adaptive fault-tolerant sliding mode control for Markovian jump systems via delta operator method. (1st February 2018)

• Record Type: Journal Article
• Authors: Zhao, Dongyang; Liu, Yu; Liu, Ming; Yu, Jinyong
• Is Part Of: IMA journal of mathematical control and information. Volume 36:Number 2(2019)
• Page Start: 659
• Page End: 679
• Publication Date: 2018-02-01
• Subjects: delta operator systems -- Markov jumping parameters -- fault-tolerant control -- sliding mode control; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dny002
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: This paper investigates the adaptive fault-tolerant control problem of a class of Markovian jump systems with high frequency sampling. In this design, matched non-linearity, unknown actuator degradation factor and unmeasurable states are considered in a unified framework. First, an adaptive sliding mode observer approach is developed to obtain the estimates of system state vector. Second, based on the state estimation, an integral-type sliding surface for the overall closed-loop delta operator system is presented, and a sliding mode control law is proposed to guarantee the stochastic stability of the fault closed-loop system. Finally, a simulation example is provided to verify the effectiveness of the designed fault-tolerant control method.