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Asynchronous adaptive output feedback sliding mode control for Takagi-Sugeno fuzzy Markovian jump systems with actuator faults
Authors:Min Li  Ming Liu  Yingchun Zhang  Xueqin Chen
Affiliation:1. School of Astronautics, Harbin Institute of Technology, Harbin, China;2. School of Astronautics, Harbin Institute of Technology, Harbin, China

Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China;3. School of Astronautics, Harbin Institute of Technology, Harbin, China

Shenzhen Aerospace Dongfanghong HIT Satellite Company Ltd, Shenzhen, China

Abstract:In this article, the problem of asynchronous adaptive dynamic output feedback sliding mode control (SMC) for a class of Takagi-Sugeno (T-S) fuzzy Markovian jump systems (MJSs) with actuator faults is investigated. The asynchronous dynamic output feedback control strategy is employed, as the nonsynchronization phenomenon of jump modes exists between the plant and the controller. A novel asynchronous adaptive SMC approach is proposed to solve the synthesis problem for T-S fuzzy MJSs with actuator faults. Sufficient conditions for stochastic asymptotic stability of T-S fuzzy MJSs are given. Under the designed asynchronous adaptive SMC scheme, the effects of actuator faults and external disturbance can be completely compensated and the reachability of sliding surface is ensured. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.
Keywords:asynchronous sliding mode fault tolerant control  dynamic output feedback control  Markovian jump systems  T-S fuzzy systems
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