Adaptive sliding mode control design for transition rates uncertain Markov jump systems with actuator failure

Author(s):  
Lu Zhong ◽  
Bo-Chao Zheng ◽  
Tao Li
Author(s):  
Zhiguang Feng ◽  
Jiangrong Li ◽  
Peng Shi ◽  
Haiping Du ◽  
Zhengyi Jiang

2020 ◽  
Vol 42 (8) ◽  
pp. 1448-1460 ◽  
Author(s):  
Majid Parvizian ◽  
Khosro Khandani ◽  
Vahid Johari Majd

In this paper, state estimation and adaptive sliding mode control (SMC) of uncertain fractional-order Markovian jump systems (FO-MJSs) with time delay and input nonlinearity are considered. A non-fragile observer is proposed to estimate the system states, and an observer-based adaptive sliding mode controller is synthesized to ensure the reachability of the sliding surfaces in the state-estimation space in finite time. The sufficient condition for stochastic stability of the error system and sliding mode dynamics is derived in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are presented to illustrate the effectiveness of the proposed method.


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