Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

2018 ◽  
Vol 32 (3) ◽  
pp. 464-479 ◽  
Author(s):  
Mourad Kchaou ◽  
Hamdi Gassara ◽  
Ahmed El-Hajjaji
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Singular Systems ◽  
Adaptive Sliding Mode Control ◽  
Input Nonlinearity ◽  
Adaptive Sliding Mode ◽  
Mode Control

A non-fragile observer-based adaptive sliding mode control for fractional-order Markovian jump systems with time delay and input nonlinearity

2020 ◽  
Vol 42 (8) ◽  
pp. 1448-1460 ◽  
Author(s):  
Majid Parvizian ◽  
Khosro Khandani ◽  
Vahid Johari Majd
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
State Estimation ◽  
Fractional Order ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Markovian Jump ◽  
Input Nonlinearity ◽  
Adaptive Sliding Mode ◽  
Jump Systems

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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