Adaptive sliding mode observer design for smei-Markovian jump systems through dynamic event-triggered mechanism

2021 ◽  
Author(s):  
Baoping Jiang ◽  
Zhengtian Wu ◽  
Cunchen Gao
Keyword(s):  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Observer Design ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Adaptive Sliding Mode ◽  
Dynamic Event ◽  
Jump Systems ◽  
Event Triggered

scholarly journals Time-Delay Luenberger Observer Design for Sliding Mode Control of Nonlinear Markovian Jump Systems via Event-Triggered Mechanism

Machines ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 259
Author(s):  
Min Cheng ◽  
Chunyang Zhang ◽  
Jin Qiu ◽  
Zhengtian Wu ◽  
Qing Gao
Keyword(s):  
Sliding Mode ◽  
Fuzzy Model ◽  
Observer Design ◽  
Markovian Jump Systems ◽  
Sliding Surface ◽  
Markovian Jump ◽  
Luenberger Observer ◽  
Jump Systems ◽  
Sliding Mode Dynamics ◽  
Event Triggered

This paper is focused on the stabilization of Takagi–Sugeno fuzzy model-based Markovian jump systems with the aid of a delayed state observer. Due to network-induced constraints in the communication channel, a delay partition method combined with an event-triggered mechanism is proposed to design the observer. Then, a novel integral sliding surface is designed, based on which sliding mode dynamics is obtained. Further, according to stochastic stability theory, feasible conditions are provided to ensure the sliding mode dynamics and the error dynamics have an H∞ attenuate level γ. The challenge is to deal with the issue that transition rates may be totally unknown. Moreover, an observer-based sliding mode controller is constructed to ensure the finite-time reachability of the predefined sliding surface. Finally, a numerical example based on a robotic manipulator is given to verify the effectiveness of the proposed method.

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