Dynamic event‐triggered sliding mode security control for Markovian jump systems: Learning‐based iteration optimization method

2021 ◽  
Author(s):  
Bei Chen ◽  
Yuanyuan Zou ◽  
Yugang Niu
Keyword(s):  
Sliding Mode ◽  
Optimization Method ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Dynamic Event ◽  
Security Control ◽  
Systems Learning ◽  
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.

A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems

2020 ◽  
pp. 095965182097525
Author(s):  
Majid Parvizian ◽  
Khosro Khandani
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Suggested Approach ◽  
Stabilizing Controller ◽  
Mode Control ◽  
Jump Systems ◽  
Diffusive Representation

This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.

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