A novel event-triggered asynchronous H∞ control for T-S fuzzy Markov jump systems under hidden Markov switching topologies

Xie, Wenqian; Nguang, Sing Kiong; Zhu, Hong; Zhang, Yuping; Shi, Kaibo

doi:10.1016/j.fss.2021.09.014

Cited by 17 publications

(6 citation statements)

References 31 publications

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“…Remark 5: A MFs-dependent LKF with two delay-producttype (DPT) terms is designed in this paper. Unlike the LKF proposed in [22], [24], [25], this LKF has a more general form, and the information of modes, MFs, and time-varying delays are included simultaneously, which is more in line with the model of FMJSs. Besides, the introduction of DPT terms will relax the constraints in some locations and include more timevarying delay information.…”

Section: Resultsmentioning

confidence: 99%

“…Remark 1: Ω p depends on the system mode, so that the event-triggering condition (4) can be switched accordingly for each Markov jump subsystem, increasing the degree of freedom of feasible solutions. Moreover, unlike the constant threshold employed in [20]- [22], the threshold δ(t) is dynamically adjusted. When δ = 1 δ(0) (i.e.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

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Double Asynchronous Switching Control for Takagi–Sugeno Fuzzy Markov Jump Systems via Adaptive Event-Triggered Mechanism

Zhao,

Wang,

Xie

et al. 2024

IEEE Trans. Syst. Man Cybern, Syst.

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Section: Resultsmentioning

confidence: 99%

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Double Asynchronous Switching Control for Takagi–Sugeno Fuzzy Markov Jump Systems via Adaptive Event-Triggered Mechanism

Zhao,

Wang,

Xie

et al. 2024

IEEE Trans. Syst. Man Cybern, Syst.

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“…Since Lyapunov matrices (P i , Q, Z) of LMIs (24) are independent of the system matrices, the suggested results are conservative. Therefore, the next Theorem will be proposed to reduce the conservatism of the robust stability analysis of the MJS.…”

Section: Resultsmentioning

confidence: 99%

“…The event-triggered scheme was studied in the Ref. [24], and a H ∞ -based controller was designed for fuzzy MJSs. The time-varying delay problem was addressed in the Ref.…”

Section: Literature Reviewmentioning

confidence: 99%

Automatic Control for Time Delay Markov Jump Systems under Polytopic Uncertainties

et al. 2022

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The Markov jump systems (MJSs) are a special case of parametric switching system. However, we know that time delay inevitably exists in many practical systems, and is known as the main source of efficiency reduction, and even instability. In this paper, the stochastic stable control design is discussed for time delay MJSs. In this regard, first, the problem of modeling of MJSs and their stability analysis using Lyapunov-Krasovsky functions is studied. Then, a state-feedback controller (SFC) is designed and its stability is proved on the basis of the Lyapunov theorem and linear matrix inequalities (LMIs), in the presence of polytopic uncertainties and time delays. Finally, by various simulations, the accuracy and efficiency of the proposed methods for robust stabilization of MJSs are demonstrated.

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“…In recent decades, remarkable research attention has been given to the stability and stabilization for T-S fuzzy systems [1][2][3][4][5][6]. In [7,8], the authors looked into the H ∞ filtering problem for nonlinear switched systems with time-varying delay by incorporating T-S fuzzy model characteristics. The research findings in the design of fault-tolerant controller for fuzzy systems with actuator fault were presented in [3,9].…”

Section: Introductionmentioning

confidence: 99%

Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach

et al. 2023

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This work focuses on the design of a unified control law, which enhances the accuracy of both the disturbance estimation and stabilization of nonlinear T-S fuzzy semi-Markovian jump systems. In detail, a proportional-integral observer based equivalent-input-disturbance (PIO-EID) approach is considered to model and develop the controller. The PIO approach includes a variable for relaxation in the system design along with an additional term for integration to improve the flexibility of the design and endurance of the system. The proposed stability criteria are formulated in the form of matrix inequalities using Lyapunov theory and depend on the sojourn time for robust control design. Final analyses are performed using MATLAB software with simulations to endorse the theoretical findings of this paper.

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A novel event-triggered asynchronous H∞ control for T-S fuzzy Markov jump systems under hidden Markov switching topologies

Cited by 17 publications

References 31 publications

Double Asynchronous Switching Control for Takagi–Sugeno Fuzzy Markov Jump Systems via Adaptive Event-Triggered Mechanism

Double Asynchronous Switching Control for Takagi–Sugeno Fuzzy Markov Jump Systems via Adaptive Event-Triggered Mechanism

Automatic Control for Time Delay Markov Jump Systems under Polytopic Uncertainties

Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach

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