Asynchronous event-triggered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg" display="inline" id="d1e661"><mml:mi mathvariant="script">H</mml:mi></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e666"><mml:msub><mml:mrow/><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> control for 2D Markov jump systems subject to networked random packet losses

Ma, Xiaoqian; Dong, Jingjing; Tai, Weipeng; Zhou, Jianping; Paszke, Wojciech

doi:10.1016/j.cnsns.2023.107453

Cited by 7 publications

(2 citation statements)

References 45 publications

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“…The first part is to prove that the fuzzy augmented system (17) is asymptotically stable. In the second part, the augmented system (17) guarantees the membership function-dependent L ∞ performance index (24).…”

Section: Resultsmentioning

confidence: 99%

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Tracking Control Design for Takagi-Sugeno Fuzzy Systems Based on Membership Function-Dependent L∞ Performance

Yang,

Li,

et al. 2023

IEEE Access

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The design of tracking control based on membership function-dependent L ∞ performance for the systems, which are described by the Takagi-Sugeno fuzzy models, is considered. In practice, most Takagi-Sugeno fuzzy systems have such a characteristic that they work on some local subsystems most of the time and on others less time. Taking advantage of this feature, an L ∞ performance index dependent on membership function is proposed, through which better performance may be guaranteed for those local subsystems that work most of the time. By means of the newly defined L ∞ performance index, the measurable premise variables, the estimation of immeasurable premise variables, and the estimation of nonlinear function, an observer-based tracking controller is designed in the form of linear matrix inequalities, which makes full use of the information of measurable premise variables. Finally, an example is provided to verify the effectiveness of the proposed approach. In the simulation, compared with the traditional L ∞ control method, the novel method has better robust tracking performance.INDEX TERMS L ∞ control, Membership function-dependent, Observer-based tracking controller, Takagi-Sugeno fuzzy system.

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Section: Resultsmentioning

confidence: 99%

“…1) The fuzzy augmented system ( 17) is asymptotically stable when the disturbance τ (t) = 0; 2) The fuzzy augmented system (17) satisfies the membership function-dependent L ∞ performance given below when the disturbance τ (t) ̸ = 0.…”

Section: Problem Formulationmentioning

confidence: 99%

Tracking Control Design for Takagi-Sugeno Fuzzy Systems Based on Membership Function-Dependent L∞ Performance

Yang,

Li,

et al. 2023

IEEE Access

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NonfragileH∞observer-based fuzzy control for nonlinear networked control systems with multipath packet dropouts

Zheng,

Xu,

2024

Communications in Nonlinear Science and Numerical Simulation

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Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems

Wang,

Chen,

2025

Communications in Nonlinear Science and Numerical Simulation

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Asynchronous event-triggered H ∞ control for 2D Markov jump systems subject to networked random packet losses

Cited by 7 publications

References 45 publications

Tracking Control Design for Takagi-Sugeno Fuzzy Systems Based on Membership Function-Dependent L∞ Performance

Tracking Control Design for Takagi-Sugeno Fuzzy Systems Based on Membership Function-Dependent L∞ Performance

NonfragileH∞observer-based fuzzy control for nonlinear networked control systems with multipath packet dropouts

Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems

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