Finite-time dissipative control of uncertain singular T–S fuzzy time-varying delay systems subject to actuator saturation

This paper investigates the dissipative-based finite-time control for uncertain singular T–S fuzzy time-varying delay system affected by actuator saturation. First, the concept of dissipative stability and finite-time bound is presented. Then an appropriate Lyapunov–Krasovskii functional (LKF) is es...

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Veröffentlicht in:Computational & applied mathematics Jg. 39; H. 3
Hauptverfasser: Zhang, Jun, Liu, Deyou, Ma, Yuechao
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.09.2020
Springer Nature B.V
Schlagworte:
Actuators
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Convexity
Fuzzy systems
Linear matrix inequalities
Mathematical analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Saturation
T–S fuzzy system
Dissipative control
Optimization problem
Actuator saturation
Finite time
ISSN:2238-3603, 1807-0302
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Zusammenfassung:This paper investigates the dissipative-based finite-time control for uncertain singular T–S fuzzy time-varying delay system affected by actuator saturation. First, the concept of dissipative stability and finite-time bound is presented. Then an appropriate Lyapunov–Krasovskii functional (LKF) is established and for the sake of reducing the conservatism of the results, some free matrices are introduced. Using the convexity property of the matrix inequality, some conditions are given to ensure the fuzzy system is finite-time bounded and dissipative. Moreover, by solving a series of linear matrix inequalities (LMIs), the controllers with the dissipative disturbance weakened level are derived. Finally, simulation examples are presented to show the feasibility and superiority of this method.
Bibliographie:ObjectType-Article-1
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ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-01183-x