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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Bibliographic Details
Published in:Computational & applied mathematics 2020-09, Vol.39 (3), Article 201
Main Authors: Zhang, Jun, Liu, Deyou, Ma, Yuechao
Format: Article
Language:English
Subjects:
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
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Summary: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.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-01183-x