Observer-Based Robust Fuzzy Controller Design for Uncertain Singular Fuzzy Systems Subject to Passivity Criterion

This paper discusses an observer-based control problem for uncertain Takagi–Sugeno Fuzzy Singular Systems (T-SFSS) subject to passivity performance constraints. Through the Parallel Distributed Compensation (PDC) approach and the Proportional Derivative (PD) control scheme, an observer-based fuzzy c...

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Vydáno v:Machines (Basel) Ročník 11; číslo 2; s. 280
Hlavní autoři: Chang, Wen-Jer, Huang, Yu-Min, Ku, Cheung-Chieh, Du, Jialu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.02.2023
Témata:
Algorithms
Computational geometry
Control systems design
Controllers
Convexity
Design techniques
Fuzzy control
Fuzzy sets
Fuzzy systems
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Mathematical optimization
Nonlinear systems
observer-based fuzzy control
Optimization
passivity performance constraint
Proportional derivative
proportional derivative control
Robust control
Singular value decomposition
Takagi–Sugeno fuzzy systems
ISSN:2075-1702, 2075-1702
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Shrnutí:This paper discusses an observer-based control problem for uncertain Takagi–Sugeno Fuzzy Singular Systems (T-SFSS) subject to passivity performance constraints. Through the Parallel Distributed Compensation (PDC) approach and the Proportional Derivative (PD) control scheme, an observer-based fuzzy controller is constructed to achieve the stability of the considered system. An unlimited positive definite matrix is utilized to construct the Lyapunov function and derive sufficient stability conditions to develop a relaxed design method. Moreover, some technologies, such as the Schur complement, projection lemma, and Singular Value Decomposition (SVD), are applied to convert the conditions to Linear Matrix Inequality (LMI) form. Therefore, the convex optimization algorithm is used to solve the LMI conditions to find feasible solutions. The observer-based fuzzy controller is established with the obtained solutions to guarantee stability and passivity performance for the uncertain nonlinear singular systems. Finally, two examples are provided to verify the availability of the proposed fuzzy control approach.
Bibliografie:ObjectType-Article-1
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ISSN:2075-1702
2075-1702
DOI:10.3390/machines11020280