Polynomial Adaptive Observer-Based Fault Tolerant Control for Time Delay Polynomial Fuzzy Systems Subject to Actuator Faults

The delay-dependent state, Fault Estimation (FE) and Fault Tolerant Control problems for polynomial fuzzy systems with time delay are investigated in this paper. Firstly, a polynomial adaptive fuzzy observer is used to estimate system states and actuator faults. A polynomial Lyapunov–Krasovskii func...

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Bibliographic Details
Published inInternational journal of fuzzy systems Vol. 25; no. 4; pp. 1327 - 1337
Main Authors Gassara, Hamdi, Boukattaya, Mohamed, El Hajjaji, Ahmed
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Springer Nature B.V
Taiwan Fuzzy Systems Association
Subjects
Actuators
Artificial Intelligence
Closed loop systems
Computational Intelligence
Control systems design
Engineering
Engineering Sciences
Euclidean space
Fault tolerance
Faults
Fuzzy control
Fuzzy sets
Fuzzy systems
Management Science
Operations Research
Optimization techniques
Polynomials
Time lag
SOSTOOLS
Fault estimation
Polynomial fuzzy observer
Polynomial systems
Fault tolerant control
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ISSN1562-2479
2199-3211
DOI10.1007/s40815-023-01458-5

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Summary:The delay-dependent state, Fault Estimation (FE) and Fault Tolerant Control problems for polynomial fuzzy systems with time delay are investigated in this paper. Firstly, a polynomial adaptive fuzzy observer is used to estimate system states and actuator faults. A polynomial Lyapunov–Krasovskii functional including double integral term is introduced in order to obtain delay-dependent sufficient conditions in terms of Sum Of Squares (SOS) which can be solved via SOSTOOLS and a Semi-Definite Program solver. Then, by exploiting the FE information, a polynomial fuzzy fault tolerant controller is designed to guarantee the stability of the system and to compensate the impact of actuator faults. Finally, several examples are given to illustrate the use of the present delay-dependent result.
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ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-023-01458-5