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

• Published in: International journal of fuzzy systems Vol. 25; no. 4; pp. 1327 - 1337
• Main Authors: Gassara, Hamdi, Boukattaya, Mohamed, El Hajjaji, Ahmed
• Format: Journal Article
• Language: English
• 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
• ISSN: 1562-2479; 2199-3211
• DOI: 10.1007/s40815-023-01458-5

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.