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Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Jianing Cao and Hua Chen (chenhua@upc.edu.cn)
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Jianing Cao: College of Science, China University of Petroleum (East China), Qingdao 266580, China
Hua Chen: College of Science, China University of Petroleum (East China), Qingdao 266580, China

Mathematics, 2023, vol. 11, issue 11, 1-13

Abstract: In this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devised to build an equal system free of TVD. Additionally, the sensor fault is changed to actuator fault by the developed coordinate transformation. A fuzzy learning fault estimator is first built to estimate the detailed sensor fault information. Then, a PI FTC scheme is suggested aiming at minimizing the damage caused by the fault. Simulation results from multiple faults reveal that the FE and FTC algorithms are able to estimate the fault and guarantee the system performance properly.

Keywords: T-S fuzzy model; time-varying delay; singular systems; sensor fault; FE; FTC (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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