This paper deals with the fault observer and fault-tolerant controller design for singular Takagi–Sugeno (T–S) fuzzy systems subject to actuator faults. First, a novel proportional-integral observer is constructed to estimate the system states and faults. Sufficient conditions for the existence of the proposed observer are given in linear matrix inequality (LMI) terms. Furthermore, based on the state and fault estimation (FE), a fault-tolerant controller (FTC) is designed to effectively accommodate the influence of fault upon state and ensure that the closed-loop system is stable. Finally, a numerical example is given to show the effectiveness of the presented method.
Fault Estimation and Fault-Tolerant Control Via a Novel Proportional–Integral Observer in Singular Takagi-Sugeno Fuzzy Systems
Harbin Institute of Technology,
Harbin 150001, China;
HIT Satellite Company, Ltd.,
Shenzhen 518057, China
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received August 8, 2017; final manuscript received December 1, 2018; published online May 2, 2019. Assoc. Editor: Zongxuan Sun.
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Li, M., Liu, M., Zhang, Y., and Chen, Z. (May 2, 2019). "Fault Estimation and Fault-Tolerant Control Via a Novel Proportional–Integral Observer in Singular Takagi-Sugeno Fuzzy Systems." ASME. J. Dyn. Sys., Meas., Control. September 2019; 141(9): 091005. https://doi.org/10.1115/1.4042243
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