Nonfragile Fault-Tolerant Fuzzy Observer-Based Controller Design for Nonlinear Systems

The problem of actuator fault estimation and fault-tolerant control for a class of uncertain nonlinear systems using Takagi-Sugeno fuzzy models is investigated. A design procedure for nonfragile proportional-integral (PI) observer is proposed to estimate the states of the nonlinear system and recons...

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Bibliographic Details
Published inIEEE transactions on fuzzy systems Vol. 24; no. 6; pp. 1679 - 1689
Main Authors Xiaohang Li, Fanglai Zhu, Chakrabarty, Ankush, Zak, Stanislaw H.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Control systems design
Controllers
Fault reconstruction
Fault tolerance
Fault tolerant systems
Fuzzy control
Linear matrix inequalities
Linear systems
Mathematical analysis
nonfragile fault-tolerant control (FTC)
Nonlinear systems
Observers
Proportional integral
proportional-integral observer
Takagi–Sugeno (T–S) fuzzy systems
Uncertainty
unmeasured premise variables
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Summary:The problem of actuator fault estimation and fault-tolerant control for a class of uncertain nonlinear systems using Takagi-Sugeno fuzzy models is investigated. A design procedure for nonfragile proportional-integral (PI) observer is proposed to estimate the states of the nonlinear system and reconstruct the abrupt (modeled as step-like faults) and incipient fault signals. Subsequently, a nonfragile fault-tolerant controller is constructed, which is informed by the PI observer. Sufficient conditions of the existence of the PI observer and the fault-tolerant controller are provided in the form of linear matrix inequalities. The proposed fault-tolerant control architecture is tested on two numerical examples.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2016.2540070