A Novel Approach to Observer-Based Fault Estimation and Fault-Tolerant Controller Design for T-S Fuzzy Systems With Multiple Time Delays

In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi-Sugeno (T-S) fuzzy systems with multiple time-varying delays as well as actuator and sensor faults. Local nonlinear models and external disturbances are also considered. Inspired by the information from...

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Published inIEEE transactions on fuzzy systems Vol. 28; no. 8; pp. 1679 - 1693
Main Authors Zhang, Huaguang, Sun, Shaoxin, Liu, Chong, Zhang, Kun
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Computer simulation
Control systems design
Controllers
Delays
Disturbances
Fault estimation (FE)
Fault tolerance
fault-tolerant control (FTC)
Faults
fuzzy Lyapunov–Krasovskii functional
Fuzzy systems
Iron
Linear matrix inequalities
Mathematical analysis
multiple time-varying delays
Observers
Output feedback
Sensors
Takagi–Sugeno (T–S) fuzzy systems
Time-varying systems
Online AccessGet full text
ISSN1063-6706
1941-0034
DOI10.1109/TFUZZ.2019.2921258

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Abstract In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi-Sugeno (T-S) fuzzy systems with multiple time-varying delays as well as actuator and sensor faults. Local nonlinear models and external disturbances are also considered. Inspired by the information from the <inline-formula><tex-math notation="LaTeX">(k-1)</tex-math></inline-formula>th induction FE, a novel observer is addressed to establish the <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>th error dynamics. The <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>-step induction FE observer can weaken the effect from input disturbances caused by the derivatives of actuator faults and can perform better FE subject to sensor and actuator faults and multiple time delays simultaneously. Compared with the existing results, the proposed observer can realistically better show the sizes and shapes of the actuator and sensor faults. In addition, according to online information from the <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>-step FE, an active dynamic output feedback fault-tolerant controller is proposed to make the closed-loop fuzzy system asymptotically stable. Moreover, the fuzzy Lyapunov-Krasovskii functional is developed by introducing some free-weighting matrices such that the delay dependent sufficient conditions are given in the form of a set of linear matrix inequalities (LMIs) with less conservatism for the existence of observer and fault-tolerant controller. At last, two simulation examples are given to prove the advantages and effectiveness of the approach given in this paper.
AbstractList In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi–Sugeno (T–S) fuzzy systems with multiple time-varying delays as well as actuator and sensor faults. Local nonlinear models and external disturbances are also considered. Inspired by the information from the [Formula Omitted]th induction FE, a novel observer is addressed to establish the [Formula Omitted]th error dynamics. The [Formula Omitted]-step induction FE observer can weaken the effect from input disturbances caused by the derivatives of actuator faults and can perform better FE subject to sensor and actuator faults and multiple time delays simultaneously. Compared with the existing results, the proposed observer can realistically better show the sizes and shapes of the actuator and sensor faults. In addition, according to online information from the [Formula Omitted]-step FE, an active dynamic output feedback fault-tolerant controller is proposed to make the closed-loop fuzzy system asymptotically stable. Moreover, the fuzzy Lyapunov–Krasovskii functional is developed by introducing some free-weighting matrices such that the delay dependent sufficient conditions are given in the form of a set of linear matrix inequalities (LMIs) with less conservatism for the existence of observer and fault-tolerant controller. At last, two simulation examples are given to prove the advantages and effectiveness of the approach given in this paper.
In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi-Sugeno (T-S) fuzzy systems with multiple time-varying delays as well as actuator and sensor faults. Local nonlinear models and external disturbances are also considered. Inspired by the information from the <inline-formula><tex-math notation="LaTeX">(k-1)</tex-math></inline-formula>th induction FE, a novel observer is addressed to establish the <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>th error dynamics. The <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>-step induction FE observer can weaken the effect from input disturbances caused by the derivatives of actuator faults and can perform better FE subject to sensor and actuator faults and multiple time delays simultaneously. Compared with the existing results, the proposed observer can realistically better show the sizes and shapes of the actuator and sensor faults. In addition, according to online information from the <inline-formula><tex-math notation="LaTeX">k</tex-math></inline-formula>-step FE, an active dynamic output feedback fault-tolerant controller is proposed to make the closed-loop fuzzy system asymptotically stable. Moreover, the fuzzy Lyapunov-Krasovskii functional is developed by introducing some free-weighting matrices such that the delay dependent sufficient conditions are given in the form of a set of linear matrix inequalities (LMIs) with less conservatism for the existence of observer and fault-tolerant controller. At last, two simulation examples are given to prove the advantages and effectiveness of the approach given in this paper.
Author Liu, Chong
Zhang, Kun
Zhang, Huaguang
Sun, Shaoxin
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Snippet In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi-Sugeno (T-S) fuzzy systems with multiple time-varying delays...
In this paper, fault estimation (FE) and fault-tolerant control (FTC) are investigated for Takagi–Sugeno (T–S) fuzzy systems with multiple time-varying delays...
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SubjectTerms Actuators
Computer simulation
Control systems design
Controllers
Delays
Disturbances
Fault estimation (FE)
Fault tolerance
fault-tolerant control (FTC)
Faults
fuzzy Lyapunov–Krasovskii functional
Fuzzy systems
Iron
Linear matrix inequalities
Mathematical analysis
multiple time-varying delays
Observers
Output feedback
Sensors
Takagi–Sugeno (T–S) fuzzy systems
Time-varying systems
Title A Novel Approach to Observer-Based Fault Estimation and Fault-Tolerant Controller Design for T-S Fuzzy Systems With Multiple Time Delays
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