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2021 | OriginalPaper | Buchkapitel

Fault Estimation and Compensation for Fuzzy Systems with Sensor Faults in Low-Frequency Domain

verfasst von : Yu Chen, Xiaodan Zhu, Jianzhong Gu

Erschienen in: Communications, Signal Processing, and Systems

Verlag: Springer Singapore

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Abstract

A new fault estimation and compensation scheme of fuzzy systems with sensor faults is addressed in low-frequency domain. A descriptor observer is proposed to ensure dynamic error’s stability and \(H_\infty \) performance for low-frequency range. The faults estimation is obtained via the observer above. By considering estimation of faults, a \(H_\infty \) output feedback controller is shown such that controlled model with sensor faults considered has certain fault-tolerant function. A simulation proves this results’ effectiveness.

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Literatur
1.
Zurück zum Zitat Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modeling and control. IEEE Trans Syst Man Cybern SMC-15:116–132 Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modeling and control. IEEE Trans Syst Man Cybern SMC-15:116–132
2.
Zurück zum Zitat Yang H, Shi P, Zhang J, Qiu J (2012) Robust \(H_\infty \) control for a class of discrete time fuzzy systems delta operator approach. Inf Sci 184:230–245MathSciNetCrossRef Yang H, Shi P, Zhang J, Qiu J (2012) Robust \(H_\infty \) control for a class of discrete time fuzzy systems delta operator approach. Inf Sci 184:230–245MathSciNetCrossRef
3.
Zurück zum Zitat He S, Liu F (2011) Filtering-based robust fault detection of fuzzy jump systems. Fuzzy Sets Syst 185:95–110MathSciNetCrossRef He S, Liu F (2011) Filtering-based robust fault detection of fuzzy jump systems. Fuzzy Sets Syst 185:95–110MathSciNetCrossRef
4.
Zurück zum Zitat Zhang J, Shi P, Xia Y (2013) Fuzzy delay compensation control for T-S fuzzy systems over network. IEEE Trans Cybern 43:259–268CrossRef Zhang J, Shi P, Xia Y (2013) Fuzzy delay compensation control for T-S fuzzy systems over network. IEEE Trans Cybern 43:259–268CrossRef
5.
Zurück zum Zitat Liu M, Cao X, Shi P (2013) Fault estimation and tolerant control for fuzzy stochastic systems. IEEE Trans Fuzzy Syst 21:221–229CrossRef Liu M, Cao X, Shi P (2013) Fault estimation and tolerant control for fuzzy stochastic systems. IEEE Trans Fuzzy Syst 21:221–229CrossRef
6.
Zurück zum Zitat Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945CrossRef Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945CrossRef
7.
Zurück zum Zitat Iwasaki T, Hara S (2005) Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Trans Autom Control 50:41–59 Iwasaki T, Hara S (2005) Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Trans Autom Control 50:41–59
8.
Zurück zum Zitat Wang H, Peng L, Ju H, Wang Y (2013) \(H_\infty \) state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain. Inf Sci 223:221–235MathSciNetCrossRef Wang H, Peng L, Ju H, Wang Y (2013) \(H_\infty \) state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain. Inf Sci 223:221–235MathSciNetCrossRef
9.
Zurück zum Zitat Yang H, Xia Y, Liu B (2011) Fault detection for T-S fuzzy discrete systems in finite frequency domain. IEEE Trans Syst Man Cybern-Part B: Cybern 41:911–920CrossRef Yang H, Xia Y, Liu B (2011) Fault detection for T-S fuzzy discrete systems in finite frequency domain. IEEE Trans Syst Man Cybern-Part B: Cybern 41:911–920CrossRef
10.
Zurück zum Zitat Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945CrossRef Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945CrossRef
11.
Zurück zum Zitat Li X, Yang G (2014) Fault detection in finite frequency domain for Takagi-Sugeno fuzzy systems with sensor faults. IEEE Trans Cybern 44:1446–1458CrossRef Li X, Yang G (2014) Fault detection in finite frequency domain for Takagi-Sugeno fuzzy systems with sensor faults. IEEE Trans Cybern 44:1446–1458CrossRef
12.
Zurück zum Zitat Sloth C, Esbensen T, Stoustrup J (2010) Active and passive fault-tolerant LPV control of wind turbines. In: American control conference. IEEE Press, Baltimore, pp 4640–4646 Sloth C, Esbensen T, Stoustrup J (2010) Active and passive fault-tolerant LPV control of wind turbines. In: American control conference. IEEE Press, Baltimore, pp 4640–4646
13.
Zurück zum Zitat Jiang J, Yu X (2012) Fault-tolerant control systems: a comparative study between active and passive approaches. Ann Rev Control 36:60–72CrossRef Jiang J, Yu X (2012) Fault-tolerant control systems: a comparative study between active and passive approaches. Ann Rev Control 36:60–72CrossRef
14.
Zurück zum Zitat Benosman M, Lum K (2010) Passive actuators’ fault-tolerant control for affine nonlinear systems. IEEE Trans Control Syst Technol 18:152–163CrossRef Benosman M, Lum K (2010) Passive actuators’ fault-tolerant control for affine nonlinear systems. IEEE Trans Control Syst Technol 18:152–163CrossRef
15.
Zurück zum Zitat Su L, Zhu X, Qiu J, Zhou C, Zhao Y, Gou Y (2010) Robust passive fault-tolerant control for uncertain non-linear stochastic systems with distributed delays. In: The 29th Chinese control conference (CCC). IEEE Press, New York, pp 1949–1953 Su L, Zhu X, Qiu J, Zhou C, Zhao Y, Gou Y (2010) Robust passive fault-tolerant control for uncertain non-linear stochastic systems with distributed delays. In: The 29th Chinese control conference (CCC). IEEE Press, New York, pp 1949–1953
16.
Zurück zum Zitat Su L, Zhu X, Zhou C, Qiu J (2011) An LMI approach to reliable \(H_\infty \) guaranteed cost control for uncertain non-linear stochastic Markovian jump systems with mode-dependent and distributed delays. ICIC Express Lett 5:249–254 Su L, Zhu X, Zhou C, Qiu J (2011) An LMI approach to reliable \(H_\infty \) guaranteed cost control for uncertain non-linear stochastic Markovian jump systems with mode-dependent and distributed delays. ICIC Express Lett 5:249–254
17.
Zurück zum Zitat Zhu X, Xia Y, Fu M (2020) Fault estimation and active fault-tolerant control for discrete-time systems in finite-frequency domain. ISA Trans 104:184–191CrossRef Zhu X, Xia Y, Fu M (2020) Fault estimation and active fault-tolerant control for discrete-time systems in finite-frequency domain. ISA Trans 104:184–191CrossRef
18.
Zurück zum Zitat Lin Z, Lin Y, Zhang W (2010) \(H_\infty \) stabilisation of non-linear stochastic active fault-tolerant control systems: fuzzy-interpolation approach. IET Control Theory Appl 4:2003–2017 Lin Z, Lin Y, Zhang W (2010) \(H_\infty \) stabilisation of non-linear stochastic active fault-tolerant control systems: fuzzy-interpolation approach. IET Control Theory Appl 4:2003–2017
19.
Zurück zum Zitat Liu M, Shi P (2013) Sensor fault estimation and tolerant control for It\(\hat{o}\) stochastic systems with a descriptor sliding mode approach. Automatica 49:1242–250MathSciNetCrossRef Liu M, Shi P (2013) Sensor fault estimation and tolerant control for It\(\hat{o}\) stochastic systems with a descriptor sliding mode approach. Automatica 49:1242–250MathSciNetCrossRef
20.
Zurück zum Zitat Yang H, Shi P, Li X, Li Z (2014) Fault-tolerant control for a class of T-S fuzzy systems via delta operator approach. Sig Process 98:166–173CrossRef Yang H, Shi P, Li X, Li Z (2014) Fault-tolerant control for a class of T-S fuzzy systems via delta operator approach. Sig Process 98:166–173CrossRef
Metadaten
Titel
Fault Estimation and Compensation for Fuzzy Systems with Sensor Faults in Low-Frequency Domain
verfasst von
Yu Chen
Xiaodan Zhu
Jianzhong Gu
Copyright-Jahr
2021
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-8411-4_106

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