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Neural Computing and Applications

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26.08.2021 | Original Article

Fault-tolerant control for uncertain switched random systems with multiple interval time-varying delays and intermittent faults

verfasst von: Shaoxin Sun, Xin Dai, Ruipeng Xi, Juan Zhang

Erschienen in: Neural Computing and Applications | Ausgabe 24/2021

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Abstract

This paper focuses on the passive fault-tolerant control for an uncertain switched nonlinear random system with multiple interval time-varying delays and intermittent faults in sensors and actuators. There are also nonlinear functions, exogenous disturbances and measurement noise in the system. There are few tries to realize noise-to-state exponentially mean-square stability for switched random nonlinear systems subject to multiple interval time-varying delays allowing various time delay cases. Random differential equations are more common than stochastic differential equations in practice. Thus, the suggested method is more practicable. First, a nonlinear dynamic output feedback fault-tolerant controller is constructed. Next, an augmented closed-loop system can be obtained in the framework of multiple interval time-varying delays. Then piecewise Lyapunov function is utilized to realize stability analysis for the closed-loop system. At last, this feasibility of this approach presented in this study is verified through two examples.

Vorheriger Artikel Deep embedded self-organizing maps for joint representation learning and topology-preserving clustering

Nächster Artikel New results on finite-time stability of fractional-order neural networks with time-varying delay

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Sun Q, Zhang Y, He H, Ma D, Zhang H (2017) A novel energy function-based stability evaluation and nonlinear control approach for energy internet. IEEE Trans Smart Grid 8(3):1195–1210CrossRef

Wang R, Sun Q, Ma D, Liu Z (2019) The small-signal stability analysis of the droop-controlled converter in electromagnetic timescale. IEEE Trans Sustain Energy 10(3):1459–1469CrossRef

Xu S, Tao S, Zheng W, Chai Y, Ma M, Ding L (2021) Multiple open circuit fault diagnosis for back-to-back converter of PMSG wind generation system based on instantaneous amplitude estimation. IEEE Trans Instrum Meas. https://doi.org/10.1109/TIM.2021.3062683

Li T, Yang D, Xie X, Zhang H (2020) Event-triggered control of nonlinear discrete-time system with unknown dynamics based on HDP(\(\lambda\)). IEEE Trans Cybern. https://doi.org/10.1109/TCYB.2020.3044595

Ma TD, Li K, Zhang ZL, Cui B (2021) Impulsive consensus of one-sided Lipschitz nonlinear multi-agent systems with semi-Markov switching topologies. Nonlinear Anal Hybrid Syst 40:101020MathSciNetCrossRef

Xu S, Tao S, Chai Y, Huang D, Cheng T (2021) Incipient fault diagnosis and estimation for current senors of PV system based on instantaneous amplitude. Control Decis. https://doi.org/10.13195/j.kzyjc.2020.1261

Han J, Zhang H, Wang Y, Liu X (2017) Anti-disturbance control for nonlinear system via adaptive disturbance observer. Int J Robust Nonlinear Control 27:2121–2144MathSciNetCrossRef

Zhai D, An L, Dong J, Zhang Q (2018) Switched adaptive fuzzy tracking control for a class of switched nonlinear systems under arbitrary switching. IEEE Trans Fuzzy Syst 26(2):585–597CrossRef

Tong S, Zhang L, Li Y (2016) Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear large-scale systems with dead zones. IEEE Trans Syst Man Cybern Syst 46(1):37–47CrossRef

10.

Wang Z, Chen G, Ba H (2019) Stability analysis of nonlinear switched systems with sampled-data controllers. Appl Math Comput 33(15):297–309MathSciNetMATH

11.

Hashimoto T, Amemiya T (2011) Controllability and observability of linear time-invariant uncertain systems irrespective of bounds of uncertain parameters. IEEE Trans Autom Control 56(8):1807–1817MathSciNetCrossRef

12.

Janardhanan S, Bandyopadhyay B (2006) Output feedback sliding-mode control for uncertain systems using fast output sampling technique. IEEE Trans Ind Electron 53(5):1807–1817CrossRef

13.

Chesi G (2015) Instability analysis of uncertain systems via determinants and LMIs. IEEE Trans Autom Control 60(9):2458–2463MathSciNetCrossRef

14.

Zhang X, Lu X (2019) On stability analysis of nonlinear time-delay systems on time scales. Syst Control Lett 131:1–7MathSciNetCrossRef

15.

Li X, Yang X, Song S (2019) Lyapunov conditions for finite-time stability of time-varying time-delay systems. Automatica 103:135–140MathSciNetCrossRef

16.

Liu K, Selivanov A, Fridman E (2019) Survey on time-delay approach to networked control. Annu Rev Control. https://doi.org/10.1016/j.arcontrol.2019.06.005

17.

Zhang X, Han Q (2006) Delay-dependent robust \(H_\infty\) filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality. IEEE Trans Circuits-II 53(12):1466–1470

18.

Gao H, Liu X, Lam J (2009) Stability analysis and stabilization for discrete-time fuzzy systems with time-varying delay. IEEE Trans Cybern 39(2):306–317CrossRef

19.

Chen M, Feng G (2008) Delay-dependent \(H_\infty\) filtering of piecewise-linear systems with time-varying delays. IEEE Trans Circuits-I 55(7):306–317MathSciNet

20.

Huang S, Yang G (2014) Fault tolerant controller design for T–S fuzzy systems with time-varying delay and actuator faults: a k-step fault-estimation approach. IEEE Trans Fuzzy Syst 22(6):1526–1540CrossRef

21.

Jiang X, Han Q (2007) Robust \(H_\infty\) control for uncertain Takagi–Sugeno fuzzy systems with interval time-varying delay. IEEE Trans Fuzzy Syst 15(2):321–331MathSciNetCrossRef

22.

Jiao T, Xu S, Li Y, Li Z (2015) Adaptive stabilisation of random systems with arbitrary switchings. IET Control Theory Appl. 9(18):2634–2640MathSciNetCrossRef

23.

Han J, Zhang HG, Wang YC, Zhang K (2018) Fault estimation and fault-tolerant control for switched fuzzy stochastic systems. IEEE Trans Fuzzy Syst 26(5):2993–3003CrossRef

24.

Liu M, Cao X, Shi P (2013) Fault estimation and tolerant control for fuzzy stochastic systems. IEEE Trans Fuzzy Syst 21(2):221–229CrossRef

25.

Liu X, Zhang W, Li Y (2019) \(H\_\) index for continuous-time stochastic systems with Markov jump and multiplicative noise. Automatica 105:167–178MathSciNetCrossRef

26.

Yao L, Feng L, Wu Z (2017) Adaptive tracking control for random nonlinear system. Int J Robust Nonlinear Control 27(17):3833–3840MathSciNetMATH

27.

Wu Z (2019) Stability criteria of random nonlinear systems and their applications. IEEE Trans Autom Control 60(4):1038–1049MathSciNetCrossRef

28.

Gao Z, Lin J, Cao T (2015) Robust fault tolerant tracking control design for a linearized hypersonic vehicle with sensor fault. Int J Control Autom 13(3):672–679CrossRef

29.

Sun S, Zhang H, Zhang J, Zhang K (2020) Fault estimation and tolerant control for discrete-time multiple delayed fuzzy stochastic systems with intermittent sensor and actuator faults. IEEE Trans Cybern. https://doi.org/10.1109/TCYB.2020.2965140

30.

Perk S, Shao QM, Teymour F, Cinar A (2011) An adaptive fault-tolerant control framework with agent-based systems. Int J Robust Nonlinear Control 22(1):43–67MathSciNetCrossRef

31.

Zhang K, Jiang B, Staroswiecki M (2010) Dynamic output feedback fault tolerant controller design for Takagi–Sugeno fuzzy systems with actuator faults. IEEE Trans Fuzzy Syst 18(1):194–201CrossRef

32.

Sun S, Zhang H, Liu C, Liu Y (2020) Dissipativity-based intermittent fault detection and tolerant control for multiple delayed uncertain switched fuzzy stochastic systems with unmeasurable premise variables. IEEE Trans Cybern. https://doi.org/10.1109/TCYB.2020.3041125

33.

Xiao C, Yu M, Zhang B, Wang H, Jiang C (2020) Discrete component prognosis for hybrid systems under intermittent faults. IEEE Trans Autom Sci Eng. https://doi.org/10.1109/TASE.2020.3017755CrossRef

34.

Yu M, Xiao C, Zhang B (2020) Event-triggered discrete component prognosis of hybrid systems using degradation model selection. IEEE Trans Ind Electron. https://doi.org/10.1109/TIE.2020.3031515

35.

Zhang HG, Han J, Luo CM, Wang YC (2017) Fault-tolerant control of a nonlinear system based on generalized fuzzy hyperbolic model and adaptive disturbance observer. IEEE Trans Fuzzy Syst 47(8):2289–2300

36.

Tao Y, Shen D, Wang Y, Ye Y (2015) Reliable \(H_\infty\) control for uncertain nonlinear discrete-time systems subject to multiple intermittent faults in sensors and/or actuators. J Franklin Inst 352:4721–4740MathSciNetCrossRef

37.

Zhang H, Han J, Wang Y, Liu X (2018) Sensor fault estimation of switched fuzzy systems with unknown input. IEEE Trans Fuzzy Syst 26(3):1114–1124

38.

Khalil HK (2002) Nonlinear systems, 3rd edn. Prentice-Hall, Englewood Cliffs, NJ, USAMATH

39.

Jiao T, Xu S, Li Y, Li Z (2015) Adaptive stabilisation of random systems with arbitrary switchings. IET Control Theory Appl 9(18):2634–2640MathSciNetCrossRef

40.

Boyd S, Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia, PACrossRef

41.

Sun S, Zhang H, Zhang J, Yu L, Sun J (2020) Multiple delay-dependent robust \(H_\infty\) finite-time filtering for uncertain Itô stochastic Takagi–Sugeno fuzzy semi-Markovian jump systems with state constraintss. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2020.3037959CrossRef

42.

Wang Y, Zhang H, Wang X, Yang D (2010) Networked synchronization control of coupled dynamic networks with time-varying delay. IEEE Trans Cybern 40(6):1468–1479CrossRef

43.

Du D, Jiang B, Shi P (2014) Sensor fault estimation and accommodation for discrete-time switched linear systems. IET Control Theory Appl 8(11):960–967MathSciNetCrossRef

44.

Han J, Liu X, Wei X, Zhang H, Hu X (2019) Dissipativity-based fault estimation for switched non-linear systems with process and sensor faults. IET Control Theory Appl 13(18):2983–2993CrossRef

45.

Huang SJ, He XQ, Zhang NN (2011) New results on \(H_\infty\) filter design for nonlinear systems with time delay via T–S fuzzy models. IEEE Trans Fuzzy Syst 19(1):193–199CrossRef

46.

Jin Y, Zhang Y, Jing Y, Fu J (2018) An average dwell-time method for fault-tolerant control of switched time-delay systems and its application. IEEE Trans Ind Electron 66(4):3139–3147CrossRef

47.

Yuan S, Schutter BD, Baldi S (2017) Adaptive asymptotic tracking control of uncertain time-driven switched linear systems. IEEE Trans Autom Control 62(11):5802–5807MathSciNetCrossRef

48.

Tang L, Zhao J (2019) Switched threshold-based fault detection for switched nonlinear systems with its application to Chua’s Circuit system. IEEE Trans Circuits Syst I Reg Papers 66(2):733–741CrossRef

49.

Zhang L, Cui N, Liu M, Zhao Y (2011) Asynchronous filtering of discrete-time switched linear systems with average dwell time. IEEE Trans Circuits Syst I, Reg Papers 58(5):1109–1118MathSciNetCrossRef

50.

Tan SC, Bronstein S, Nur M, Lai YM, Ioinovici A, Tse CK (2009) Variable structure modeling and design of switched-capacitor converters. IEEE Trans Circuits Syst I, Reg Papers 56(9):2132–2142MathSciNetCrossRef

Titel: Fault-tolerant control for uncertain switched random systems with multiple interval time-varying delays and intermittent faults
verfasst von: Shaoxin Sun
Xin Dai
Ruipeng Xi
Juan Zhang
Publikationsdatum: 26.08.2021
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 24/2021
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-021-06338-3

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