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Multiple delay-dependent noise-to-state stability for a class of uncertain switched random nonlinear systems with intermittent sensor and actuator faults

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Abstract

This paper focuses on multiple delay-dependent noise-to-state stability (NSS) for a class of switched random nonlinear systems against uncertainty terms and intermittent sensor and actuator faults. External disturbances, nonlinear functions, as well as measurement noise, are also taken into account. This is the first attempt to achieve dynamic output feedback controller design for uncertain switched random nonlinear systems subject to intermittent sensor and actuator faults. First, a controller is established to perform passive fault-tolerant control (FTC). Random systems are more common than Itô stochastic systems. Thus, compared with the previous works, the proposed controller has a wider application scope and is more feasible. Next, an augmented closed-loop system is exhibited to realize NSS. Moreover, a piecewise Lyapunov function is utilized with less conservatism than common Lyapunov function. The delay dependent stability conditions are gathered via linear matrix inequalities (LMIs) and controller matrices are earned. At last, the novelty and validity of the approach suggested in this paper are demonstrated through two simulation examples.

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References

  1. Liu L, Yin S, Zhang L, Yin X, Yan H (2017) Improved results on asymptotic stabilization for stochastic nonlinear time-delay systems with application to a chemical reactor system. IEEE Trans Syst Man Cybern: Syst 47(1):195–204

    Google Scholar 

  2. Meng W, Yang Q, Sun Y (2015) Adaptive neural control of nonlinear MIMO systems with time-varying output constraints. IEEE Trans Neural Netw Learn Syst 26(5):1074–1085

    MathSciNet  Google Scholar 

  3. Chesi G, Hung Y S (2008) Analysis and synthesis of nonlinear systems with uncertain initial conditions. IEEE Trans Autom Control 53(5):1262–1267

    MathSciNet  MATH  Google Scholar 

  4. Wang W, Nesic D (2010) Input-to-state stability and averaging of linear fast switching systems. IEEE Trans Autom Control 55(5):1274–1279

    MathSciNet  MATH  Google Scholar 

  5. Quevedo D E, Nesic D (2011) Input-to-state stability of packetized predictive control over unreliable networks affected by packet-dropouts. IEEE Trans Autom Control 56(2):370–375

    MathSciNet  MATH  Google Scholar 

  6. Yang Z, Zhou W, Huang T (2019) Input-to-state stability of delayed reaction-diffusion neural networks with impulsive effects. Neurocomputing 333(14):261–272

    Google Scholar 

  7. Ito H (2019) A complete characterization of integral input-to-state stability and its small-gain theorem for stochastic systems. IEEE Trans Autom Control. https://doi.org/10.1109/TAC.2019.2946203

  8. Zhu Q Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans Autom Control. https://doi.org/10.1109/TAC.2018.2882067

  9. Deng H, Krstić M, Williams R J (2001) Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Trans Autom Control 46(8):1237–1253

    MathSciNet  MATH  Google Scholar 

  10. Zhang D, Wu Z, Sun X, Wang W (2016) Noise-to-state stability for a class of random systems with state-dependent switching. IEEE Trans Autom Control 61(10):3164–3170

    MathSciNet  MATH  Google Scholar 

  11. Zhang H, Xia Y, Wu Z (2016) Noise-to-state stability of random switched systems and its applications. IEEE Trans Autom Control 61(6):1607–1612

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  Google Scholar 

  13. Wu Z, Karimi H R, Shi P (2019) Practical trajectory tracking of random Lagrange systems. Automatica 105:314–322

    MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  15. Wu Z (2015) Stability criteria of random nonlinear systems and their applications. IEEE Trans Autom Control 60(4):1038–1049

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  17. Yao L, Zhang W (2018) Adaptive tracking control for a class of random pure-feedback nonlinear systems with Markovian switching. Int J Robust Nonlinear Control 28(8):3112–3126

    MathSciNet  MATH  Google Scholar 

  18. Chen X, Zhu Y, Li B, Yan H (2019) A linear quadratic model based on multistage uncertain random systems. Eur J Control 47:37–43

    MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  20. Wang Z, Chen G, Ba H (2019) Stability analysis of nonlinear switched systems with sampled-data controllers. Appl Math Comput 357(15):297–309

    MathSciNet  MATH  Google Scholar 

  21. Yang W, Tong S (2016) Adaptive output feedback fault-tolerant control of switched fuzzy systems. Inf Sci 329:478–490

    MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  23. Han J, Zhang H, Wang Y, Sun X (2018) Robust fault detection for switched fuzzy systems with unknown input. IEEE Trans Cybern 48(11):3056–3065

    Google Scholar 

  24. Liberzon D (2003) Switching in systems and control. Springer, Berlin

    MATH  Google Scholar 

  25. Long L J, Zhao J (2015) Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems. Fuzzy Sets Syst 273:49–67

    MathSciNet  MATH  Google Scholar 

  26. Tang L, Zhao J (2019) Switched threshold-based fault detection for switched nonlinear systems with its application to chua’s circuit system. IEEE Trans Circ Syst-I: Regul Pap 66(2):733–741

    Google Scholar 

  27. Long L J, Wang Z, Zhao J (2015) Switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems. Automatica 54:217–228

    MathSciNet  MATH  Google Scholar 

  28. Youssef T, Chadli M, Karimi H R, Wang R (2017) Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model. J Frankl Inst 354(6):2524–2542

    MathSciNet  MATH  Google Scholar 

  29. Sakthivel R, Karimi H R, Joby M, Santra S (2017) Resilient sampled-data control for Markovian jump systems with an adaptive fault-tolerant mechanism. IEEE Trans Circ Syst II: Express Briefs 64 (11):1312–1316

    Google Scholar 

  30. Liu Y, Yang G (2019) Integrated design of fault estimation and fault-tolerant control for linear multi-agent systems using relative outputs. Neurocomputing 329(15):468–475

    Google Scholar 

  31. Guo B, Chen Y (2019) Adaptive fault tolerant control for time-varying delay system with actuator fault and mismatched disturbance. ISA Trans 89:122–130

    Google Scholar 

  32. Harkat M F, Mansouri M, Nounou M N, Nounou H N (2019) Fault detection of uncertain chemical processes using interval partial least squares-based generalized likelihood ratio test. Inf Sci 490:265–284

    MathSciNet  MATH  Google Scholar 

  33. Zhao Z, Yang Y, Ding S X, Li L (2020) Fault-tolerant control for systems with model uncertainty and multiplicative faults. IEEE Trans Syst Man Cybern: Syst 50(2):514–524

    Google Scholar 

  34. Yan J J, Yang G, Li X J (2020) Adaptive observer-based fault-tolerant tracking control for T-S fuzzy systems with mismatched faults. IEEE Trans Fuzzy Syst 28(1):134–147

    Google Scholar 

  35. Pazouki E, De Abreu-Garcia J A, Sozer Y (2020) A novel fault-tolerant control method for interleaved dc-dc converters under switch fault condition. IEEE Trans Ind Appl 56(1):519–526

    Google Scholar 

  36. Sun S, Zhang H, Wang Y, Cai Y (2018) Dynamic output feedback-based fault-tolerant control design for T-S fuzzy systems with model uncertainties. ISA Trans 81:32–45

    Google Scholar 

  37. Gao Z, Ding S (2007) Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems. Automatica 43(5):912–920

    MathSciNet  MATH  Google Scholar 

  38. Cao L, Wang Y (2018) Fault-tolerant control for nonlinear systems with multiple intermittent faults and time-varying delays. Int J Control Automat Syst 16(2):609–621

    Google Scholar 

  39. 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 Frankl Inst 352:4721–4740

    MathSciNet  MATH  Google Scholar 

  40. Cao L, Tao Y, Wang Y, Li J, Huang B (2016) Reliable\(H_{\infty }\) control for nonlinear discrete-time systems with multiple intermittent faults in sensors or actuators. Int J Syst Sci 48(2):1–14

    MathSciNet  MATH  Google Scholar 

  41. Syed W A, Perinpanayagam S, Samie M, Jennions I (2016) A novel intermittent fault detection algorithm health monitoring for electronic interconnections. IEEE Trans Compon Packag Manuf Technol 6(3):400–406

    Google Scholar 

  42. Huang S J, He X Q, Zhang N N (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):193–199

    Google Scholar 

  43. Vargas A N, Costa E F, Acho L, do Val J B R (2018) Switching stochastic nonlinear systems with application to an automotive throttle. IEEE Trans Autom Control 63(9):3098–3104

    MathSciNet  MATH  Google Scholar 

  44. Han J, Zhang H, Liu X, Wei X Dissipativity-based fault detetion for uncertain switched fuzzy systems with unmeasurable premise variables. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2019.2900600

  45. Cao L, Wang Y, Xu L (2016) Fault-tolerant control of stochastic systems with intermittent faults and time-varying delays, . In: 2016 35th Chinese control conference (CCC), Chengdu, pp 6756–6760

  46. Du D, Cocquempot V (2017) Fault diagnosis and fault tolerant control for discrete-time linear systems with sensor fault. IFAC-PapersOnLine 50(1):15754–15759

    Google Scholar 

  47. Yoo S J (2015) Delay-independent fault detection and accommodation for non-linear strict-feedback systems with unknown time-varying delays. IET Control Theory Appl 9(2):293–299

    MathSciNet  Google Scholar 

  48. Wang T, Tong S (2017) Observer-based output-feedback asynchronous control for switched fuzzy systems. IEEE Trans Cybern 47(9):2579–2591

    Google Scholar 

  49. Su X, Shi P, Wu L, Song Y (2016) Fault detection filtering for nonlinear switched stochastic systems. IEEE Trans Autom Control 61(5):1310–1315

    MathSciNet  MATH  Google Scholar 

  50. Khalil H K (2002) Nonlinear systems, 3rd edn. Englewood Cliffs, Prentice-Hall

    Google Scholar 

  51. 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

    Google Scholar 

  52. Han Q L (2002) New results for delay-dependent stability of linear systems with time-varying delay. Int J Syst Sci 33(3):213–228

    MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  54. Zhang H, Wang Y, Liu D (2008) Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays. IEEE Trans Cybern 38(1):126–140

    Google Scholar 

  55. Jin Y, Zhang Y, Jing Y, Fu J (2019) An average dwell-time method for fault-tolerant control of switched time-delay systems and its application. IEEE Trans Ind Electron 66(4):3139–3147

    Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61627809, 61433004, 61621004), and Liaoning Revitalization Talents Program (XLYC1801005).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Shaoxin Sun, Huaguang Zhang & Zhiyun Gao

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, 110004, China

    Huaguang Zhang

  3. School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong, 264025, China

    Jian Han

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  1. Shaoxin Sun
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Correspondence to Huaguang Zhang.

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The authors declare that they have no conflicts of interest to this work. We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work. There is no any commercial or associative interest that represents a conflict of interest in connection with the paper submitted.

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Sun, S., Zhang, H., Han, J. et al. Multiple delay-dependent noise-to-state stability for a class of uncertain switched random nonlinear systems with intermittent sensor and actuator faults. Appl Intell 51, 265–282 (2021). https://doi.org/10.1007/s10489-020-01753-w

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