Skip to main content

Advertisement

Springer Nature Link
Log in

State estimation and finite-frequency fault detection for interconnected switched cyber-physical systems

  • Research Paper
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

For switched cyber-physical systems with disturbances and actuator faults, we address fault detection and isolation problems. First, the preconditions relative to subsystems are discussed in detail, and the original subsystems are turned into an overall system. Second, the frequency ranges of faults are considered to belong to the finite-frequency domain, and the observer, which makes the residual robust against disturbances and sensitive to faults, is designed by combining the finite-frequency H− technique with the mixed L2 − L∞/H∞ technique. Third, design conditions, which guarantee that the error system is stable and satisfies the mixed performance, are derived using the average dwell time method and Lyapunov functionals. Finally, a traffic density dynamic model is proposed to demonstrate the validity and effectiveness of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Huang R, Zhang J H, Zhang X. Adaptive tracking control of uncertain switched non-linear systems with application to aircraft wing rock. IET Control Theory Appl, 2016, 10: 1755–1762

    Article  MathSciNet  Google Scholar 

  2. Shen H, Xing M P, Wu Z G, et al. Multiobjective fault-tolerant control for fuzzy switched systems with persistent dwell time and its application in electric circuits. IEEE Trans Fuzzy Syst, 2020, 28: 2335–2347

    Article  Google Scholar 

  3. Elliott R, Sun P Y, Zhu T. Electricity prices and industry switching: evidence from Chinese manufacturing firms. Energy Economics, 2019, 78: 567–588

    Article  Google Scholar 

  4. Guo Y X, Ge S S, Fu J T, et al. Stability and stabilization of a class of switched stochastic systems with saturation control. Sci China Inf Sci, 2021, 64: 222201

    Article  MathSciNet  Google Scholar 

  5. Ren H L, Zong G D, Karimi H R. Asynchronous finite-time filtering of networked switched systems and its application: an event-driven method. IEEE Trans Circuits Syst I, 2019, 66: 391–402

    Article  MathSciNet  Google Scholar 

  6. Mu X W, Hu Z H. Stability analysis for semi-Markovian switched stochastic systems with asynchronously impulsive jumps. Sci China Inf Sci, 2021, 64: 112206

    Article  MathSciNet  Google Scholar 

  7. Aazan G, Girard A, Greco L, et al. Stability of shuffled switched linear systems: a joint spectral radius approach. Automatica, 2022, 143: 110434

    Article  MathSciNet  Google Scholar 

  8. Yang H, Zhao X D, Jiang B. Stability analysis of switched positive nonlinear systems: an invariant ray approach. Sci China Inf Sci, 2019, 62: 212206

    Article  MathSciNet  Google Scholar 

  9. Taousser F Z, Djouadi S M, Tomsovic K. A dwell time approach for the stabilization of mixed continuous/discrete switched systems. Automatica, 2022, 142: 110386

    Article  MathSciNet  Google Scholar 

  10. Zhang S Y, Nie H. Dwell-time-dependent asynchronous mixed H− and passive control for discrete-time switched systems. Nonlinear Anal-Hybrid Syst, 2022, 44: 101140

    Article  MathSciNet  Google Scholar 

  11. Zhuang S L, Yu X H, Qiu J B, et al. Meta-sequence-dependent H− filtering for switched linear systems under persistent dwell-time constraint. Automatica, 2021, 123: 109348

    Article  MathSciNet  Google Scholar 

  12. Li Y, Zhang H B. Stability, L1-gain analysis and asynchronous L1-gain control of uncertain discrete-time switched positive linear systems with dwell time. J Franklin Institute, 2019, 356: 382–406

    Article  MathSciNet  Google Scholar 

  13. Lu A Y, Yang G H. Stabilization of switched systems with all modes unstable via periodical switching laws. Automatica, 2020, 122: 109150

    Article  MathSciNet  Google Scholar 

  14. Ma R C, An S, Fu J. Dwell-time-based stabilization of switched positive systems with only unstable subsystems. Sci China Inf Sci, 2021, 64: 119205

    Article  MathSciNet  Google Scholar 

  15. Yang R N, Zheng W X. H∞ filtering for discrete-time 2-D switched systems: an extended average dwell time approach. Automatica, 2018, 98: 302–313

    Article  MathSciNet  Google Scholar 

  16. Yu Q, Lv H. Stability analysis for discrete-time switched systems with stable and unstable modes based on a weighted average dwell time approach. Nonlinear Anal-Hybrid Syst, 2020, 38: 100949

    Article  MathSciNet  Google Scholar 

  17. Qi W H, Park J H, Cheng J, et al. Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time. Inf Sci, 2018, 424: 224–234

    Article  Google Scholar 

  18. Liu L J, Zhao X D, Sun X M, et al. Stability and l2-gain analysis of discrete-time switched systems with mode-dependent average dwell time. IEEE Trans Syst Man Cybern Syst, 2020, 50: 2305–2314

    Article  Google Scholar 

  19. Huang D R, Hua X X, Mi B, et al. Incipient fault diagnosis on active disturbance rejection control. Sci China Inf Sci, 2022, 65: 199202

    Article  MathSciNet  Google Scholar 

  20. Guo S H, Zhu F L, Jiang B. Reduced-order switched UIO design for switched discrete-time descriptor systems. Nonlinear Anal-Hybrid Syst, 2018, 30: 240–255

    Article  MathSciNet  Google Scholar 

  21. Hua X X, Huang D R, Guo S H. Extended state observer based on ADRC of linear system with incipient fault. Int J Control Autom Syst, 2020, 18: 1425–1434

    Article  Google Scholar 

  22. Huang J, Ma X, Che H C, et al. Further result on interval observer design for discrete-time switched systems and application to circuit systems. IEEE Trans Circuits Syst II, 2020, 67: 2542–2546

    Google Scholar 

  23. Choi H D, Ahn C K, Karimi H R, et al. Filtering of discrete-time switched neural networks ensuring exponential dissipative and l2 − l∞ performances. IEEE Trans Cybern, 2017, 47: 3195–3207

    Article  Google Scholar 

  24. Xiong S X, Wu Q X, Wang Y H, et al. An l2 − l∞ distributed containment coordination tracking of heterogeneous multi-unmanned systems with switching directed topology. Appl Math Computation, 2021, 404: 126080

    Article  Google Scholar 

  25. Du D X, Yang Y, Zhao H, et al. Robust fault diagnosis observer design for uncertain switched systems. Int J Control Autom Syst, 2020, 18: 3159–3166

    Article  Google Scholar 

  26. Mei Z, Fang T, Shen H. Finite-time l2 − l∞ filtering for persistent dwelltime switched piecewise-affine systems against deception attacks. Appl Math Computation, 2022, 427: 127088

    Article  Google Scholar 

  27. Hu X H, Xia J W, Chen X Y, et al. Non-fragile l2 − l∞ synchronization for switched inertial neural networks with random gain fluctuations: a persistent dwell-time switching law. Neurocomputing, 2020, 403: 193–202

    Article  Google Scholar 

  28. Tai W P, Zuo D D, Xuan Z X, et al. Non-fragile l2 − l∞ filtering for a class of switched neural networks. Math Comput Simul, 2021, 185: 629–645

    Article  Google Scholar 

  29. Hou L L, Zhao X D, Sun H B, et al. l2 − l∞ filtering of discrete-time switched systems via admissible edge-dependent switching signals. Syst Control Lett, 2018, 113: 17–26

    Article  Google Scholar 

  30. Xiang W M, Lam J, Li P S. On stability and H∞ control of switched systems with random switching signals. Automatica, 2018, 95: 419–425

    Article  MathSciNet  Google Scholar 

  31. Chen Y, Zhu M Z, Lu R Q, et al. Distributed H∞ filtering of nonlinear systems with random topology by an event-triggered protocol. Sci China Inf Sci, 2021, 64: 202204

    Article  MathSciNet  Google Scholar 

  32. Shen Y X, Wang Z D, Shen B, et al. H− state estimation for multi-rate artificial neural networks with integral measurements: a switched system approach. Inf Sci, 2020, 539: 434–446

    Article  MathSciNet  Google Scholar 

  33. Zhang H, Wang Z P, Yan H C, et al. Adaptive event-triggered transmission scheme and H− filtering co-design over a filtering network with switching topology. IEEE Trans Cybern, 2019, 49: 4296–4307

    Article  Google Scholar 

  34. Gao H, Shi K B, Zhang H B. A novel event-triggered strategy for networked switched control systems. J Franklin Institute, 2021, 358: 251–267

    Article  MathSciNet  Google Scholar 

  35. Liu X X, Su X J, Shi P, et al. Fault detection filtering for nonlinear switched systems via event-triggered communication approach. Automatica, 2019, 101: 365–376

    Article  MathSciNet  Google Scholar 

  36. Li J, Pan K P, Zhang D Z, et al. Robust fault detection and estimation observer design for switched systems. Nonlinear Anal-Hybrid Syst, 2019, 34: 30–42

    Article  MathSciNet  Google Scholar 

  37. Su Q Y, Fan Z X, Lu T, et al. Fault detection for switched systems with all modes unstable based on interval observer. Inf Sci, 2020, 517: 167–182

    Article  MathSciNet  Google Scholar 

  38. Zhai D, Lu A Y, Li J H, et al. Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time. Appl Math Computation, 2016, 273: 767–792

    Article  MathSciNet  Google Scholar 

  39. Zhang Z H, Yang G H. Interval observer-based fault isolation for discrete-time fuzzy interconnected systems with unknown interconnections. IEEE Trans Cybern, 2017, 47: 2413–2424

    Article  Google Scholar 

  40. Zhu F L, Tang Y Y, Wang Z H. Interval-observer-based fault detection and isolation design for T-S fuzzy system based on zonotope analysis. IEEE Trans Fuzzy Syst, 2022, 30: 945–955

    Article  Google Scholar 

  41. Zammali C, Wang Z H, Gorp J V, et al. Fault detection for switched systems based on pole assignment and zonotopic residual evaluation. IFAC-PapersOnLine, 2020, 53: 4695–4700

    Article  Google Scholar 

  42. Wang H M, Yang G H, Ye D. Fault detection and isolation for affine fuzzy systems with sensor faults. IEEE Trans Fuzzy Syst, 2016, 24: 1058–1071

    Article  Google Scholar 

  43. Zhou M, Rodrigues M, Shen Y, et al. H−/H−, fault detection observer design for a polytopic LPV system using the relative degree. Int J Appl Math Comput Sci, 2018, 28: 83–95

    Article  MathSciNet  Google Scholar 

  44. Liao F, Zhu Y Z, Yang R N, et al. Integrated fault estimation and tolerant control for discrete-time switched affine systems with mixed switching laws. Nonlinear Anal-Hybrid Syst, 2022, 44: 101167

    Article  MathSciNet  Google Scholar 

  45. Zhang X Y. Robust integral sliding mode control for uncertain switched systems under arbitrary switching rules. Nonlinear Anal-Hybrid Syst, 2020, 37: 100900

    Article  MathSciNet  Google Scholar 

  46. Wang X H, Tan C P, Zhou D H. A novel sliding mode observer for state and fault estimation in systems not satisfying matching and minimum phase conditions. Automatica, 2017, 79: 290–295

    Article  MathSciNet  Google Scholar 

  47. Zhu F L. State estimation and unknown input reconstruction via both reduced-order and high-order sliding mode observers. J Process Control, 2012, 22: 296–302

    Article  Google Scholar 

  48. Zhang J C, Zhao X D, Zhu F L, et al. Reduced-order observer design for switched descriptor systems with unknown inputs. IEEE Trans Automat Contr, 2020, 65: 287–294

    Article  MathSciNet  Google Scholar 

  49. Zhang X M, Zhu F L. Observer-based sensor attack diagnosis for cyber-physical systems via zonotope theory. Asian J Control, 2021, 23: 2444–2458

    Article  MathSciNet  Google Scholar 

  50. Liang D G, Yang Y, Li R C, et al. Finite-frequency H−/H∞ unknown input observer-based distributed fault detection for multi-agent systems. J Franklin Institute, 2021, 358: 3258–3275

    Article  MathSciNet  Google Scholar 

  51. Wang H, Yang G H. A finite frequency domain approach to fault detection observer design for linear continuous-time systems. Asian J Control, 2008, 10: 559–568

    Article  MathSciNet  Google Scholar 

  52. Guo Y Q. Dynamic-model-based switched proportional-integral state observer design and traffic density estimation for urban freeway. Eur J Control, 2018, 44: 103–113

    Article  MathSciNet  Google Scholar 

  53. Zeroual A, Harrou F, Sun Y. Road traffic density estimation and congestion detection with a hybrid observer-based strategy. Sustain Cities Soc, 2019, 46: 101411

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 62273065, 61703296), China Postdoctoral Science Foundation (Grant No. 2022M721901), and Opening Project of the Key Laboratory of Bionic Engineering (Ministry of Education), Jilin University (Grant No. K202208).

Author information

Authors and Affiliations

  1. School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China

    Shenghui Guo & Mingzhu Tang

  2. School of Artificial Intelligence, Anhui University, Hefei, 230601, China

    Darong Huang

  3. Tsinghua University Suzhou Automobile Research Institute, Suzhou, 215200, China

    Jiafeng Song

Authors
  1. Shenghui Guo
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Mingzhu Tang
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Darong Huang
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. Jiafeng Song
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Darong Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guo, S., Tang, M., Huang, D. et al. State estimation and finite-frequency fault detection for interconnected switched cyber-physical systems. Sci. China Inf. Sci. 66, 192204 (2023). https://doi.org/10.1007/s11432-022-3705-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-022-3705-2

Keywords