Advertisement

Nonlinear Dynamics

, Volume 98, Issue 3, pp 1615–1628 | Cite as

Event-triggered bumpless transfer control for switched systems with its application to switched RLC circuits

  • Ying ZhaoEmail author
  • Jun Zhao
Original paper
  • 47 Downloads

Abstract

This article concentrates on the event-triggered bumpless transfer control problem for switched linear systems. The goal is to reduce the control bumps induced by switchings and triggering, and to ensure the stability of the system. First, a novel description of the bumpless transfer performance is presented, quantifying the suppression level on the control bumps in both relative and absolute viewpoints. Then, an improved switching mechanism, an event-triggered scheme and a collection of event-driven controllers are jointly designed. Further, under the designed switching logic, event-triggered rule and controllers, a criterion is established to attain the goal. Besides, Zeno behavior is excluded. Finally, an application on a switched RLC circuit is offered, verifying the efficiency of the developed event-triggered bumpless transfer control strategy.

Keywords

Switched linear systems Event-triggered Bumpless transfer Asymptotical stability Zeno behavior 

Notes

Compliance with ethical standards

Conflicts of interest

The authors declare that there is no conflict of interests regarding the publication of this paper, and the research does not involve Human Participants and/or Animals.

References

  1. 1.
    Liberzon, D., Morse, A.S.: Basic problems in stability and design of switched systems. IEEE Control Syst. 19(5), 59–70 (1999)zbMATHGoogle Scholar
  2. 2.
    Lin, H., Antsaklis, P.J.: Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Trans. Autom. Control. 54(2), 308–322 (2009)MathSciNetzbMATHGoogle Scholar
  3. 3.
    Sun, X.M., Liu, G.P., Wang, W., Rees, D.: \( L_{2}\)-gain of systems with input delays and controller temporary failure Zero-order hold model. IEEE Trans. Control Syst. Technol. 19(3), 699–706 (2011)Google Scholar
  4. 4.
    Niu, B., Li, H., Qin, T., Karimi, H.R.: Adaptive NN dynamic surface controller design for nonlinear pure-feedback switched systems with time-delays and quantized input. IEEE Trans. Syst. Man Cybern. Syst. (2017).  https://doi.org/10.1109/TSMC.2017.2696710 Google Scholar
  5. 5.
    Wang, F., Chen, B., Zhang, Z., Lin, C.: Adaptive tracking control of uncertain switched stochastic nonlinear systems. Nonlinear Dyn. 84(4), 2099–2109 (2016)MathSciNetzbMATHGoogle Scholar
  6. 6.
    He, H., Gao, X., Qi, W.: Observer-based sliding mode control for switched positive nonlinear systems with asynchronous switching. Nonlinear Dyn. 93(4), 2433–2444 (2018)zbMATHGoogle Scholar
  7. 7.
    Long, L.: J: Multiple Lyapunov functions-based small-gain theorems for switched interconnected nonlinear systems. IEEE Trans. Autom. Control 62(8), 3943–3958 (2017)MathSciNetzbMATHGoogle Scholar
  8. 8.
    Allerhand, L.I., Shaked, U.: Robust stability and stabilization of linear switched systems with dwell time. IEEE Autom. Trans. Control 56(2), 381–386 (2011)MathSciNetzbMATHGoogle Scholar
  9. 9.
    Hanus, R., Kinnaert, M., Henrotte, J.L.: Conditioning technique, a general anti-windup and bumpless transfer method. Automatica 23(6), 729–739 (1987)zbMATHGoogle Scholar
  10. 10.
    Zhao, Y., Ma, D., Zhao, J.: \(L_2\) bumpless transfer control for switched linear systems with almost output regulation. Syst. Control Lett. 119, 39–45 (2018)zbMATHGoogle Scholar
  11. 11.
    Turner, M.C., Walker, D.J.: Linear quadratic bumpless transfer. Automatica 36(8), 1089–1101 (2000)MathSciNetzbMATHGoogle Scholar
  12. 12.
    Zaccarian, L., Teel, A.R.: The \({L}_2(l_2)\) bumpless transfer problem for linear plants: its definition and solution. Automatica 41(7), 1273–1280 (2005)MathSciNetzbMATHGoogle Scholar
  13. 13.
    Cheong, S.Y., Safonov, M.G.: Slow-fast controller decomposition bumpless transfer for adaptive switching control. IEEE Trans. Autom. Control 57(3), 721–726 (2012)MathSciNetzbMATHGoogle Scholar
  14. 14.
    Malloci, I., Hetel, L., Daafouz, J., Szczepanski, P.: Bumpless transfer for switched linear systems. Automatica 48(7), 1440–1446 (2012)MathSciNetzbMATHGoogle Scholar
  15. 15.
    Ge, S., Sun, Z.: Switched controllability via bumpless transfer input and constrained switching. IEEE Trans. Autom. Control 53(7), 1702–1706 (2008)MathSciNetzbMATHGoogle Scholar
  16. 16.
    Qi, Y., Bao, W., Chang, J.: Robust asynchronous bumpless transfer for switched linear systems. Int. J. Control 88(12), 2433–2443 (2015)MathSciNetzbMATHGoogle Scholar
  17. 17.
    Daafouz, Geromel J.C., Deaecto, G.S.: A simple approach for switched control design with control bumps limitation. Syst. Control Lett. 61(12), 1215–1220 (2012)MathSciNetzbMATHGoogle Scholar
  18. 18.
    Zhao, Y., Zhao, J., Fu, J.: Bumpless transfer control for switched fuzzy systems with \( L_2 \)-gain property. IEEE Trans. Fuzzy Syst. (2019).  https://doi.org/10.1109/TFUZZ.2019.2893303 Google Scholar
  19. 19.
    Zhao, Y., Zhao, J.: \(H_\infty \) Reliable bumpless transfer control for switched systems with state and rate constraints. IEEE Trans. Syst. Man Cybern. Syst. (2018).  https://doi.org/10.1109/TSMC.2018.2871335
  20. 20.
    Hespanha, J., Naghshtabrizi, P., Xu, Y.: A survey of recent results in networked control systems. Proc. IEEE 95(1), 138–162 (2007)Google Scholar
  21. 21.
    Gupta, R.A., Chow, M.Y.: Networked control system: overview and research trends. IEEE Trans. Ind. Electron. 57(7), 2527–2535 (2010)Google Scholar
  22. 22.
    Ge, X., Yang, F., Han, Q.L.: Distributed networked control systems: a brief overview. Inf. Sci. 380, 117–131 (2017)Google Scholar
  23. 23.
    Zheng, B.C., Yu, X., Xue, Y.: Quantized feedback sliding-mode control: an event-triggered approach. Automatica 91, 126–135 (2018)MathSciNetzbMATHGoogle Scholar
  24. 24.
    Liu, S., Zhou, L.: Network synchronization and application of chaotic Lure systems based on event-triggered mechanism. Nonlinear Dyn. 83(4), 2497–2507 (2016)zbMATHGoogle Scholar
  25. 25.
    Li, T., Fu, J., Deng, F., Chai, T.: Stabilization of switched linear neutral systems: an event-triggered sampling control scheme. IEEE Trans. Autom. Control 63(10), 3537–3544 (2018)MathSciNetzbMATHGoogle Scholar
  26. 26.
    Tabuada, P.: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Autom. Control 52(9), 1680–1685 (2007)MathSciNetzbMATHGoogle Scholar
  27. 27.
    Xiao, X.Q., Zhou, L., Lu, G.P.: Event-triggered \(H_\infty \) filtering of continuous-time switched linear systems. Signal Process. 141, 343–349 (2017)Google Scholar
  28. 28.
    Liu, T., Jiang, Z.P.: A small-gain approach to robust event-triggered control of nonlinear systems. IEEE Trans. Autom. Control 60(8), 2072–2085 (2015)MathSciNetzbMATHGoogle Scholar
  29. 29.
    Qi, Y., Zeng, P., Bao, W.: Event-triggered and self-triggered \(H_\infty \) control of uncertain switched linear systems. IEEE Trans. Syst. Man Cybern. Syst. (2018).  https://doi.org/10.1109/TSMC.2018.2801284
  30. 30.
    Kwon, W., Koo, B., Lee, S.M.: Integral-based event-triggered synchronization criteria for chaotic Lur’e systems with networked PD control. Nonlinear Dyn. 94(2), 991–1002 (2018)Google Scholar
  31. 31.
    Su, X., Liu, X., Shi, P., Song, Y.D.: Sliding mode control of hybrid switched systems via an event-triggered mechanism. Automatica 29, 294–303 (2018)MathSciNetzbMATHGoogle Scholar
  32. 32.
    Zhang, J., Feng, G.: Event-driven observer-based output feedback control for linear systems. Automatical 50(7), 1852–1859 (2014)MathSciNetzbMATHGoogle Scholar
  33. 33.
    Zhang, L., Gao, H.: Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5), 953–958 (2014)MathSciNetzbMATHGoogle Scholar
  34. 34.
    Sun, X.M., Wu, D., Liu, G.P., Wang, W.: Input-to-state stability for networked predictive control with random delays in both feedback and forward channels. IEEE Trans. Ind. Electron. 61(7), 3519–3526 (2014)Google Scholar
  35. 35.
    Yuan, S., Zhang, L., De Schutter, B., Baldi, S.: A novel Lyapunov function for a non-weighted gain of asynchronously switched linear systems. Automatica 87, 310–317 (2018)MathSciNetzbMATHGoogle Scholar
  36. 36.
    Xiang, W., Johnson, T.T.: Event-triggered control for continuous-time switched linear systems. IET Control Theory Appl. 11(11), 1694–1703 (2017)MathSciNetGoogle Scholar
  37. 37.
    Jeltsema, D., Scherpen, J.M.: A dual relation between port-Hamiltonian systems and the Brayton–Moser equations for nonlinear switched RLC circuits. Automatica 39(6), 969–979 (2003)MathSciNetzbMATHGoogle Scholar
  38. 38.
    Xue, Y., Zheng, B.C., Li, T., Li, Y.: Robust adaptive state feedback sliding-mode control of memristor-based Chua’s systems with input nonlinearity. Appl. Math. Comput. 314, 142–153 (2017) MathSciNetzbMATHGoogle Scholar
  39. 39.
    Marks Ii, R.J., Gravagne, I.A., Davis, J.M., DaCunha, J.J.: Nonregressivity in switched linear circuits and mechanical systems. Math. Comput. Model. 43(11–12), 1383–1392 (2006)MathSciNetzbMATHGoogle Scholar
  40. 40.
    Yang, H., Cocquempot, V., Jiang, B.: Fault tolerance analysis for switched systems via global passivity. IEEE Trans. Circuits Syst. II Exp. Br. 55(12), 1279–1283 (2008)Google Scholar
  41. 41.
    Liu, Y., Zhao, J.: Generalized output synchronization of dynamical networks using output quasi-passivity. IEEE Trans. Circuits Syst. I Reg. Paper 59(6), 1290–1298 (2012)MathSciNetGoogle Scholar
  42. 42.
    Zhai, D., Lu, A.Y., Ye, D., Zhang, Q.L.: Adaptive tracking control for a class of switched uncertain nonlinear systems under a new state-dependent switching law. Nonlinear Anal. Hybrid Syst. 24, 227–243 (2017)MathSciNetzbMATHGoogle Scholar
  43. 43.
    Ren, H., Zong, G., Li, T.: Event-triggered finite-time control for networked switched linear systems with asynchronous switching. IEEE Trans. Syst. Man Cybern. Syst. (2018).  https://doi.org/10.1109/TSMC.2017.2789186 Google Scholar
  44. 44.
    Richter, Hanz: A multi-regulator sliding mode control strategy for output-constrained systems. Automatica 47(10), 2251–2259 (2011)MathSciNetzbMATHGoogle Scholar
  45. 45.
    Bao, W., Li, B., Chang, J., Niu, W., Yu, D.: Switching control of thrust regulation and inlet buzz protection for ducted rocket. Acta Astronaut. 67(7–8), 764–773 (2010)Google Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Synthetical Automation for Process IndustriesNortheastern UniversityShenyangChina
  2. 2.College of Information Science and EngineeringNortheastern UniversityShenyangChina

Personalised recommendations