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Dynamic Feedback Control for Model-Based Linear Switched Systems

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Advances in Guidance, Navigation and Control ( ICGNC 2022)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 845))

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Abstract

This paper is focused on the problem of the dynamic feedback control for model-based linear switched systems, which consist of Hurwitz stable and unstable subsystems. We use the average dwell time (ADT) approach to establish a sufficient condition of exponential stability. By considering the networked communication in closed-loop control systems, a new framework for model-based linear switched systems is proposed, in which it transmits state information periodically through sensors to the model and controller. In the end, we give an example to verify the validity of the design method.

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References

  1. Rappaport, T.S.: Wireless Communications: Principles and Practice. Prentice Hall PTR 2001, New Jersey (1996)

    MATH  Google Scholar 

  2. Cao, Y., Yu, W., Ren, W., Chen, G.: An overview of recent progress in the study of distributed multi-agent coordination. IEEE Trans. Industr. Inf. 9(1), 427–438 (2012). https://doi.org/10.1109/TII.2012.2219061

    Article  Google Scholar 

  3. Lu, B., Wu, F., Kim, S.: Switching LPV control of an F-16 aircraft via controller state reset. IEEE Trans. Control Syst. Technol. 14(2), 267–277 (2006). https://doi.org/10.1109/TCST.2005.863656

    Article  Google Scholar 

  4. Lee, T.C., Jiang, Z.P.: Uniform asymptotic stability of nonlinear switched systems with an application to mobile robots. IEEE Trans. Autom. Control 53(5), 1235–1252 (2008). https://doi.org/10.1109/TAC.2008.923688

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhai, G.S., Hu, B., Yasuda, K., Michel, A.N.: Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. Int. J. Syst. Sci. 32(8), 1055–1061 (2001). https://doi.org/10.1080/00207720116692

    Article  MathSciNet  MATH  Google Scholar 

  6. Liberzon, D.: Switching in Systems and Control, vol. 190. Birkhauser, Boston (2003)

    Book  MATH  Google Scholar 

  7. Hespanha, J.P., Morse, A.S.: Stability of switched systems with average dwell-time. In: IEEE Conference Decision Control, pp. 2655–2660 (1999). https://doi.org/10.1109/cdc.1999.831330

  8. Hespanha, J.P.: Uniform stability of switched linear systems: Extensions of Lasalle’s invariance principle. IEEE Trans. Autom. Control 49(4), 470–482 (2004). https://doi.org/10.1109/TAC.2004.825641

    Article  MathSciNet  MATH  Google Scholar 

  9. Zhai, G.S., et al.: L2 gain analysis for switched systems with continuous-time and discrete-time subsystems. Int. J. Control 78(15), 1198–1205 (2005). https://doi.org/10.1080/00207170500274966

    Article  MATH  Google Scholar 

  10. Zhang, L., Gao, H.: Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5), 953–958 (2010). https://doi.org/10.1016/j.automatica.2010.02.021

    Article  MathSciNet  MATH  Google Scholar 

  11. Wang, Y., Niu, B., Wang, H., Alotaibi, N., Abozinadah, E.: Neural network-based adaptive tracking control for switched nonlinear systems with prescribed performance: An average dwell time switching approach. Neurocomputing 435, 295–306 (2021). https://doi.org/10.1016/j.neucom.2020.10.023

    Article  Google Scholar 

  12. Yu, M., Wang, L., Chu, T.G., Xie, G.M.: Stabilization of networked control systems in the presence of packet losses. Dyn. Contin. Discrete Impuls. Syst. Ser. B: Appl. Algorithms 13, 237–247 (2006). Watam Press

    MathSciNet  MATH  Google Scholar 

  13. Lian, J., Feng, Z., Shi, P.: Observer design for switched recurrent neural networks: An average dwell time approach. IEEE Trans. Neural Netw. 22(10), 1547–1556 (2011). https://doi.org/10.1109/TNN.2011.2162111

    Article  Google Scholar 

  14. Zamani, I., Shafiee, M.: On the stability issues of switched singular time-delay systems with slow switching based on average dwell-time. Int. J. Robust Nonlinear Control 24(4), 595–624 (2012). https://doi.org/10.1002/rnc.2903

    Article  MathSciNet  MATH  Google Scholar 

  15. Lien, C.H., Yu, K.W., Chung, Y.J., Lin, Y.F., Chung, L.Y., Chen, J.D.: Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay. Nonlinear Anal. Hybrid Syst. 3(3), 334–342 (2009). https://doi.org/10.1016/j.nahs.2009.02.010

    Article  MathSciNet  MATH  Google Scholar 

  16. Zhao, X., Yin, S., Li, H., Niu, B.: Switching stabilization for a class of slowly switched systems. IEEE Trans. Autom. Control 60(1), 221–226 (2015). https://doi.org/10.1109/tac.2014.2322961

    Article  MathSciNet  MATH  Google Scholar 

  17. Montestruque, L.A., Antsaklis, P.J.: On the model-based control of networked systems. Automatica 39(10), 1837–1843 (2003). https://doi.org/10.1016/0022-2836(81)90087-5

    Article  MathSciNet  MATH  Google Scholar 

  18. Montestruque, L.A., Antsaklis, P.J.: Stability of model-based networked control systems with time-varying transmission times. IEEE Trans. Autom. Control 49(9), 1562–1572 (2004). https://doi.org/10.1109/tac.2004.834107. IEEE Press, New York

    Article  MathSciNet  MATH  Google Scholar 

  19. Azimi-Sadjadi, B.: Stability of networked control systems in the presence of packet losses. In: the 42nd IEEE Conference on Decision and Control 2003, pp. 676–681. IEEE Press, New York (2003). https://doi.org/10.1109/cdc.2003.1272642

  20. Fridman, E., Blighovsky, A.: Blighovsky, Robust sampled-data control of a class of semilinear parabolic systems. Automatica 48(5), 826–836 (2012). https://doi.org/10.1016/j.automatica.2012.02.006

    Article  MathSciNet  MATH  Google Scholar 

  21. Gao, H., Wu, J., Shi, P.: Robust sampled-data H\(\infty \) control with stochastic sampling. Automatica 45(7), 1729–1736 (2009). https://doi.org/10.1016/j.automatica.2009.03.004

    Article  MathSciNet  MATH  Google Scholar 

  22. Wu, L., Zheng, W.X., Gao, H.: Dissipativity-based sliding mode control of switched stochastic systems. IEEE Trans. Autom. Control 58(3), 785–791 (2013). https://doi.org/10.1109/tac.2012.2211456

    Article  MathSciNet  MATH  Google Scholar 

  23. Fu, J., Li, T.F., Chai, T., Su, C.Y.: Sampled-data-based stabilization of switched linear neutral systems. Automatica 72, 92–99 (2016). https://doi.org/10.1016/j.automatica.2016.05.020

    Article  MathSciNet  MATH  Google Scholar 

  24. Tallapragada, P., Chopra, N.: On event triggered tracking for nonlinear systems. IEEE Trans. Autom. Control 58(9), 2343–2348 (2013). https://doi.org/10.1109/tac.2013.2251794

    Article  MathSciNet  MATH  Google Scholar 

  25. Li, T.F., 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). https://doi.org/10.1109/tac.2018.2797160

    Article  MathSciNet  MATH  Google Scholar 

  26. Xu, X., Li, Y., Liu, C., et al.: Event-triggered control of discrete-time switched linear systems with an arbitrary sampling period. Int. J. Control Autom. Syst. 19, 279–288 (2021). https://doi.org/10.1007/s12555-020-0018-4

    Article  Google Scholar 

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Acknowledgement

This work was supported by the National Natural Science Foundation of China under Grant 61873014.

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Authors and Affiliations

  1. College of Control Science and Engineering, Bohai University, Jinzhou, 121013, China

    Jiaming Lu & Tai-Fang Li

Authors
  1. Jiaming Lu
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  2. Tai-Fang Li
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Corresponding author

Correspondence to Jiaming Lu .

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Editors and Affiliations

  1. Ningbo Institute of Technology, Beihang University, Ningbo, China

    Liang Yan

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, Beijing, China

    Haibin Duan

  3. School of Automation Science and Electrical Engineering, Beihang University, Beijing, Beijing, China

    Yimin Deng

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Lu, J., Li, TF. (2023). Dynamic Feedback Control for Model-Based Linear Switched Systems. In: Yan, L., Duan, H., Deng, Y. (eds) Advances in Guidance, Navigation and Control. ICGNC 2022. Lecture Notes in Electrical Engineering, vol 845. Springer, Singapore. https://doi.org/10.1007/978-981-19-6613-2_324

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