SpringerLink
Log in

Design of a Novel Switched State Observer for Lipschitz Nonlinear Switched Systems with Finite-Time Boundedness Concept and Application to CSTR Systems

  • Published:
Journal of Control, Automation and Electrical Systems Aims and scope Submit manuscript

Abstract

This study extends an MLF-based finite-time boundedness observer technique for nonlinear switched systems with Lipschitz structures subject to external disturbances for the first time. This plan makes sure that the system states to stay within a set bound when external disruptions of finite duration are taken into account. Additionally, the ‘jump high’ condition is used to loosen up the observer’s limitations. The “jump high” condition, on the other hand, places a dwell-time restriction on the switching signal. In order to lower the dwell-time limitation in comparison with other structures, the observer and switching signal are designed together with the PDT structure. In linear matrix inequalities, finite-time boundedness constraints are expressed as a feasibility problem that may be resolved using standard software. These restrictions modify the rate of energy changes in switching moments and estimation error dynamics so that the system states stay within the specified bound. Finally, a numerical simulation of an example is used to evaluate the effectiveness of the suggested system. The outcomes demonstrate that the suggested plan is effective.

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
EUR 32.99 /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 includes VAT (Thailand)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Asgari, S., Atrianfar, H., Kazemi, M., & Suratgar, A. A. (2021). Robust fault detection of lipschitz nonlinear switched systems considering disturbance attenuation level and lipschitz constant maximization. Circuits, Systems, and Signal Processing, 40, 2782–2807.

    Article  Google Scholar 

  • Benallouch, M., Schutz, G., Fiorelli, D., & Boutayeb, M. (2014). H∞ model predictive control for discrete-time switched linear systems with application to drinking water supply network. Journal of Process Control, 24(6), 924–938.

    Article  CAS  Google Scholar 

  • Chen, H., Du, D., Zhu, D., & Yang, Y. (2019). UIO-based fault estimation and accommodation for nonlinear switched systems. International Journal of Control, Automation and Systems, 17(2), 435–444.

    Article  Google Scholar 

  • Du, D., Cocquempot, V., & Jiang, B. (2019). Robust fault estimation observer design for switched systems with unknown input. Applied Mathematics and Computation, 348, 70–83.

    Article  MathSciNet  Google Scholar 

  • Li, L., Jia, Y., Du, J., & Yuan, S. (2008). Robust L2–L∞ control for uncertain singular systems with time-varying delay. Progress in Natural Science, 18(8), 1015–1021.

    Article  MathSciNet  Google Scholar 

  • Li, Y., Sui, S., & Tong, S. (2016). Adaptive fuzzy control design for stochastic nonlinear switched systems with arbitrary switchings and unmodeled dynamics. IEEE Transactions on Cybernetics, 47(2), 403–414.

    PubMed  Google Scholar 

  • Li, Y., & Tong, S. (2017). Adaptive neural networks prescribed performance control design for switched interconnected uncertain nonlinear systems. IEEE Transactions on Neural Networks and Learning Systems, 29(7), 3059–3068.

    MathSciNet  PubMed  Google Scholar 

  • Li, Y., Tong, S., Liu, L., & Feng, G. (2017). Adaptive output-feedback control design with prescribed performance for switched nonlinear systems. Automatica, 80, 225–231.

    Article  MathSciNet  Google Scholar 

  • Lin, H., & Antsaklis, P. J. (2009). Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control, 54(2), 308–322.

    Article  MathSciNet  Google Scholar 

  • Liu, Q., & Zhao, J. (2020). Switched adaptive observers design for a class of switched uncertain nonlinear systems. Nonlinear Analysis: Hybrid Systems, 36, 100866.

    MathSciNet  Google Scholar 

  • Long, L., & Zhao, J. (2014). Adaptive output-feedback neural control of switched uncertain nonlinear systems with average dwell time. IEEE Transactions on Neural Networks and Learning Systems, 26(7), 1350–1362.

    Article  MathSciNet  PubMed  Google Scholar 

  • Lyu, X., Ai, Q., Yan, Z., He, S., Luan, X., & Liu, F. (2020). Finite-time asynchronous resilient observer design of a class of non-linear switched systems with time-delays and uncertainties. IET Control Theory & Applications, 14(7), 952–963.

    Article  MathSciNet  Google Scholar 

  • Niu, B., Karimi, H. R., Wang, H., & Liu, Y. (2016). Adaptive output-feedback controller design for switched nonlinear stochastic systems with a modified average dwell-time method. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(7), 1371–1382.

    Article  Google Scholar 

  • Nodozi, I., & Rahmani, M. (2017). LMI-based model predictive control for switched nonlinear systems. Journal of Process Control, 59, 49–58.

    Article  CAS  Google Scholar 

  • Qi, Y., Yu, W., Huang, J., & Yu, Y. (2021). Model predictive control for switched systems with a novel mixed time/event-triggering mechanism. Nonlinear Analysis: Hybrid Systems, 42, 101081.

    MathSciNet  Google Scholar 

  • Shi, S., Shi, Z., & Fei, Z. (2019). Asynchronous control for switched systems by using persistent dwell time modeling. Systems & Control Letters, 133, 104523.

    Article  MathSciNet  Google Scholar 

  • Sun, Z., & Ge, S. S. (2005). Switched linear systems. Springer.

    Book  Google Scholar 

  • Sun, Z., & Ge, S. S. (2011). Stability theory of switched dynamical systems (pp. 1–253). Springer.

    Google Scholar 

  • Taghieh, A., & Shafiei, M. H. (2021). Observer-based robust model predictive control of switched nonlinear systems with time delay and parametric uncertainties. Journal of Vibration and Control, 27(17–18), 1939–1955.

    Article  MathSciNet  Google Scholar 

  • Tong, S., Zhang, L., & Li, Y. (2015). Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear large-scale systems with dead zones. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46(1), 37–47.

    Article  Google Scholar 

  • **ang, W., **ao, J., & Iqbal, M. N. (2012). Robust observer design for nonlinear uncertain switched systems under asynchronous switching. Nonlinear Analysis: Hybrid Systems, 6(1), 754–773.

    MathSciNet  Google Scholar 

  • **ang, Z., Wang, R., & Jiang, B. (2011). Nonfragile observer for discrete-time switched nonlinear systems with time delay. Circuits, Systems, and Signal Processing, 30(1), 73–87.

    Article  MathSciNet  Google Scholar 

  • Yang, H., Jiang, B., & Cocquempot, V. (2014). A survey of results and perspectives on stabilization of switched nonlinear systems with unstable modes. Nonlinear Analysis: Hybrid Systems, 13, 45–60.

    MathSciNet  Google Scholar 

  • Zhao, X., Liu, H., Zhang, J., & Li, H. (2013). Multiple-mode observer design for a class of switched linear systems. IEEE Transactions on Automation Science and Engineering, 12(1), 272–280.

    Article  Google Scholar 

  • Zheng, H., Sun, G., Ren, Y., & Tian, C. (2018). Quasi-time-dependent controller for discrete-time switched linear systems with mode-dependent average dwell-time. Asian Journal of Control, 20(1), 263–275.

    Article  MathSciNet  Google Scholar 

  • Zheng, Q., Xu, S., & Zhang, Z. (2020). Nonfragile H∞ observer design for uncertain nonlinear switched systems with quantization. Applied Mathematics and Computation, 386, 125435.

    Article  MathSciNet  Google Scholar 

Download references

Funding

No Funding.

Author information

Authors and Affiliations

  1. Department of Applied Engineering, Zhejiang Business College, Hangzhou, 310053, People’s Republic of China

    Hongfei Luo & Sunyuan Shen

  2. Institute of Electronic Commerce, Zhejiang Business College, Hangzhou, 310053, People’s Republic of China

    Sheng Qi

Authors
  1. Hongfei Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sunyuan Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sheng Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hongfei Luo.

Ethics declarations

Conflict of interest

The authors declare no competing of interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luo, H., Shen, S. & Qi, S. Design of a Novel Switched State Observer for Lipschitz Nonlinear Switched Systems with Finite-Time Boundedness Concept and Application to CSTR Systems. J Control Autom Electr Syst 35, 390–400 (2024). https://doi.org/10.1007/s40313-023-01064-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40313-023-01064-8

Keywords

Search

Navigation