Volume 17, Issue 1 (Journal of Control, V.17, N.1 Spring 2023)
JoC 2023, 17(1): 93-104 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Nasrollahi A, Afzalian A A. Observer based robust control of uncertain switched linear systems with asynchronous switching in the presence of disturbance. JoC 2023; 17 (1) :93-104
URL: http://joc.kntu.ac.ir/article-1-972-en.html
URL: http://joc.kntu.ac.ir/article-1-972-en.html
1- Shahid Beheshti University
Abstract: (1553 Views)
This paper focuses on the control of uncertain switched linear systems with asynchronous switching in the presence of disturbance using an observer with average dwell time. For this purpose, firstly, an appropriate model for the system is introduced, The maximum allowed time of non-synchronism, the minimum average dwell time and the necessary conditions for system stability are determined, using pseudo-Lyapunov functions. The novelty of this research is taking into account several undesirable parameters, i.e. asynchronous switching, uncertainty, disturbance and lack of access to several variables, simultaneously. Considering these factors together increase the complexity of the problem. Finally, the effectiveness of the proposed algorithm is shown through the implementation of the method on the system of a flying object in the MATLAB simulation environment.
Type of Article: Research paper |
Subject:
Special
Received: 2023/03/23 | Accepted: 2023/06/16 | ePublished ahead of print: 2023/06/20 | Published: 2023/06/22
Received: 2023/03/23 | Accepted: 2023/06/16 | ePublished ahead of print: 2023/06/20 | Published: 2023/06/22
References
1. [1] D. Liberzon, Switching in systems and control. Springer, 2003. [DOI:10.1007/978-1-4612-0017-8]
2. [2] X. Zhao, Y. Yin, and X. Zheng, "State-dependent switching control of switched positive fractional-order systems," ISA transactions, vol. 62, pp. 103-108, 2016. [DOI:10.1016/j.isatra.2016.01.011]
3. [3] C. Briat, "Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems," Nonlinear Analysis: Hybrid Systems, vol. 24, pp. 198-226, 2017. [DOI:10.1016/j.nahs.2017.01.004]
4. [4] L. Lin, Z. Liu, Y. Kao, and R. Xu, "Observer‐based adaptive sliding mode control of uncertain switched systems," IET Control Theory & Applications, vol. 14, no. 3, pp. 519-525, 2020. [DOI:10.1049/iet-cta.2019.0726]
5. [5] B. Jiang, H. R. Karimi, S. Yang, C. Gao, and Y. Kao, "Observer-based adaptive sliding mode control for nonlinear stochastic Markov jump systems via T-S fuzzy modeling: Applications to robot arm model," IEEE Transactions on Industrial Electronics, vol. 68, no. 1, pp. 466-477, 2020. [DOI:10.1109/TIE.2020.2965501]
6. [6] L. Zhang and H. Gao, "Asynchronously switched control of switched linear systems with average dwell time," Automatica, vol. 46, no. 5, pp. 953-958, 2010. [DOI:10.1016/j.automatica.2010.02.021]
7. [7] B. Niu, X. Zhao, L. Zhang, and H. Li, "p‐Times differentiable unbounded functions for robust control of uncertain switched nonlinear systems with tracking constraints," International Journal of Robust and Nonlinear Control, vol. 25, no. 16, pp. 2965-2983, 2015. [DOI:10.1002/rnc.3243]
8. [8] J. P. Hespanha and A. S. Morse, "Stability of switched systems with average dwell-time," in Proceedings of the 38th IEEE conference on decision and control (Cat. No. 99CH36304), 1999, vol. 3, pp. 2655-2660: IEEE.
9. [9] X. Zhao, L. Zhang, P. Shi, and M. Liu, "Stability and stabilization of switched linear systems with mode-dependent average dwell time," IEEE Transactions on Automatic Control, vol. 57, no. 7, pp. 1809-1815, 2011. [DOI:10.1109/TAC.2011.2178629]
10. [10] L. Lin and Z. Liu, "State-estimation-based adaptive sliding mode control of uncertain switched systems: a novel linear sliding manifold approach," ISA transactions, vol. 111, pp. 47-56, 2021. [DOI:10.1016/j.isatra.2020.11.004]
11. [11] Y. Liu, T. Jia, Y. Niu, and Y. Zou, "Design of sliding mode control for a class of uncertain switched systems," International Journal of Systems Science, vol. 46, no. 6, pp. 993-1002, 2015. [DOI:10.1080/00207721.2013.803635]
12. [12] Y. Liu, Y. Niu, and Y. Zou, "Non-fragile observer-based sliding mode control for a class of uncertain switched systems," Journal of the Franklin Institute, vol. 351, no. 2, pp. 952-963, 2014. [DOI:10.1016/j.jfranklin.2013.09.020]
13. [13] J. Xie, S. Li, H. Yan, and D. Yang, "Model reference adaptive control for switched linear systems using switched multiple models control strategy," Journal of the Franklin Institute, vol. 356, no. 5, pp. 2645-2667,2019. [DOI:10.1016/j.jfranklin.2018.10.036]
14. [14] J. Xie, D. Yang, and J. Zhao, "Multiple model adaptive control for switched linear systems: A two‐layer switching strategy," International Journal of Robust and Nonlinear Control, vol. 28, no. 6, pp. 2276-2297, 2018. [DOI:10.1002/rnc.4015]
15. [15] S. Yuan, B. De Schutter, and S. Baldi, "Robust adaptive tracking control of uncertain slowly switched linear systems," Nonlinear Analysis: Hybrid Systems, vol. 27, pp. 1-12, 2018. [DOI:10.1016/j.nahs.2017.08.003]
16. [16] R. Xu, Z. Liu, and Y. Liu, "State-estimation-based adaptive sliding mode control for a class of uncertain time-delay systems: a new design," International Journal of Systems Science, vol. 53, no. 2, pp. 375-387, 2022. [DOI:10.1080/00207721.2021.1958024]
17. [17] M. A. Nojoumian, M. Ayati, and M. R. Zakerzadeh, "Bumpless stabilisation of uncertain switched positive linear systems under synchronous and asynchronous switching," International Journal of Systems Science, vol. 53, no. 2, pp. 363-374, 2022. [DOI:10.1080/00207721.2021.1954722]
18. [18] M. A. Nojoumian, M. Ayati, and M. R. Zakerzadeh, "Asynchronous bumpless stabilisation of uncertain switched linear positive systems with mixed time delay and L 1‐gain performance," IET Control Theory & Applications, vol. 16, no. 2, pp. 151-165, 2022. [DOI:10.1049/cth2.12212]
19. ]19[ محمدعلی باقرزاده، جعفر قیصری، جواد عسکری، محسن مجیری،"پایدارسازی مقاوم سیستمهای سوئیچینگ خطی با استفاده از فیدبک حالت مبتنی بر رویتگر و سیگنال سوئیچ با حداقل زمان اقامت مشخص"، مجله کنترل, جلد 8، شماره 4، ص 55-64، 1393.
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
