Volume 16, Issue 2 (Journal of Control, V.16, N.2 Summer 2022)                   JoC 2022, 16(2): 11-24 | Back to browse issues page

XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Yavari R, Shamaghdari S, Sadeghzadeh A. Robust H2 switching gain-scheduled controller design for switched uncertain LPV systems. JoC 2022; 16 (2) :11-24
URL: http://joc.kntu.ac.ir/article-1-847-en.html
1- Iran University of Science and Technology
2- Shahid Beheshti University
Abstract:   (1453 Views)
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even under controller switching determined by scheduling parameters. Hysteresis switching law is exploited for the switching controller synthesis. The system matrices are supposed to depend polynomially on both the scheduling and uncertain parameters which are assumed to belong to intervals with a priori known bounds. The proposed approach is formulated in terms of solutions to a set of parameter-dependent LMIs using parameter searches for two scalar values. Finally, the method is applied to electromagnetic suspension system to verify the applicability of the presented approach.
Full-Text [PDF 832 kb]   (72 Downloads)    
Type of Article: Research paper | Subject: Special
Received: 2021/03/9 | Accepted: 2022/01/7 | ePublished ahead of print: 2022/04/13

References
1. W. J. Rugh and J. S. Shamma, "Research on gain scheduling," Automatica, vol. 36, no. 10, pp. 1401-1425, 2000. [DOI:10.1016/S0005-1098(00)00058-3]
2. C. Hoffmann and H. Werner, "A Survey of linear parameter-varying control applications validated by experiments or high-fidelity simulations," IEEE Transactions on Control Systems Technology, vol. 23, pp. 416-433, 2015. [DOI:10.1109/TCST.2014.2327584]
3. J. Mohammadpour and C. W. Scherer, Control of Linear Parameter Varying Systems with Applications, New York: Springer-Verlag, 2012. [DOI:10.1007/978-1-4614-1833-7]
4. B. Sereni, E. Assuncao, and M. C. M. Teixeira, "New gain-scheduled static output feedback controller design strategy for stability and transient performance of LPV systems," IET Control Theory and Applications, vol. 14, pp. 717-725, March 2020. [DOI:10.1049/iet-cta.2019.0259]
5. M. L. Peixoto, P. S. Coutinho, R. M. Palhares, "Improved robust gain-scheduling static output feedback control for discrete-time LPV systems," vol. 58, , pp. 11-16, 2021. [DOI:10.1016/j.ejcon.2020.12.006]
6. W. Xie, "Multi‐objective H2/L2 performance controller synthesis for LPV systems," Asian Journal of Control, vol. 14, no. 5, pp. 1273-1281, 2012. [DOI:10.1002/asjc.429]
7. J. D. Caigny, J. F. Camino, R. C. L. F. Oliveira, P. L. D. Peres, and J. Swevers, "Gain-scheduled H2 and H∞ control of discrete-time polytopic time-varying systems," IET Control Theory Applications, vol. 4, no. 3, pp. 362-380, 2010. [DOI:10.1049/iet-cta.2008.0364]
8. J. De Caigny, J. F. Camino, R. C. L. F. Oliveira, P. L. D. Peres, and J. Swevers,"Gain-scheduled dynamic output feedback control for discrete-time LPV systems," International Journal of Robust and Nonlinear Control, vol. 22, no. 5, pp. 535-558, 2012.. [DOI:10.1002/rnc.1711]
9. A. Sadeghzadeh, "Gain-scheduled static output feedback controller synthesis for discrete-time LPV systems," International Journal of Systems Science, vol. 48, no. 14, pp. 2936-2947, 2017. [DOI:10.1080/00207721.2017.1365967]
10. A. P. Pandey and M. C. de Oliveira, "Discrete-time H∞ control of linear parameter-varying systems," International Journal of Control, vol. 92, no. 12, pp. 2750-2760, 2019. [DOI:10.1080/00207179.2018.1459855]
11. C. Yuan, C. Duan, and F. Wu, "Almost output regulation of LFT systems via gain‎‎-‎scheduling control," International Journal of Control, vol. 91, pp. 1161-1170, 2018. [DOI:10.1080/00207179.2017.1309573]
12. T. He, G.G. Zhu, S.S.M. Swei, and W. Su, "Smooth-switching LPV control for vibration suppression of a flexible airplane wing," Aerospace Science and Technology; vol. 84, pp. 895-903, 2019. [DOI:10.1016/j.ast.2018.11.029]
13. V. Veselý and A. Ilka, "Design of robust gain-scheduled PI controllers," Journal of the Franklin Institute, vol. 352, no. 4, pp. 1476-1494, 2015. [DOI:10.1016/j.jfranklin.2015.01.009]
14. V. Veselý and A. Ilka "Generalized robust gain-scheduled PID controller design for affine LPV systems with polytopic uncertainty," Systems and control letters, vol. 105, pp. 6-13, 2017. [DOI:10.1016/j.sysconle.2017.04.005]
15. A. Ilka and T. Mckelvey, "Robust discrete-time gain-scheduled guaranteed cost PSD controller design," Proc. International Conference on Process Control (PC), Strbske Pleso, Slovakia, pp. 54-59, 2017. [DOI:10.1109/PC.2017.7976188]
16. M. Sato and D. Peaucelle, "Gain-scheduled output-feedback controllers using inexact scheduling parameters for continuous-time LPV systems," Automatica, vol. 49, no. 4, pp. 1019-1025, 2013. [DOI:10.1016/j.automatica.2013.01.034]
17. A. Sadeghzadeh, "On exploiting inexact scheduling parameters for gain-scheduled control of linear parameter-varying discrete-time systems," Systems and Control Letters, vol. 117, pp. 1 - 10, 2018. [DOI:10.1016/j.sysconle.2018.04.012]
18. A. Sadeghzadeh, "Gain-scheduled continuous-time control using polytope-bounded inexact scheduling parameters," International Journal of Robust and Nonlinear Control, vol. 28, no. 17, pp. 5557-5574, 2018. [DOI:10.1002/rnc.4333]
19. R. Yavari, A. Sadeghzadeh, and S. Shamaghdari, "Comments on 'Improved synthesis conditions for mixed H2/H∞ gain-scheduling control subject to uncertain scheduling parameters'," International Journal of Control, vol. 94, pp. 804-806, 2021. [DOI:10.1080/00207179.2019.1617900]
20. R. Yavari, A. Sadeghzadeh, and S. Shamaghdari, "Improved multiobjective H2/H∞ switching gain-scheduled controller synthesis exploiting inexact scheduling parameters," International Journal of Robust and Nonlinear Control, vol. 30, pp. 7706-7730, 2020. [DOI:10.1002/rnc.5203]
21. S. Wang, H. Pfifer, and P. Seiler, "Robust synthesis for linear parameter varying systems using integral quadratic constraints," Automatica, vol. 68, pp. 111-118, 2016. [DOI:10.1016/j.automatica.2016.01.053]
22. T. E. Rosa, C. F. Morais, and R. C. Oliveira, "H∞ output-feedback gain-scheduled control for discrete-time linear systems affected by time-varying parameters," IFAC-PapersOnLine, 20th IFAC World Congress, vol. 50, no. 1, pp. 8618 - 8623, 2017. [DOI:10.1016/j.ifacol.2017.08.2465]
23. A. Sadeghzadeh, "LMI relaxations for robust gain-scheduled control of uncertain linear parameter varying systems," IET Control Theory and Applications, vol. 13, pp. 486-495, 2018. [DOI:10.1049/iet-cta.2018.5373]
24. D. Rotondo, F. Nejjari, and V. Puig, "Robust state-feedback control of uncertain LPV systems: An LMI-based approach," Journal of the Franklin Institute, vol. 351, no. 5, pp. 2781-2803, 2014. [DOI:10.1016/j.jfranklin.2014.01.018]
25. C. Yuan, F. Wu, "Hybrid control for switched linear systems with average dwell time," IEEE Transactions on Automatic Control, vol. 60, no. 1, pp. 240-245, 2015. [DOI:10.1109/TAC.2014.2322941]
26. D . Yang, J. Zhao, "H∞ bumpless transfer for switched LPV systems and its application," International Journal of Control,vol. 92, pp. 1500-1508, 2019. [DOI:10.1080/00207179.2017.1421774]
27. D. Yang, G . Zong, S. K. Nguang, "H∞ bumpless transfer reliable control of Markovian switching LPV systems subject to actuator failures," Information Sciences, vol. 512, pp. 431-445, 2020. [DOI:10.1016/j.ins.2019.07.059]
28. C. M. Agulhari, R. C. L. F. de Oliveira, and P. L. D. Peres, "Robust LMI Parser: a computational package to construct LMI conditions for uncertain systems," Proc. XIX Brazilian Conference on Automation (CBA 2012), Campina Grande, PB, Brazil, pp. 2298-2305, 2012.
29. MOSEK ApS, "The MOSEK optimization toolbox for MATLAB manual. Version 7.1 (Revision 28)", 2015.
30. J. Löfberg, "YALMIP: A Toolbox for Modeling and Optimization in MATLAB," Proc.‎ CACSD Conference, 2004.
31. P. K. Sinha, A. N. Pechev, "Nonlinear H∞ controllers for electromagnetic suspension systems," IEEE Transactions on Automatic Control, vol. 49, no. 4, pp. 563-568, 2004. [DOI:10.1109/TAC.2003.822865]
32. X. Su, X. Yang, P. Shi, L. Wu, "Fuzzy control of nonlinear electromagnetic suspension systems," Mechatronics, vol. 24, no. 4, pp. 328-335, 2014. [DOI:10.1016/j.mechatronics.2013.08.002]
33. AK. Al-Jiboory, GG. Zhu, "Static output-feedback robust gain-scheduling control with guaranteed H2 performance," Journal of The Franklin Institute, vol. 335, pp. 2221-2242, 2018. [DOI:10.1016/j.jfranklin.2017.12.037]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2022 CC BY-NC 4.0 | Journal of Control

Designed & Developed by : Yektaweb