Volume 13, Issue 1 (Journal of Control, V.13, N.1 Spring 2019)                   JoC 2019, 13(1): 75-80 | Back to browse issues page

DOI: 10.29252/joc.13.1.75

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1- Yazd University
Abstract:   (1339 Views)
In this paper, we examine the design of a sliding mode control for stochastic systems with data packet losses. It is assumed that there is a network connection in the systemchr('39')s feedback loop and that part of the information may be lost during transmission. The innovation of this paper is to peresent a new method with better  performance In this paper, we first consider an estimated method to compensate for lost data. Then we define an integral sliding surface and design the slider surface controller. Using the Lyapunov method, we will show that this method (with square approximation) will be stable. In the end, numerical examples and simulation results with the help of the content software confirm the sustainability and effectiveness of the proposed method.
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Type of Article: Research paper | Subject: Special
Received: 2017/12/22 | Accepted: 2018/09/4 | Published: 2019/07/15

1. [1] Y. Niu and X. Wang, "Sliding mode control design for uncertain delay systems with partial actuator degradation," Int. J. Syst. Sci., vol. 40, pp. 403-409, 2009. [DOI:10.1080/00207720802436265]
2. [2] K.-C. Hsu, W.-Y. Wang, and P.-Z. Lin, "Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones," IEEE Trans. Syst., Man Cybern. B, vol. 34, no. 1, pp. 374-380, Feb. 2004. [DOI:10.1109/TSMCB.2003.817029]
3. [3] B .chen, Y . Niu, Y. Zou," Sliding mode control for stochastic Markovian jumping systems subject to successive packet losses", Journal of the Franklin institute ,Vol.351, pp 2169-2184, 2014 [DOI:10.1016/j.jfranklin.2012.10.004]
4. [4] L. Wu and J. Lam, "Sliding mode control of switched hybrid systems with time-varying delay," Int. J. Adaptive Control Signal Processing, vol. 22, pp. 909-931, 2008. [DOI:10.1002/acs.1030]
5. [5] L. Wu and W. Zheng, "Passivity-based sliding mode control of uncertain singular time-delay systems," Automatica, vol. 45, pp. 2120-2127, 2009. [DOI:10.1016/j.automatica.2009.05.014]
6. [6] S. Janardanan and B. Bandyopadhyay, "Discrete-time output feedback sliding mode control for time-delay systems with uncertainty," International Conference on Control Applications, Taipei, Taiwan, September 2-4, vol .2 , pp. 1358-1364,2004
7. [7] X. Chen, "Adaptive sliding mode control for discrete-time multi-input multi-output systems," Automatica, vol. 42, pp. 427-435, 2006. [DOI:10.1016/j.automatica.2005.10.008]
8. [8] K. Abidi, J.-X. Xu, and X. Yu, "On the discrete-time integral sliding-mode control," IEEE Transactions on Automatic Control, vol. 52, no. 4, pp. 709-715, Apr. 2007 [DOI:10.1109/TAC.2007.894537]
9. [9] F. Yang, Z. Wang, Y.S. Huang, M. Gani, "Robust H1 control with missing measurements and time delays", IEEE Transactions on Automatic Control Vol .52,pp 1666-1672 ,2007 [DOI:10.1109/TAC.2007.904250]
10. [10] F. Yang, Z. Wang, Y. S. Huang, and M. Gani, "Robust control with missing easurements and time delays," IEEE Transactions on Automatic Control,vol. 52, no. 9, pp. 1666-1672, Sep. 2007. [DOI:10.1109/TAC.2007.904250]
11. [11] G. C. Walsh and H. Ye, "Scheduling of networked control systems", IEEE Control Syst. Mag., vol. 21, pp. 57-65, 2001. [DOI:10.1109/37.898792]
12. [12] H. Gao and T. Chen, "estimation for uncertain systems with limited communication capacity," IEEE Trans. Autom. Control, vol. 52, no. 11, pp. 2070-2084, Nov. 2007. [DOI:10.1109/TAC.2007.908316]
13. [13] J. Xiong and J. Lam, "Stabilization of networked control systems with a logic ZOH," IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 358-363,Feb. 2009. [DOI:10.1109/TAC.2008.2008319]
14. [14] J. Xiong and J. Lam, "Stabilization of linear systems over networks with bounded packet loss," Automatica, vol. 43, pp. 80-87, 2007. [DOI:10.1016/j.automatica.2006.07.017]
15. [15] P. Seiler and P. Sengupta, "Analysis of communication losses in vehicle control problems", in Proc. Amer. Contr. Conf., Arlington, pp. 1491-1496, 2001.
16. [16]W. Zhang, L. Yu, " Output feedback stabilization of networked control systems with packet dropouts", IEEE Transactions on Automatic Control Vol.52 , pp.1705-1710 ,2007 [DOI:10.1109/TAC.2007.904284]
17. [17] W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked ontrol systems", IEEE Control Syst. Mag., vol. 21, pp. 84-99, 2001. [DOI:10.1109/37.898794]
18. [18] Z. Wang, D. W. C. Ho, F. Yang, and X. Liu, "Robust control for networked systems with random packet losses," IEEE Trans. Syst., Man Cybern. B, vol. 37, no. 4, pp. 916-924, Aug. 2007. [DOI:10.1109/TSMCB.2007.896412]
19. [19] Y. Niu, D.W.C. Ho, "Design of sliding mode control subject to packet losses," IEEE Transactions on Automatic Control, Vol.55, pp 2623-2628 , 2010. [DOI:10.1109/TAC.2010.2069350]
20. [20] T. Jia, Y. Niu and Y. Zou "Sliding mode control for stochastic systems subject to packet losses," An International Journal archive, Volume 217, December, 2012 Pages 117-126. [DOI:10.1016/j.ins.2012.06.020]
21. [21] - خسرو خاندانی، جوهری طهماسبی،" طراحی یک کنترل‌گر مد لغزشی برای سامانه‌های تصادفی کسری دارای تأخیر حالت" ،مجله کنترل، جلد 10، شماره 2، تابستان 95، صفحه 13 الی 22
22. [22] Boyd Stephen, Laurent El Ghaoui, Eric Feron and Venkataramanan Balakrishnan, " Linear Matrix Inequalities in Systems and Control Theory", Philadelphia, PA, USA, SIAM, 1994. [DOI:10.1137/1.9781611970777]