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:: Volume 11, Issue 3 (Journal of Control, V.11, N.3 Fall 2017) ::
JoC 2017, 11(3): 13-24 Back to browse issues page
Event-Triggered based Sliding Mode Control of Uncertain Linear Systems
Farzad Zarei Mr1, Mohammad Hossein Shafiei Dr *2, Akbar Rahideh Dr3
1- MSc Student
2- Assistant Professor
3- Associate Professor
Abstract:   (499 Views)

This paper presents the implementation of the event-triggered technique on sliding mode control (SMC) method in the case of linear systems with bounded uncertainty. Event-triggered technique is a scheduling strategy to reduce the number of control updates in a feedback loop. The Main contribution of this paper is to implement event-triggered SMC on the linear multi-input linear systems with parameter uncertainties. Although the chattering is inevitable in SMC, to tackle this phenomenon, hysteresis bounds are offered to reduce the frequency of control updates; nevertheless it induces a limit cycle. By updating control law at hysteresis boundaries, as the event-triggering rule, system finally ends to limit cycle. Another contribution of this paper is to reduce the amplitude of this limit cycle according to the variable control input, while guaranteeing no request for successive control updates too. In this paper by properly designing dynamic control law and hysteresis bands based on state trajectory, as the system moves towards the stable point, its amplitude decreases and the limit cycle amplitude fades accordingly. This method is illustrated by an example of linear system with uncertainty in the system matrix. Simulation results depict the applicability of SMC combination with the event-triggered technique.

Keywords: Sliding mode control, hysteresis band, event-triggered method, inter-execution time, triggering rule, accumulation point
Full-Text [PDF 862 kb]   (131 Downloads)    
Type of Study: Research | Subject: Special
Received: 2016/09/12 | Accepted: 2017/07/27 | Published: 2017/09/5
1. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Transactions on, Automatic Control, vol. 52, no. 9, pp.1680-1685.2007.
2. M. Mazo, A. Anta and P. Tabuada, "An ISS self-triggered implementation of linear controllers," Automatica, vol. 46, no.8, pp. 1310-1314, 2010. [DOI:10.1016/j.automatica.2010.05.009]
3. M. Velasco, J. M. Fuertes, C. Lin, P.Marti and S.Brandt, "A control approach to bandwidth management in networked control systems," In: The 30th Annual Conference of the IEEE Industrial Electronics Society (IECON 2004), pp.2343-2348.2004. [DOI:10.1109/IECON.2004.1432166]
4. R. Postoyan, P.Tabuada, D. Nešić and A. Anta, "Event-triggered and self-triggered stabilization of distributed networked control systems," In: 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), pp. 2565-2570.2011. [DOI:10.1109/CDC.2011.6160795]
5. X. Wang and M. D. Lemmon, "Asymptotic stability in distributed event-triggered networked control systems with delays," In: American Control Conference (ACC 2010), pp. 1362-1367, 2010. [DOI:10.1109/ACC.2010.5530426]
6. X. Chen and F. Hao, "Periodic event-triggered state-feedback and output-feedback control for linear systems," International Journal of Control, Automation, and Systems, vol.13, no.4, pp.1-9, 2015. [DOI:10.1007/s12555-013-0318-z]
7. سجاد موسی پور، قاسم علیزاده، سهراب خان محمدی، « طراحی قانون هدایت بهینه مقاوم سه بعدی برای موشک با استفاده از کنترل مد لغزشی و کنترل SDRE»، مجله کنترل، دوره 6، شماره 2، صفحات 55-64، 1391.
8. وحید بهنام گل ، ایمان محمد زمان ، احمد رضا ولی ، نعمت ا.... قهرمانی، «طراحی قانون هدایت با استفاده از کنترل مد لغزشی مرتبه دوم زمان محدود»، مجله کنترل، دوره ۵، شماره 3، صفحات 36-44، 1390.
9. C. Edwards and S. K. Spurgeons, "Sliding mode control: theory and applications," CRC Press, Taylor and Francis Group, 1998.
10. K. D. Young, V. Utkin and U. Ozguner, "A control engineer's guide to sliding mode control," IEEE Transactions on Control Systems Technology, vol.7, no.3, pp. 328-342, May 1992. [DOI:10.1109/87.761053]
11. H. Lee, V. Utkin, "Chattering suppression methods in sliding mode control systems," Annual Reviews in Control, vol.31, no.2, pp. 179-188, 2007. [DOI:10.1016/j.arcontrol.2007.08.001]
12. P. Marti, M. Velasco, A. Camacho, E. X. Martin, J. M. Fuertes,"Networked sliding mode control of the double integrator system using the event-driven self-triggered approach," In: IEEE International Symposium on Industrial Electronics (ISIE), 2011. [DOI:10.1109/ISIE.2011.5984472]
13. A. K. Behera, et al., "Event-triggered sliding mode control for robust stabilization of linear multivariable systems," Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics, Springer International Publishing, pp. 155-175, 2015. [DOI:10.1007/978-3-319-18290-2_8]
14. A. K. Behera and B. Bandyopadhyay, "Decentralized event-triggered sliding mode control," In the proceedings of 10th Asian Control conference (ASCC), pp. 1-5, May 2015. [DOI:10.1109/ASCC.2015.7244691]
15. A. K. Behera and B. Bandyopadhyay, "Event-triggered sliding mode control for a class of nonlinear systems," international Journal of control, vol.89, no.9, pp. 1916-1931, 2016.
16. S. P. Bhat and D. S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM Journal on Control and Optimization, vol.38, no.3, pp. 751-766. 2000. [DOI:10.1137/S0363012997321358]
17. L. Leithold, "The Calculus with Analytic Geometry". Harper & Row, Vol.1. 1972
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zarei F, Shafiei M H, Rahideh A. Event-Triggered based Sliding Mode Control of Uncertain Linear Systems. JoC. 2017; 11 (3) :13-24
URL: http://joc.kntu.ac.ir/article-1-404-en.html

Volume 11, Issue 3 (Journal of Control, V.11, N.3 Fall 2017) Back to browse issues page
مجله کنترل Journal of Control
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