A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 2 Issue 4
Oct.  2015

IEEE/CAA Journal of Automatica Sinica

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Article Contents
Pei Jia, Fei Hao and Hao Yu, "Function Observer Based Event-triggered Control for Linear Systems with Guaranteed L∞-Gain," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 394-402, 2015.
Citation: Pei Jia, Fei Hao and Hao Yu, "Function Observer Based Event-triggered Control for Linear Systems with Guaranteed L∞-Gain," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 394-402, 2015.

Function Observer Based Event-triggered Control for Linear Systems with Guaranteed L-Gain

Funds:

This work was supported by National Natural Science Foundation of China (61174057, 61573036) and Natural Science Foundation of Beijing (4112034). Recommended by Associate Editor Zhiyong Geng.

  • This paper is devoted to event-triggered control design for linear systems based on function observer. More specifically, the main purpose is to design event-triggered mechanisms that trigger transmissions when the difference between the current value of the system and its previously transmitted value which includes the plant output or the function observer output exceeds an additional threshold. For such an eventtriggered mechanism, we derive conditions in terms of matrix inequality to guarantee the stability as well as longer inter-event time. We propose two approaches to investigate the closed-loop model, namely, reformulating the event-triggered control system as a hybrid system and interpreting the event-induced error as exogenous disturbance. Furthermore, the minimum inter-event time is guaranteed to be strictly positive. An example is presented to illustrate the feasibility and efficiency of the theoretic results.

     

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  • [1]
    Chen T W, Francis B A. Optimal Sampled-Data Control Systems. London, U. K.: Springer, 1995.
    [2]
    AAström K J, Wittenmark B. Computer-Controlled Systems (Third edition). London, U. K.: Prentice Hall, 1997.
    [3]
    AAström K J, Bernhardsson B. Comparison of periodic and event based sampling for first-order stochastic systems. In: Proceedings of the 1999 IFAC World Conference. Beijing, China: 1999 IFAC, 1999. 301-306
    [4]
    Tabuada P. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Transactions on Automatic Control, 2007, 52(9): 1680-1685
    [5]
    Henningsson T, Johannesson E, Cervin A. Sporadic event-based control of first-order linear stochastic systems. Automatica, 2008, 44(11): 2890-2895
    [6]
    Velasco M, Martí P, Fuertes J M. The self triggered task model for real-time control systems. In: Proceedings of the 24th IEEE Real-Time Systems Symposium (RTSS WIP 2003). Cancun, Mexico: IEEE, 2003. 67-70
    [7]
    Anta A, Tabuada P. To sample or not to sample: self-triggered control for nonlinear systems. IEEE Transactions on Automatic Control, 2010, 55(9): 2030-2042
    [8]
    Wang X F, Lemmon M D. Self-triggered feedback control systems with finite-gain L2 stability. IEEE Transactions on Automatic Control, 2009, 54(3): 452-467
    [9]
    Lunze J, Lehmann D. A state-feedback approach to event-based control. Automatica, 2010, 46(1): 211-215
    [10]
    Mazo M J, Anta A, Tabuada P. An ISS self-triggered implementation of linear controllers. Automatica, 2010, 46(8): 1310-1314
    [11]
    Liu D, Hao F. Decentralized event-triggered control strategy in distributed networked systems with delays. International Journal of Control, Automation, and Systems, 2013, 11(1): 33-40
    [12]
    Kofman E, Braslavsky J H. Level crossing sampling in feedback stabilization under data-rate constraints. In: Proceedings of the 45th IEEE Conference on Decision and Control. San Diego, CA: IEEE, 2009. 4423-4428
    [13]
    Chen X, Hao F. Observer-based event-triggered control for certain and uncertain linear systems. IMA Journal of Mathematical Control and Information, 2013, 30(4): 527-542
    [14]
    Donkers M C F, Heemels W P M H. Output-based event-triggered control with guaranteed L-gain and improved and decentralized event-triggering. IEEE Transactions on Automatic Control, 2012, 57(6): 1362-1376
    [15]
    Goebel R, Sanfelice R G, Teel A R. Hybrid dynamical systems. IEEE Control Systems Magazine, 2009, 29(2): 28-93
    [16]
    Zhang J H, Zhao D Y, Wang D K. Observer-based control for linear system with event-triggered sensor. In: Proceedings of the 31st Chinese Control Conference. Hefei, China: IEEE, 2012. 5747-5752
    [17]
    Zheng D Z. Linear System Theory. Beijing: Tsinghua University Press, 2002. (in Chinese)
    [18]
    Velasco M, Marti P, Bini E. Control-driven tasks: modeling and analysis. In: Proceedings of the 29th IEEE Real-Time Systems Symposium. Barcelona, Spain: IEEE, 2008. 280-290

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