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Volume 2 Issue 4
Oct.  2015

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2015  >  2(4): 394-402
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.
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Function Observer Based Event-triggered Control for Linear Systems with Guaranteed L∞-Gain

  • Seventh Research Division, School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China, and also with the Science and Technology on Aircraft Control Laboratory, Beijing 100191, China

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.

    Abstract
  • 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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