Event-Triggered Control for Linear Descriptor Systems
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Event-Triggered Control for Linear Descriptor Systems Fang Cheng · Fei Hao
Received: 19 February 2012 / Revised: 28 August 2012 / Published online: 7 September 2012 © Springer Science+Business Media, LLC 2012
Abstract In this paper, event-triggered strategies for linear descriptor systems are presented. By studying the descriptor system in terms of the second equivalent form and employing the Lyapunov theory and linear matrix inequality (LMI) approach, the control law and event-triggered condition guaranteeing the admissible behavior of the descriptor system are proposed. Furthermore, we prove that the inter-sampling times are strictly positive in the proposed event-triggered condition. Finally, a simulation example is given to illustrate the efficiency of the results. Keywords Event-triggered control · Descriptor systems · Admissibility · Inter-sampling times
1 Introduction In event-triggered control, the scheduling algorithm is always implemented when a certain error exceeds a threshold. This is in contrast to the commonly used sampleddata control that is implemented in a periodic fashion. As an alternative to periodic control, event-triggered control can reduce the communication among the sensors, the controller and the actuators to some extent, so that the resource utilization of the F. Cheng · F. Hao () The Seventh Research Division, School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, P.R. China e-mail: [email protected] F. Cheng e-mail: [email protected] F. Cheng · F. Hao Science and Technology on Aircraft Control Laboratory, Beihang University, Beijing, 100191, P.R. China
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Circuits Syst Signal Process (2013) 32:1065–1079
whole system is improved. Some advantages of event-triggered control over periodic control presented in a stochastic setting can be seen in [1]. Recently, event-triggered control has received great interest from the academic community. Related work can be found in the following mentioned papers and the references therein. [12] investigated an event-triggered scheduler that is executed whenever a certain error becomes large enough with respect to the norm of the state. In [13], the authors examined a class of real time control systems and demonstrated that different sampling rates for a control system lead to different acceptable maximum delays. [14] extended the results of [13], in which the assumption that the magnitude of the process noise is bounded was relaxed. Except for a single system, eventtriggered control for multi-agent systems was considered, and the related work can be seen in [6, 7] and the references therein. In these references both centralized and decentralized event-triggered cooperative control were treated. Furthermore, in [10] model-based networked control systems and event-triggered control are united under a single framework. The authors provided a strategy that the control laws do not keep constant during the inter-sampling period, which distinguishes from the traditional event-triggered schemes. It is worth to me
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