A Dynamic Event-Triggered Rule for a Control System

In this article, we summarize several types of event-triggered methods that have been proposed in the literature, and propose a new class of dynamic event-triggered method for a control system. Stability of the system after adding new dynamic variables is proved, and the influence of parameter selection on system control performance is discussed. In addition, the average sampling interval and performance of different event-triggered methods are considered in the case of ensuring the same Lyapunov function decay rate. We discuss the event-triggered rules both in linear and nonlinear control system. Finally, we provide some simulation examples to verify the theoretical results.

[1]  Neil Genzlinger.  A. and Q , 2006 .

[2]  Marek Miskowicz,et al.  Asymptotic Effectiveness of the Event-Based Sampling according to the Integral Criterion , 2007, Sensors (Basel, Switzerland).

[3]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[4]  Francisco Rodríguez,et al.  The influence of event-based sampling techniques on data transmission and control performance , 2009, 2009 IEEE Conference on Emerging Technologies & Factory Automation.

[5]  Enrico Bini,et al.  On Lyapunov sampling for event-driven controllers , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[6]  S. Durand,et al.  Simple Lyapunov Sampling for Event-Driven Control , 2011 .

[7]  W. Marsden.  I and J , 2012 .

[8]  Paulo Tabuada,et al.  An introduction to event-triggered and self-triggered control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[9]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[10]  J. Martínez,et al.  Lyapunov event-triggered control: a new event strategy based on the control , 2013 .

[11]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[12]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..

[13]  Gang Feng,et al.  Observer-Based Output Feedback Event-Triggered Control for Consensus of Multi-Agent Systems , 2014, IEEE Transactions on Industrial Electronics.

[14]  Marek Miskowicz,et al.  Event-based sampling strategies in networked control systems , 2014, 2014 10th IEEE Workshop on Factory Communication Systems (WFCS 2014).

[15]  Eduardo D. Sontag,et al.  Input to State Stability , 2019, Encyclopedia of Systems and Control.

[16]  Antoine Girard,et al.  Dynamic Triggering Mechanisms for Event-Triggered Control , 2013, IEEE Transactions on Automatic Control.

[17]  W. P. M. H. Heemels,et al.  Dynamic event-triggered control with time regularization for linear systems , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).