Event-based control: A state-feedback approach

Event-based control aims at reducing the communication effort within a control loop by closing the feedback only after events have indicated a substantial control error. This paper presents a method to approximate a continuous state-feedback controller by an event-based controller with reduced communication effort such that the closed-loop system has a comparable performance. The relation between the event detector and the closed-loop behaviour shows that the approximation of the closed-loop performance can be made tight by appropriately choosing the threshold parameters used for the event generation. The main focus of this paper lies in the evaluation of the event-based method illustrated by its simulative and experimental application to a thermofluid process.

[1]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[2]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[3]  A. Anta,et al.  Self-triggered stabilization of homogeneous control systems , 2008, 2008 American Control Conference.

[4]  W. P. M. H. Heemels,et al.  Analysis of event-driven controllers for linear systems , 2008, Int. J. Control.

[5]  J.H. Braslavsky,et al.  Level Crossing Sampling in Feedback Stabilization under Data-Rate Constraints , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[6]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Systems with Data Dropouts and Delays , 2009, HSCC.

[7]  James Moyne,et al.  Using deadbands to reduce communication in networked control systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[8]  Xiaofeng Wang,et al.  State Based Self-triggered Feedback Control Systems with ℒ2 Stability , 2008 .

[9]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[10]  Alberto Isidori,et al.  Stabilizability by state feedback implies stabilizability by encoded state feedback , 2004, Syst. Control. Lett..

[11]  Karl Johan Åström,et al.  Event Based Control , 2008 .