On the Stability of an Event-based PI Controller for FOPDT processes

Abstract This paper deals with the stability of an event-based proportional-integral controller. In particular, necessary and sufficient conditions on the controller parameters for the existence of equilibrium points without limit cycles are given for a first-order-plus-dead-time process. Practical issues related to the controller implementation are also addressed. The presented conditions enable a simpler tuning of the controller. Simulation and experimental results are provided as illustrative examples.

[1]  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).

[2]  Antonio Visioli,et al.  Comparative study of event-based control strategies: An experimental approach on a simple tank , 2009, 2009 European Control Conference (ECC).

[3]  Christian Stöcker,et al.  Event-Based Control , 2014 .

[4]  Karl Henrik Johansson,et al.  Event-triggered strategies for industrial control over wireless networks , 2008, WICON.

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

[6]  José Sánchez Moreno,et al.  On the presence of equilibrium points in PI control systems with send-on-delta sampling , 2011, IEEE Conference on Decision and Control and European Control Conference.

[7]  V. Vasyutynskyy,et al.  Towards Comparison of Deadband Sampling Types , 2007, 2007 IEEE International Symposium on Industrial Electronics.

[8]  V. Vasyutynskyy,et al.  Limit cycles in PI control loops with absolute deadband sampling , 2008, 2008 18th International Crimean Conference - Microwave & Telecommunication Technology.

[9]  Karl-Erik Årzén,et al.  A simple event-based PID controller , 1999 .

[10]  Marek Miskowicz,et al.  Send-On-Delta Concept: An Event-Based Data Reporting Strategy , 2006, Sensors (Basel, Switzerland).

[11]  A. Visioli,et al.  A two-degree-of-freedom PI controller based on events , 2011 .

[12]  Karl Johan Åström,et al.  Oscillations in Systems with Relay Feedback , 1993 .

[13]  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.