An internal model control approach to event-based control

In this work, an alternative event-based control configuration is presented. The proposal is based on the Internal Model Control (IMC) configuration. As a major difference with existing event-based controllers, the sampling is applied here to the uncertainty estimation signal as it is understood within the IMC scheme. The event generator is therefore based on the combination of a prediction structure and the symmetric send-on-delta (SSOD) sampling scheme. Stability and robustness analysis are conducted and it is shown that the robust stability constraint can be expressed in the same terms as the time-driven (non event-based) IMC. This suggests the idea of tuning the controller from a non event-based perspective and translate the resulting controller into its IMC equivalent for implementation purposes. Some examples are provided that show the effectiveness of the approach.

[1]  Roberto Sanchis Llopis,et al.  A new method for tuning PI controllers with symmetric send-on-delta sampling strategy. , 2016 .

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

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

[4]  Roberto Sanchis,et al.  Experimental study of event based PID controllers with different sampling strategies. Application to brushless DC motor networked control system , 2015, 2015 XXV International Conference on Information, Communication and Automation Technologies (ICAT).

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

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

[7]  Alberto Leva,et al.  Tuning of event-based industrial controllers with simple stability guarantees , 2013 .

[8]  A. Visioli,et al.  Characterization of symmetric send-on-delta PI controllers , 2012 .

[9]  Angel Ruiz,et al.  A unified event-based control approach for FOPTD and IPTD processes based on the filtered Smith predictor , 2017, J. Frankl. Inst..

[10]  Andreas Willig,et al.  Recent and Emerging Topics in Wireless Industrial Communications: A Selection , 2008, IEEE Transactions on Industrial Informatics.

[11]  Karl Henrik Johansson,et al.  Event-triggered PI control subject to actuator saturation , 2012 .

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

[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.

[14]  Lorenzo Marconi,et al.  Analysis and Design of Nonlinear Control Systems , 2008 .

[15]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[16]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

[17]  Manuel Mazo,et al.  Self-triggered control over wireless sensor and actuator networks , 2011, 2011 International Conference on Distributed Computing in Sensor Systems and Workshops (DCOSS).

[18]  Terrence L. Blevins.  PID Advances in Industrial Control , 2012 .

[19]  Willy Wojsznis,et al.  Event based control applied to wireless throttling valves , 2015, 2015 International Conference on Event-based Control, Communication, and Signal Processing (EBCCSP).

[20]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[21]  Volodymyr Vasyutynskyy,et al.  Event-based control: Overview and generic model , 2010, 2010 IEEE International Workshop on Factory Communication Systems Proceedings.

[22]  José Sánchez,et al.  A practical tuning methodology for event-based PI control , 2014 .

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

[24]  Mario Di Francesco,et al.  Energy conservation in wireless sensor networks: A survey , 2009, Ad Hoc Networks.

[25]  K. J. Astrom,et al.  Computer aided modeling, analysis and design of control systems - A perspective (Reprint; ibid, vol. 3, n. 2 83) [25 Years Ago] , 2008 .

[26]  Manuel Mazo,et al.  An ISS self-triggered implementation of linear controllers , 2009, Autom..

[27]  M. Morari,et al.  Internal model control: PID controller design , 1986 .