A unified event-based control approach for FOPTD and IPTD processes based on the filtered Smith predictor

Abstract A new unified design of an event-based PID control architecture for self-regulating and integral processes is investigated in this work. The design is based on the symmetrical-send-on-delta (SSOD) sampling technique and on the filtered Smith predictor (FSP). In particular, the conditions to achieve robust stability to limit cycles are studied from the point of view of the filter parameters through the describing functions theory. In this context, a simple frequency domain-based tuning methodology to address the cases of first-order-plus-dead-time and integrator-plus-dead-time processes is proposed. With this method, the properties of the filter parameters are also explored to cope with the set-point tracking and the load disturbance rejection tasks. The effectiveness of the general approach is evaluated by simulations and experimental tests.

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

[2]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[3]  Arthur Gelb,et al.  Multiple-Input Describing Functions and Nonlinear System Design , 1968 .

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

[5]  Angel Ruiz,et al.  Characterization and tuning of predictive SSOD-PI controllers , 2015, 2015 23rd Mediterranean Conference on Control and Automation (MED).

[6]  Brian Armstrong,et al.  PID control in the presence of static friction: A comparison of algebraic and describing function analysis , 1996, Autom..

[7]  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.

[8]  Antonio Visioli,et al.  Characterization of limit cycles for self-regulating and integral processes with PI control and send-on-delta sampling , 2013 .

[9]  Antonio Visioli,et al.  Tuning of symmetric send-on-delta proportional–integral controllers , 2014 .

[10]  Sebastián Dormido,et al.  MUESTREO, CONTROL Y COMUNICACIÓN BASADOS EN EVENTOS , 2008 .

[11]  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).

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

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

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

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

[16]  Patrick J. Vincent,et al.  Energy conservation in wireless sensor networks , 2007 .

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

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

[19]  José Sánchez,et al.  On the Application of Different Event-Based Sampling Strategies to the Control of a Simple Industrial Process , 2009, Sensors.

[20]  Antonio Visioli.  Event-based PID control , 2018, 2018 IEEE 16th World Symposium on Applied Machine Intelligence and Informatics (SAMI).

[21]  Eduardo F. Camacho,et al.  Unified approach for robust dead-time compensator design , 2009 .

[22]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[23]  José Sánchez Moreno,et al.  Event-Based PI Plus Feedforward Control Strategies for a Distributed Solar Collector Field , 2014, IEEE Transactions on Control Systems Technology.

[24]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[25]  Aidan O'Dwyer,et al.  Handbook of PI and PID controller tuning rules , 2003 .

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

[27]  Antonio Visioli,et al.  Closed-Loop Automatic Tuning Technique for an Event-Based PI Controller , 2015 .

[28]  ArmstrongBrian,et al.  PID control in the presence of static friction , 1996 .

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

[30]  Sigurd Skogestad,et al.  Simple analytic rules for model reduction and PID controller tuning , 2003 .

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

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

[33]  Sebastián Dormido,et al.  Control Basado en Eventos de Sistemas de Primer Orden Con Retardo , 2013 .

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

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