Tuning rules for unstable dead-time processes

Abstract Despite many advances in the field of dead-time compensators (DTCs) for unstable first-order plus dead-time (UFOPDT) processes, the tuning, in general, is manually carried out. Therefore, this paper proposes simple tuning rules for a DTC intended to UFOPDT processes. The rules are based on the relative dead time, desired closed-loop time constant, and achievable robustness. Besides, as the practical implementation is always in the discrete-time domain, a method to choose the sampling period for UFOPDT processes is presented. Four simulation examples from the literature are used to show the advantages of the proposed method. In addition, an experiment with a propeller pendulum is performed to confirm such advantages in the control of a real unstable process with dead time.

[1]  Miroslav R. Mataušek,et al.  PID controller frequency-domain tuning for stable, integrating and unstable processes, including dead-time , 2011 .

[2]  Bharat Verma,et al.  Robust Fine Tuning of Optimal PID Controller With Guaranteed Robustness , 2020, IEEE Transactions on Industrial Electronics.

[3]  Mikulás Huba.  Some practical issues in the smith predictor design for FOTD systems , 2017, 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT).

[4]  Mekki Ksouri,et al.  Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System , 2014, Int. J. Autom. Comput..

[5]  J. E. Normey-Rico,et al.  Simple Tuning Rules for Dead-Time Compensation of Stable, Integrative, and Unstable First-Order Dead-Time Processes , 2013 .

[6]  Eduardo F. Camacho,et al.  Control of dead-time processes , 2007 .

[7]  Hongyu Tian,et al.  Predictor based 2DOF control design for inverse response processes with time delay , 2018, 2018 33rd Youth Academic Annual Conference of Chinese Association of Automation (YAC).

[8]  Igor Belai,et al.  Limits of a simplified controller design based on integral plus dead time models , 2018, J. Syst. Control. Eng..

[9]  Mikulás Huba,et al.  Experimenting with modified smith predictors using B&R automation studio target for simulink , 2012, PDeS.

[10]  Multi control scheme with modified Smith predictor for unstable first order plus time delay system , 2018, Ain Shams Engineering Journal.

[11]  Pedro Albertos,et al.  Robust control design for long time-delay systems , 2009 .

[13]  Qing-Guo Wang,et al.  A comparative study on control of unstable processes with time delay , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

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

[15]  Bismark C Torrico,et al.  Tuning of a dead-time compensator focusing on industrial processes. , 2018, ISA transactions.

[16]  Tao Liu,et al.  Discrete-time domain two-degree-of-freedom control design for integrating and unstable processes with time delay. , 2016, ISA transactions.

[17]  Pedro García,et al.  Event-triggered predictor-based control with gain-Scheduling and extended state observer for networked control systems , 2019, Inf. Sci..

[18]  Julio E. Normey-Rico,et al.  2DOF discrete dead-time compensators for stable and integrative processes with dead-time , 2005 .

[19]  Tito L M Santos,et al.  New simple approach for enhanced rejection of unknown disturbances in LTI systems with input delay. , 2019, ISA transactions.

[20]  M. Chidambaram,et al.  Control of Unstable Bioreactor with Dominant Unstable Zero , 2003 .

[21]  Thiago A. Lima,et al.  A practical solution for the control of time-delayed and delay-free systems with saturating actuators , 2020, Eur. J. Control.

[22]  Bismark Claure Torrico,et al.  Simplified dead-time compensator for multiple delay SISO systems. , 2016, ISA transactions.

[23]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .

[24]  Franck Plestan,et al.  Discrete predictor-based event-triggered control of networked control systems , 2019, Autom..

[25]  Masami Ito,et al.  A process-model control for linear systems with delay , 1981 .

[26]  Eduardo F. Camacho,et al.  Dead-time compensators: A survey , 2008 .

[27]  Julio E. Normey-Rico,et al.  A Linear Parameter Varying Approach for Robust Dead-Time Compensation , 2019 .

[28]  Mikulás Huba,et al.  Laboratory Experiments for Robust Constrained UAVs Control , 2013, ACE.

[29]  Pedro Albertos,et al.  Robust tuning of a generalized predictor-based controller for integrating and unstable systems with long time-delay , 2013 .

[30]  R Sanz,et al.  A generalized smith predictor for unstable time-delay SISO systems. , 2017, ISA transactions.

[31]  Julio E. Normey-Rico,et al.  An automatic tuning methodology for a unified dead-time compensator , 2014 .

[32]  Antonio Visioli,et al.  Optimal tuning rules for proportional-integral-derivative and fractional-order proportional-integral-derivative controllers for integral and unstable processes , 2012 .

[33]  Julio E. Normey-Rico,et al.  Dealing with noise in unstable dead-time process control , 2010 .

[34]  Tore Hägglund,et al.  Control of unstable non-minimum-phase delayed systems , 2006 .

[35]  Mikuláš Huba,et al.  Experimenting with the Modified Filtered Smith Predictors for FOPDT Plants , 2011 .