PID versus MPC Performance for SISO Dead-time Dominant Processes

Proportional-Integral-Derivative (PID) controllers are used extensively in the process industries for regulating single-input, single output (SISO) processes, with Model Predictive Controllers (MPC) typically being reserved for use on large scale systems. However, in recent years there has been suggestions that MPC may offer benefits when applied to SISO systems at the regulatory level. This paper compares the performance of PID and MPC when they are both applied to first and second order, SISO systems that contain a time delay. From the comparison it can be concluded that improved performance can be achieved by using MPC for, in some cases, very small time delays. Both PID and MPC are shown to be robust to plant-model mismatch.

[1]  Tore Hägglund,et al.  Performance comparison between PID and dead-time compensating controllers , 2002 .

[2]  Liuping Wang,et al.  A Tutorial on Model Predictive Control: Using a Linear Velocity‐Form Model , 2008 .

[3]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[4]  Aidan O'Dwyer,et al.  PID compensation of time delayed processes: a survey , 2000 .

[5]  G Valencia-Palomo,et al.  Programmable logic controller implementation of an auto-tuned predictive control based on minimal plant information. , 2011, ISA transactions.

[6]  J. A. Rossiter,et al.  Novel programmable logic controller implementation of a predictive controller based on Laguerre functions and multiparametric solutions , 2012 .

[7]  Hasan Erdal,et al.  Optimization of PID Controllers Using Ant Colony and Genetic Algorithms , 2013, Studies in Computational Intelligence.

[8]  I-Lung Chien,et al.  Simplified IMC-PID tuning rules , 1994 .

[9]  H. T,et al.  The future of PID control , 2001 .

[10]  Aidan O'Dwyer PI and PID controller tuning rule design for processes with delay, to achieve constant gain and phase margins for all values of delay , 2001 .

[11]  Tore Hägglund,et al.  Automatic Tuning of Pid Controllers , 1988 .

[12]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[13]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[14]  Biao Huang,et al.  Performance assessment of PID control loops subject to setpoint changes , 2011 .

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

[16]  A. O'Dwyer,et al.  PID compensation of time delayed processes 1998-2002: a survey , 2003, Proceedings of the 2003 American Control Conference, 2003..

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

[18]  Adrian Wills,et al.  Application of barrier function based model predictive control to an edible oil refining process , 2005 .

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

[20]  I-Lung Chien,et al.  Consider IMC Tuning to Improve Controller Performance , 1990 .

[21]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .