Guaranteed stable PID controller tuning rules for First-Order Dead-time Unstable Processes

An open-loop unstable process with dead-time is commonly encountered in process industry. A PID controller design that can provide both closed-loop stability and good performance-robustness tradeoffs is difficult to accomplish for the unstable process compared with that for the stable one. In this paper, a set of PID tuning rules for the First-Order Dead-time Unstable Process (FODUP) is proposed. These rules ensure the attainment of simultaneous closed-loop stability and good performance-robustness tradeoffs. Some correlations are also presented to facilitate with the setpoint pre-filter design for suppressing excessively high overshoot caused by a step change in the setpoint. Numerical studies confirm the effectiveness of the proposed rules.

[1]  Tore Hägglund,et al.  The future of PID control , 2000 .

[2]  C.-C. Chen,et al.  Control-system synthesis for open-loop unstable process with time delay , 1997 .

[3]  Karl J. Åström,et al.  Limitations on control system performance , 1997, 1997 European Control Conference (ECC).

[4]  Wen Tan,et al.  IMC design for unstable processes with time delays , 2003 .

[5]  Rames C. Panda,et al.  Synthesis of PID controller for unstable and integrating processes , 2009 .

[6]  Jin Hyun Park,et al.  An Enhanced PID Control Strategy for Unstable Processes , 1998, Autom..

[7]  Jobrun Nandong,et al.  Multi-loop design of multi-scale controllers for multivariable processes , 2014 .

[8]  M. Chidambaram,et al.  Set Point Weighted Pid Controllers For Unstable Systems , 2005 .

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

[10]  W. Ho,et al.  PID tuning for unstable processes based on gain and phase-margin specifications , 1998 .

[11]  M. O'Malley,et al.  Controllers of Ziegler-Nichols type for unstable process with time delay , 1989 .

[12]  Tore Hägglund,et al.  The future of PID control , 2000 .

[13]  J. Hahn,et al.  Handbook of PI and PID Controller Tuning Rules - [Book Review] , 2006, IEEE Control Systems.

[14]  A. Visioli.  Optimal tuning of PID controllers for integral and unstable processes , 2001 .

[15]  Jobrun Nandong.  A multi-scale control approach for PID controller tuning based on complex models , 2014 .

[16]  Jobrun Nandong,et al.  Novel Multiscale Control Scheme for Nonminimum-Phase Processes , 2013 .

[17]  Wenjian Cai,et al.  Advanced proportional-integral-derivative tuning for integrating and unstable processes with gain and phase margin specifications , 2002 .

[18]  Horng-Jang Liaw,et al.  Set-point weighted PID controller tuning for time-delayed unstable processes , 2008 .

[19]  M. Chidambaram,et al.  Design of P and PI controllers for unstable first-order plus time delay systems , 1994 .

[20]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[21]  Jobrun Nandong,et al.  High-performance multi-scale control scheme for stable, integrating and unstable time-delay processes , 2013 .

[22]  É. Poulin,et al.  PID tuning for integrating and unstable processes , 1996 .

[23]  Jeffrey E. Arbogast,et al.  Extension of IMC tuning correlations for non-self regulating (integrating) processes. , 2007, ISA transactions.