Novel Multiscale Control Scheme for Nonminimum-Phase Processes

Nonminimum-phase (NMP) processes are frequently encountered in chemical plants, where the presence of right half-plane zeros and time delays often imposes limitations on the achievable control performance. In this article, a new multiscale control scheme for controlling NMP processes is introduced. The novelty of the proposed scheme is to decompose a given plant into a sum of basic factors/modes having distinct speeds of responses. Then, an individual subcontroller is specifically designed to control each of these plant modes. Finally, an overall multiscale controller is synthesized by combining all of the subcontrollers in a way that enhances good cooperation among the different modes, which is an essential feature for good control performance and robustness. Extensive numerical studies demonstrate that the proposed scheme can provide better nominal performance and performance robustness than some well-established control schemes.

[1]  O. J. M. Smith,et al.  A controller to overcome dead time , 1959 .

[2]  R. J. Altpeter,et al.  INVERSE RESPONSE IN PROCESS CONTROL , 1962 .

[3]  George Stephanopoulos,et al.  Chemical Process Control: An Introduction to Theory and Practice , 1983 .

[4]  John B. Moore,et al.  On adaptive minimum variance regulation for non-minimum phase plants , 1983, Autom..

[5]  Isaac Horowitz,et al.  Limitations of non-minimum-phase feedback systems† , 1984 .

[6]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[7]  Edward J. Davison,et al.  Performance limitations of non-minimum phase systems in the servomechanism problem, , 1993, Autom..

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

[9]  Ahmed Rachid,et al.  Analytical design of proportional-integral-derivative controllers for inverse response processes , 1998 .

[10]  Sunwon Park,et al.  PID controller tuning for integrating and unstable processes with time delay , 2000 .

[11]  B. Anderson,et al.  Multiple model adaptive control. Part 1: Finite controller coverings , 2000 .

[12]  Yong Zhang,et al.  Partial internal model control , 2001, IEEE Trans. Ind. Electron..

[13]  R. Vilanova,et al.  A refinement procedure for PID controller tuning , 2002 .

[14]  I-Lung Chien,et al.  Simple PID Controller Tuning Method for Processes with Inverse Response Plus Dead Time or Large Overshoot Response Plus Dead Time , 2003 .

[15]  Ping Wang,et al.  Relay Feedback Autotuning Method for Integrating Processes with Inverse Response and Time Delay , 2006 .

[16]  Wei Wang,et al.  Optimal design of PI/PD controller for non-minimum phase system , 2006 .

[17]  M. Chidambaram,et al.  Set point weighted modified Smith predictor with PID filter controllers for non-minimum-phase (NMP) integrating processes , 2010 .

[18]  Roberto Sanchis,et al.  Tuning of PID controllers based on simplified single parameter optimisation , 2010, Int. J. Control.

[19]  Julio E. Normey-Rico,et al.  Smith Predictor-Based Control Schemes for Dead-Time Unstable Cascade Processes , 2010 .

[20]  Hsiao-Ping Huang,et al.  A simple non‐minimum phase zero's predictor for open‐loop unstable processes , 2011 .

[21]  Jyh-Cheng Jeng,et al.  Robust Proportional-Integral-Derivative Controller Design for Stable/Integrating Processes with Inverse Response and Time Delay , 2012 .