Unified approach for minimal output dead time compensation in MIMO processes

Abstract This paper presents the development of a unified dead-time compensator for multiple-input and multiple-output (MIMO) n  ×  n processes with multiple delays. The proposed structure is a generalization of the single-input and single-output (SISO) filtered Smith predictor (FSP) controller, therefore, as in the SISO case it can be used to control stable, integrating, and unstable dead-time processes. MIMO-FSP compensates the minimal output dead time and its tuning is simple and can be performed considering a trade-off between performance and robustness. Several simulation case studies are used in the paper to illustrate the use of the unified approach and also to compare the obtained solutions with some recent published results. Practical experiments using a neonatal intensive care unit prototype are also presented.

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

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

[3]  Chen Lin,et al.  Multivariable Smith Predictors Design for Nonsquare Plants , 2006, IEEE Transactions on Control Systems Technology.

[4]  Babatunde A. Ogunnaike,et al.  Multivariable controller design for linear systems having multiple time delays , 1979 .

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

[6]  Pedro Albertos,et al.  Dead-time-compensator for unstable MIMO systems with multiple time delays☆☆☆ , 2010 .

[7]  M. Chidambaram,et al.  Smith delay compensator for multivariable non-square systems with multiple time delays , 2006, Comput. Chem. Eng..

[8]  Vicenç Puig,et al.  MIMO Smith predictor: Global and structured robust performance analysis , 2009 .

[9]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[10]  Weidong Zhang,et al.  Improvement on an inverted decoupling technique for a class of stable linear multivariable processes. , 2007, ISA transactions.

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

[12]  S. Niculescu.  Delay Effects on Stability: A Robust Control Approach , 2001 .

[13]  D. Seborg,et al.  An extension of the Smith Predictor method to multivariable linear systems containing time delays , 1973 .

[14]  Min-Sen Chiu,et al.  Decoupling internal model control for multivariable systems with multiple time delays , 2002 .

[15]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

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

[17]  R. K. Wood,et al.  Terminal composition control of a binary distillation column , 1973 .

[18]  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).

[19]  W. H. Ray,et al.  High‐Performance multivariable control strategies for systems having time delays , 1986 .