Control of input/output delayed and disturbed unstable plants

In this survey paper, different approaches to deal with input/output time delayed disturbed plants are considered. First, the classical Smith predictor and some of its modifications to deal with unstable and non-minimum phase plants are reviewed, being applied to single-input-single-output (SISO) plants. Then, combining the internal and external representation, a generalized dead-time compensator (DTC) is introduced. This new predictor provides a general solution for SISO plants, but fails when considering multi-input-multi-output (MIMO) plants, with different delays in each input/output channel. A detailed control design procedure is reviewed for these complex plants and some examples illustrate the controller design. Some suggestions for further improvements are also outlined.

[1]  Furong Gao,et al.  Analytical decoupling control strategy using a unity feedback control structure for MIMO processes with time delays , 2007 .

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

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

[4]  Tore Hägglund,et al.  Interactive tool for analysis of time-delay systems with dead-time compensators , 2006 .

[5]  E.F. Camacho,et al.  A unified approach to design dead-time compensators for stable and integrative processes with dead-time , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

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

[7]  Keqin Gu,et al.  Control of Dead- Time Processes , 2008 .

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

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

[10]  Tore Hägglund,et al.  An Industrial Dead-Time Compensating PI Controller , 1996 .

[11]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

[12]  Tore Hägglund,et al.  Advanced PID Control , 2005 .

[13]  Pedro Albertos,et al.  A new dead-time compensator to control stable and integrating processes with long dead-time , 2008, Autom..

[14]  T. Basar,et al.  Optimal rate control for high speed telecommunication networks , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[15]  Lihua Xie,et al.  Linear Quadratic Regulation for Discrete-Time Systems with Multiple Delays in Single Input Channel , 2008 .

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

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

[18]  Z. Artstein.  Linear systems with delayed controls: A reduction , 1982 .

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

[20]  Eduardo F. Camacho,et al.  A Smith predictive based MPC in a solar air conditioning plant , 2005 .

[21]  Huanshui Zhang,et al.  Linear quadratic tracking problem for discrete‐time systems with multiple delays in single input channel , 2010 .

[22]  Somanath Majhi,et al.  PID controller tuning for integrating processes. , 2010, ISA transactions.

[23]  Jaroslaw Figwer,et al.  Nonlinear system identification using memetic algorithms , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[24]  Wei Xing Zheng,et al.  A double two-degree-of-freedom control scheme for improved control of unstable delay processes , 2005 .

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

[26]  M. J. Grimble.  LQG controllers for discrete-time multivariable systems with different transport delays in signal channels , 1998 .

[27]  Jian Chu.  Application of a discrete optimal tracking controller to an industrial electric heater with pure delays , 1995 .

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

[29]  Julio E. Normey-Rico,et al.  On the explicit dead-time compensation for robust model predictive control , 2012 .

[30]  C. C. Hang,et al.  A new Smith predictor for controlling a process with an integrator and long dead-time , 1994, IEEE Trans. Autom. Control..

[31]  Tao Liu,et al.  Analytical design of two-degree-of-freedom control scheme for open-loop unstable processes with time delay , 2005 .

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

[33]  Piotr Arabas,et al.  Preliminary results on the Linux libpcap model identification , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

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

[35]  Guang-Ren Duan,et al.  $H_{\infty}$ Control of Discrete-Time Systems With Multiple Input Delays , 2007, IEEE Transactions on Automatic Control.

[36]  Zalman J. Palmor,et al.  On the design and properties of multivariable dead time compensators , 1983, Autom..

[37]  Marko Bacic,et al.  Model predictive control , 2003 .

[38]  Yu Zhang,et al.  Decoupling Smith Predictor Design for Multivariable Systems with Multiple Time Delays , 2000 .

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

[40]  M. Chidambaram,et al.  Enhanced Two-Degrees-of-Freedom Control Strategy for Second-Order Unstable Processes with Time Delay , 2006 .

[41]  Mrdjan Jankovic,et al.  Recursive predictor design for state and output feedback controllers for linear time delay systems , 2010, at - Automatisierungstechnik.

[42]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[43]  Tore Hägglund,et al.  Robust tuning procedures of dead-time conpensating controllers , 2001 .

[44]  Julio E. Normey-Rico,et al.  Improving the robustness of dead-time compensating PI controllers , 1997 .

[45]  Aleksandar Micic,et al.  On the modified Smith predictor for controlling a process with an integrator and long dead-time , 1999, IEEE Trans. Autom. Control..

[46]  Julio E. Normey-Rico,et al.  Control of integral processes with dead-time. Part 1: Disturbance observer-based 2DOF control scheme , 2002 .

[47]  Zhenyu Yang,et al.  Experimental modeling of a deoiling hydrocyclone system , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[48]  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).

[49]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[50]  Pedro Albertos,et al.  Predictor–observer-based control of systems with multiple input/output delays☆ , 2012 .

[51]  Eduardo F. Camacho,et al.  A unified approach to design dead-time compensators for stable and integrative processes with dead-time , 2002, IEEE Trans. Autom. Control..

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

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

[54]  Wim Michiels,et al.  Finite spectrum assignment of unstable time-delay systems with a safe implementation , 2003, IEEE Trans. Autom. Control..

[55]  M. Chidambaram,et al.  Enhanced Smith Predictor for Unstable Processes with Time Delay , 2005 .

[56]  Ramon Vilanova,et al.  PID Control in the Third Millennium , 2012 .

[57]  Wim Michiels,et al.  On the delay sensitivity of Smith Predictors , 2003, Int. J. Syst. Sci..

[58]  Tore Hägglund,et al.  Decoupler and PID controller design of TITO systems , 2006 .