Control of Multi Delayed Plants: Recycling CSTR

This paper deals with the control of simple process models where multiple delays appear. These delays can be input, output or state delays. For the case of input/output delays, a general solution is provided. For state delays, some restrictions in the model should be fulfilled to find a simple solution. The proposed algorithms are suggested to be applied to the control of a continuous stirred tank reactor (CSTR).

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

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

[3]  Rifat Sipahi,et al.  An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems , 2002, IEEE Trans. Autom. Control..

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

[5]  Costas J. Spanos,et al.  Advanced process control , 1989 .

[6]  Fouad Teymour,et al.  Dynamics of semibatch polymerization reactors: I. Theoretical analysis , 1997 .

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

[8]  P. Albertos,et al.  Self-oscillating and chaotic behaviour of a PI-controlled CSTR with control valve saturation , 2004 .

[9]  Bill Curtis,et al.  Process modeling , 1992, CACM.

[10]  William L. Luyben,et al.  Process Modeling, Simulation and Control for Chemical Engineers , 1973 .

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

[12]  K. S. Smith,et al.  Time domain simulation of cycloconverter-fed variable speed AC drives with closed-loop control , 1994 .

[13]  R. Lozano,et al.  RESETTING SMITH PREDICTOR FOR THE CONTROL OF UNSTABLE SYSTEMS WITH DELAY , 2002 .

[14]  Huijun Gao,et al.  New Results on Stability of Discrete-Time Systems With Time-Varying State Delay , 2007, IEEE Transactions on Automatic Control.

[15]  Sabine Mondié,et al.  Frequency stability analysis of linear systems with general distributed delays , 2007 .

[16]  M. Soroush.  Nonlinear state-observer design with application to reactors , 1997 .

[17]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .

[18]  Stephanopoulos.  Chemical Process Control , 2008 .

[19]  Qing-Chang Zhong,et al.  Robust Control of Time-delay Systems , 2006 .

[20]  W. H. Ray,et al.  The dynamic behavior of continuous solution polymerization reactors—IV. Dynamic stability and bifurcation analysis of an experimental reactor , 1989 .

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

[22]  D. R. Coughanowr,et al.  Process systems analysis and control , 1965 .

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