Analytical H∞ design for a Smith-type inverse-response compensator

In this paper a control configuration for inverse-response processes is presented. It results in a Smith-type predictor scheme that aims to put the non-minimum phase dynamics out of the feedback loop. The design is carried out analytically by solving an H∞ weighted optimization problem assuming a second order stable process with one positive zero. The performance of the proposed control configuration is compared by simulation with two different approaches to show its applicability.

[1]  F. Greg Shinskey.  Process-control systems: Application, design, adjustment , 1979 .

[2]  Youxian Sun,et al.  Quantitative Performance Design for Inverse-Response Processes † , 2000 .

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

[4]  M. Vidyasagar.  Control System Synthesis : A Factorization Approach , 1988 .

[5]  R. Oppermann,et al.  Complex variable and operational calculus with technical applications: by N. W. McLachlan. 355 pages, illustrations, 15 × 22 cms.New York, The Macmillan Company, 1939.Price $6.50 , 1939 .

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

[7]  Brian D. O. Anderson,et al.  I design to generalize internal model control , 2006, Autom..

[8]  R. Vilanova,et al.  Control configuration for inverse response processes , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[9]  R. Vilanova,et al.  A 2DOF H∞ robust tracking design for a special type of observed state feedback controllers , 2008, 2008 47th IEEE Conference on Decision and Control.

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

[11]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[12]  Kurt V. T. Waller,et al.  On Inverse Repsonse in Process Control , 1975 .

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

[14]  Mathukumalli Vidyasagar,et al.  Control System Synthesis , 1985 .

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

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

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

[18]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .