Generic Model Control — The Basics

The basic concept of Generic Model Control (GMC), (Lee and Sullivan, 1988), and its closely aligned cousins Reference System Synthesis (Bartusiak et al, 1988) and internal decoupling (Balchen et al, 1988) is to find values of the manipulated inputs that force a model of the system to follow a desired reference system or trajectory. The methods are clearly related to a body of mathematical knowledge known as differential geometry involving exact linearization of nonlinear mappings between the input and output variables (Isidori, 1989). The purpose of this chapter is not to present all of the theoretical underpinnings of the technique, but rather to provide enough of the essential elements of the method in a tutorial style that will allow the reader to appreciate the applications of the technique presented in each of the subsequent case studies.

[1]  A. Isidori Nonlinear Control Systems: An Introduction , 1986 .

[2]  Pl Lee,et al.  Model-based Controller Design for a Heavy Oil Fractionator , 1990 .

[3]  David I. Wilson Advanced Control of a Batch Raw Sugar Crystalliser , 1990 .

[4]  Peter L. Lee,et al.  GENERIC MODEL ADAPTIVE CONTROL , 1992 .

[5]  Peter L. Lee,et al.  Process model-based engineering , 1989 .

[6]  M. A. Henson,et al.  A Critique of Differential Geometric Control Strategies for Process Control , 1990 .

[7]  Alberto Isidori,et al.  Nonlinear control systems: an introduction (2nd ed.) , 1989 .

[8]  J. Balchen,et al.  Internal Decoupling in Nonlinear Process Control , 1988 .

[9]  B. J. Cott,et al.  Temperature control of exothermic batch reactors using generic model control , 1989 .

[10]  Peter L. Lee,et al.  Control of anaerobic digesters using Generic Model Control , 1989 .

[11]  Peter L. Lee,et al.  Constrained generic model control of a surge tank , 1991 .

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

[13]  Peter L. Lee,et al.  APPLICATION OF GENERIC MODEL CONTROL TO THE pH CONTROL OF A SINGLE-STAGE HIGH-RATE ANAEROBIC REACTOR , 1990 .

[14]  Peter L. Lee,et al.  Generic model control — A case study , 1989 .

[15]  R. Bartusiak,et al.  Nonlinear feedforward/feedback control structures designed by reference system synthesis , 1989 .

[16]  R. B. Newell,et al.  Applied Process Control: A Case Study , 1989 .

[17]  G. R. Sullivan,et al.  Generic model control (GMC) , 1988 .

[18]  R. Donald Bartusiak,et al.  Designing Nonlinear Control Structures by Reference System Synthesis , 1988 .

[19]  D. Costello Modelling, optimisation, and control of high-rate anaerobic reactors , 1989 .