Self-tuning control systems: a review of developments

The general aim of the chapter is to provide the reader with an overview of some of the key developments in the field of linear model-based STC. It also includes an introduction to some of the definitions that allow the classification of the resulting STC forms. The definition of STC as being one form of adaptive control which requires two coupled sub-algorithms, one for on-line estimation of a discrete-time mathematical model of a plant and the other for control law design and implementation, is presented. The notion of repeatedly updating the model parameters via recursive estimation is introduced. Whilst reference is made to authoritative texts on the subject, a brief review of recursive least squares and Kalman filtering is given, together with extensions to enhance the adaptivity of the schemes. Then, three main categorisations of control law design are considered in the order of their historical development, namely: optimal d-step ahead control AbstrAct

[1]  A. Dunoyer,et al.  Self-tuning control of an industrial pilot-scale reheating furnace: Design principles and application of a bilinear approach , 1997 .

[2]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[3]  Keith J. Burnham,et al.  Four-term bilinear PID controller applied to an industrial furnace , 2004 .

[4]  C. Bruni,et al.  Bilinear systems: An appealing class of "nearly linear" systems in theory and applications , 1974 .

[5]  Václav Peterka Adaptive digital regulation of noisy systems , 1999 .

[6]  Keith J. Burnham,et al.  Bilinear self-tuning control of a high temperature heat treatment plant , 1994 .

[7]  P. Young An instrumental variable method for real-time identification of a noisy process , 1970 .

[8]  Ezz Hattab,et al.  E-Banking Diffusion in the Jordanian Banking Services Sector: An Empirical Analysis of Key Factors , 2009, InnovaInt. J. Actor Netw. Theory Technol. Innov..

[9]  C. Mohtadi,et al.  Properties of generalized predictive control , 1987, Autom..

[10]  David Clarke,et al.  ADAPTIVE PREDICTIVE CONTROL , 1996 .

[11]  T. R. Fortescue,et al.  Implementation of self-tuning regulators with variable forgetting factors , 1981, Autom..

[12]  Keith J. Burnham,et al.  Frisch scheme identification for dynamic diagonal bilinear models , 2009, Int. J. Control.

[13]  Björn Wittenmark,et al.  On Self Tuning Regulators , 1973 .

[14]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[15]  Ioan Doré Landau,et al.  Reduced order bilinear models for distillation columns , 1978, Autom..

[16]  Gennaro Figalli,et al.  An optimal feedback control for a bilinear model of induction motor drives , 1984 .

[17]  R. Plackett Some theorems in least squares. , 1950, Biometrika.

[18]  K. Warwick Self-tuning regulators—a state space approach , 1981 .

[19]  S. P. Sanoff,et al.  Extended self-tuning algorithm , 1981 .

[20]  Ronald R. Mohler,et al.  Natural Bilinear Control Processes , 1970, IEEE Trans. Syst. Sci. Cybern..

[21]  Peter Wellstead,et al.  Pole assignment self-tuning regulator , 1979 .

[22]  Diego Ponte,et al.  Neither Heroes nor Chaos: The Victory of VHS against Betamax , 2013, InnovaInt. J. Actor Netw. Theory Technol. Innov..

[23]  Keith J. Burnham,et al.  On the discretization of single-input single-output bilinear systems , 1997 .