Multivariable self-tuning control: a model-following approach†

1 November 1985

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 42 (5) , 1035-1047
https://doi.org/10.1080/00207178508933411

Abstract

A multivariable self-tuning control algorithm based on the model-following approach is proposed in this paper. Reference is made to systems described by ARM AX models with an a apriori known interactor matrix. The cost function is defined in terms of variance of the norm of a suitably defined generalized error. A ‘detuned’ version of the model-following procedure is also given so as to cope with non-minimum phase systems. The proposed algorithm is finally applied to the self-tuning control problem of a simulated binary distillation column.

Keywords

This publication has 18 references indexed in Scilit:

The role of the interactor matrix in multivariable stochastic adaptive control
Automatica, 1984
Prior knowledge in model reference adaptive control of multiinput multioutput systems
IEEE Transactions on Automatic Control, 1984
The application of self-tuning control
Transactions of the Institute of Measurement and Control, 1983
On the role of the interactor matrix in multiinput-multioutput adaptive control
IEEE Transactions on Automatic Control, 1982
A parameter adaptive control structure for linear multivariable systems
IEEE Transactions on Automatic Control, 1982
Multivariable self-tuning regulator with generalized cost-function†
International Journal of Control, 1981
Generalization of results on multivariable adaptive control
IEEE Transactions on Automatic Control, 1980
Discrete-time multivariable adaptive control
IEEE Transactions on Automatic Control, 1980
Self-tuning regulators for a class of multivariable systems
Automatica, 1979
Self-tuning controller
Proceedings of the Institution of Electrical Engineers, 1975