A multivariable self-tuning controller

An extension of generalized minimum variance control for multi-input multi-output systems using coprime factorization approach

“…For pinputs poutputs system, Koivo [3] derived a generalized minimum variance control scheme using matrix transfer functions. In this section, we reform the conventional GMVC in order to extend the conventional GMVC in the next section.…”

“…GMVC is first proposed by Clarke and others [l] and GMVC design methods for multi-input multioutput (MIMO) systems have been given by several authors [3], [4], [8]. Using a generalized output, GMVC can be applied to a wider class of plants such as, unstable plants or non-minimum phase plants.…”

Uncertainty and Forecasting of Water Quality

“…This technique was suggested by Wittenmark (1974) and Holst (1977) for the scalar case. It was motivated by the success of self·tuning controllers (Astrom and Wittenmark, 1974;Koivo, 1980) and, especially in the multivariate case, by the ease with which compu· tations can be performed compared with the explicit scheme.…”

“…The well-known recursive parameter-estimation algorithms, in particular the recursive least-squares (RLS) method (see Appendix) and its variant the square-root algorithm (Peterka, 1975;Koivo, 1980) can be used in step 2 if the data vector, parameter matrix, and "measurement vector" are defined as follows: Using the above notation the prediction algorithm takes the following form.…”

Tuning of Multivariable Decentralized Controllers Through the Ultimate-Point Method

“…Other methods deal with the identification of more than one point of the frequency response followed by the controller tuning [7], [8], but these usually apply to cross-coupled (i.e., not decentralized) controllers. In addition, there are tuning methods that yield more efficient controllers but are much more demanding in terms of the data that must be collected from the process' operation [9].…”