Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Design of a Pre-Compensator for Linear Multivariable Adaptive Control System
Katsutoshi TAMURAWataru KASE
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1987 Volume 23 Issue 11 Pages 1178-1185

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Abstract
In a design of a multi-input multi-output (MIMO) adaptive control system, an interactor plays an important role. The derivation of the interactor requires the system parameter values unless the interactor is in diagonal form. This is a considerable restriction of the application of the interactor to the adaptive control system.
In this paper an alternative approach is presented, where a diagonal pre-compensator is designed and almost of all compensated plants are able to have diagonal interactors. Since the design of the pre-compensator needs only relative degrees of the elements of the transfer matrix and does not need the parameter values, this approach is more applicable to the adaptive control system design.
For the design of the compensator, the structure of the zero position of a matrix A is investigated, where A is the high frequency gain matrix of a MIMO plant. And the characteristics of the structure are given. Using the zero structure of A, an algorithm to obtain the compensator is given. A design of adaptive control system with the compensator is shown.
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