Regulation as an interpolation problem

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Copy For Citation

Cevik M., Schumacher J.

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.253, pp.311-340, 1997 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 253
• Publication Date: 1997
• Doi Number: 10.1016/0024-3795(95)00739-3
• Journal Name: LINEAR ALGEBRA AND ITS APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.311-340
• Istanbul Technical University Affiliated: No

Abstract

The design of a controller such that the closed-loop system will track reference signals or reject disturbance signals from a specified class is known as the ''servomechanism problem'' or the ''regulator problem.'' We show here that the regulator problem can be looked at as an interpolation problem for a subspace-valued function that can be viewed as a multivariable version of the Nyquist curve. The result is applied to obtain a simple parametrization of all solutions. (C) Elsevier Science Inc., 1997.