THE REGULATOR PROBLEM WITH ROBUST STABILITY


CEVIK M., SCHUMACHER J.

AUTOMATICA, vol.31, no.10, pp.1393-1406, 1995 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 10
  • Publication Date: 1995
  • Doi Number: 10.1016/0005-1098(95)00060-a
  • Title of Journal : AUTOMATICA
  • Page Numbers: pp.1393-1406

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'. For the regulator problem to be solvable with robust closed-loop stability, the plant obviously needs to be such that the regulation problem and the robust stabilization problem are solvable separately. In this paper we determine the extra conditions that are necessary and sufficient for the two problems to be solved simultaneously. It turns out that these conditions can be given a simple geometric interpretation in terms of a multivariable version of the Nyquist curve of the plant.