The regulator problem with robust stability

Cevik M., Schumacher J.

IFAC Conference on System Structure and Control 1995, Nantes, France, 5 - 07 July 1995, pp.237-242 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Nantes
  • Country: France
  • Page Numbers: pp.237-242
  • Istanbul Technical University Affiliated: No


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 pager 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.