Algebraic conditions of existence and stability for the design of controllers for interconnected multivariable linear systems.

  1. Sen Parte, Manuel de la
Journal:
Stochastica: revista de matemática pura y aplicada

ISSN: 0210-7821

Year of publication: 1986

Volume: 10

Issue: 1

Pages: 73-98

Type: Article

More publications in: Stochastica: revista de matemática pura y aplicada

Abstract

This paper presents an algebraic design theory for interconnected systems. Usual multivariable linear systems are described in a unified way. Both square and nonsquare plants and controllers are included in the study and an easy characterization of the achievable I/O (input-to-output) and D/O (disturbance-to-output) maps is presented through the use of appropriate controllers. Sufficient conditions of stability are given.