MIMO finite settling time stabilization: McMillan degree bounds and the minimal design problem

Author

Milonidis, E. ; Karcanias, N.

Author_Institution

Control Eng. Centre, City Univ., London, UK

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1986

Abstract

In this paper we study the McMillan degree properties of the finite settling time stabilizing (FSTS) controllers. In the MIMO case, a characterization of the family of all FSTS controllers according to upper bounds on their McMillan degree is given and the minimal design problem is addressed by providing lower and upper bounds for the minimum McMillan degree controllers. In the case of vector plants the minimal design problem is completely solved and a parametrization of all FSTS controllers according to their McMillan degree is obtained

Keywords

MIMO systems; control system synthesis; discrete time systems; optimisation; polynomial matrices; robust control; MIMO systems; McMillan degree bounds; discrete time systems; finite settling time stabilization; lower bounds; minimal design problem; polynomial matrix; rational matrix; upper bounds; vector plants; Control engineering; Control systems; Design engineering; Equations; MIMO; Polynomials; State feedback; Steady-state; Upper bound; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572871

Filename

572871