Pole assignment for uncertain systems in a specified disk by state feedback

Author

Garcia, Germain ; Bernussou, J.

Author_Institution

Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France

Volume

40

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

184

Lastpage

190

Abstract

This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the “quadratic d stabilizability” concept which is the counterpart of quadratic stabilizability in the context of pole placement is defined and a necessary and sufficient condition for quadratic d stabilizability derived. This condition expressed as a parameter dependent discrete Riccati equation enables one to design the control gain matrix by solving iteratively a discrete Riccati equation

Keywords

Riccati equations; continuous time systems; discrete time systems; linear systems; pole assignment; state feedback; uncertain systems; continuous time uncertain system; control gain matrix; linear discrete system; necessary and sufficient condition; parameter dependent discrete Riccati equation; pole assignment; quadratic d stabilizability; state feedback; Adaptive control; Automatic control; Geometry; Linear systems; Polynomials; Riccati equations; Robust control; Robust stability; State feedback; Uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.362872

Filename

362872