Disturbance rejection of left-invertible generalized state space systems

Author

Paraskevopoulos, P.N. ; Koumboulis, F.N. ; Tzierakis, K.G.

Author_Institution

Dept. of Electr. and Comput. Eng., Athens Nat. Tech. Univ., Greece

Volume

39

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

185

Lastpage

190

Abstract

A new approach is presented for the study of the disturbance rejection of left-invertible generalized state space systems via pure proportional state feedback, reducing the problem to that of solving a linear algebraic system of equations. On the basis of this system of equations, the necessary and sufficient conditions for the problem to have a solution are established in a form of simple algebraic criteria (thus reducing the computational effort over known results), and the general analytical expressions of the controller matrices are derived. The structural properties of the closed-loop system (feedback invariant poles, disturbance rejection with simultaneous elimination of the infinite poles) are studied

Keywords

closed loop systems; feedback; poles and zeros; proportional control; stability criteria; state-space methods; closed-loop system; controller matrices; disturbance rejection; feedback invariant poles; infinite pole elimination; left-invertible generalized state space systems; linear algebraic system; necessary and sufficient conditions; pure proportional state feedback; simple algebraic criteria; structural properties; Chaos; Control systems; Convergence; Delay effects; Distributed computing; Equations; Stability; State-space methods; Stochastic processes; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.273365

Filename

273365