All stabilizing controllers as frequency-shaped state estimate feedback

Author

Moore, John B. ; Glover, Keith ; Telford, Andrew

Author_Institution

Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

35

Issue

2

fYear

1990

fDate

2/1/1990 12:00:00 AM

Firstpage

203

Lastpage

208

Abstract

It is shown that the class of all strictly proper stabilizing controllers for proper linear plants can be structured as state estimate feedback with frequency shaping in the state estimates and/or in the state estimate feedback law. The selection of where the frequency shaping takes place is at the designer´s discretion. The parameterization of the controller class can be in terms of an arbitrary proper stable transfer function, with the closed-loop system transfer functions affine in the transfer function. With constant output feedback permitted in addition to the state estimate feedback, the class of all proper stabilizing controllers can be generated in a like manner

Keywords

closed loop systems; feedback; linear systems; stability; state estimation; transfer functions; closed-loop system transfer functions; frequency-shaped state estimate feedback; proper linear plants; proper stable transfer; stabilizing controllers; Control systems; Frequency estimation; Linear feedback control systems; Linear systems; Low pass filters; Output feedback; Shape control; State estimation; State feedback; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.45181

Filename

45181