Comments on "Feedback stabilization over signal-to-noise ratio constrained channels

Author

Rojas, Alejandro J.

Author_Institution

ARC Centre of Excellence for Complex Dynamic Syst. & Control, Univ. of Newcastle, Newcastle, NSW

Volume

54

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

1425

Lastpage

1426

Abstract

The above-named paper obtains in closed-form the infimal signal-to-noise ratio (SNR) required for stabilization of finite-dimensional linear time invariant (LTI) feedback loops, in continuous and discrete-time, for state feedback and output feedback control. The objective of the present note is to prove that the discrete-time output feedback infimal SNR result for stabilization reported in [1, Theorem III.2] is missing a term in delta, the component due to the relative degree of the plant model.

Keywords

continuous systems; discrete time systems; linear systems; stability; state feedback; constrained channel; continuous system; discrete-time output feedback infimal SNR; feedback loop; feedback stabilization; finite-dimensional linear time invariant system; state feedback control; Australia; Control systems; Eigenvalues and eigenfunctions; Feedback loop; H infinity control; Linear feedback control systems; Output feedback; Signal to noise ratio; Stability; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2020636

Filename

4982647