Control of continuous-time systems with communication constraints: Linear quadratic stabilization and fundamental limitations

Author

Dapeng Li ; Hovakimyan, N.

Author_Institution

Dept. of Mech. Sci. & Eng., UIUC, Urbana, IL, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

343

Lastpage

348

Abstract

This paper considers both synthesis and analysis problems for continuous-time stochastic systems in the presence of limited information. First, a novel linear matrix inequality (LMI) optimization problem is formulated to obtain a linear quadratic controller over an additive white-noise channel subject to a power constraint. We next consider a more general setting and, using tools from information theory, derive an extended Bode-type formula to analyze fundamental performance limitations.

Keywords

constraint theory; continuous time systems; information theory; linear matrix inequalities; linear quadratic control; optimisation; stability; stochastic systems; white noise; Bode type formula; communication constraints; continuous time stochastic systems; information theory; linear matrix inequality optimization problem; linear quadratic controller; linear quadratic stabilization; power constraint; white noise channel; AWGN; Communication system control; Control system synthesis; Control systems; Feedback; Information analysis; Information theory; Mutual information; Performance analysis; Random variables;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5530817

Filename

5530817