Optimal semistable control for continuous-time coupled systems

Author

Qing Hui

Author_Institution

Dept. of Mech. Eng., Texas Tech Univ., Lubbock, TX, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

6403

Lastpage

6408

Abstract

In this paper, we develop distributed H₂ semistability theory for linear dynamical systems. Using this theory, we design distributed H₂ optimal semistable controllers for linear dynamical systems. Unlike the standard H₂ optimal control problem, a complicating feature of the distributed H₂ optimal semistable stabilization problem is that the closed-loop Lyapunov equation guaranteeing semistability can admit multiple solutions. Necessary and sufficient conditions for existence of solutions to the semistable Lyapunov equation are derived and a design framework for distributed optimal controllers is presented.

Keywords

Lyapunov methods; closed loop systems; continuous time systems; control system synthesis; distributed parameter systems; linear systems; optimal control; closed-loop Lyapunov equation; continuous-time coupled systems; distributed H₂ optimal semistable controller design; linear dynamical systems; Asymptotic stability; Communication system control; Control systems; Distributed control; Equations; Hydrogen; Linear systems; Optimal control; Sufficient conditions; Vehicle dynamics;

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.2010.5531476

Filename

5531476