Title :
Optimal semistable control for continuous-time coupled systems
Author_Institution :
Dept. of Mech. Eng., Texas Tech Univ., Lubbock, TX, USA
fDate :
June 30 2010-July 2 2010
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;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531476
