Optimal semistable control for continuous-time coupled systems
Qing Hui · 2010
In this paper, we develop distributed H2semistability theory for linear dynamical systems. Using this theory, we design distributed H2optimal semistable controllers for linear dynamical systems. Unlike the standard H2optimal control problem, a complicating feature of the distributed H2optimal 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.