STABILIZATION OF INFINITE-DIMENSIONAL LINEAR-SYSTEM USING FINITE-DIMENSIONAL STATE CONTROLLERS

We consider a sequence of finite-dimensional models of increasing dimension which approximate an infinite-dimensional single input, single output linear stationary system. The system is stabilized by a linear-quadratic Gaussian controller synthesized using one of the finite-dimensional models. We investigate the dependence of close-loop stability and the quadratic bound of the control process on controller parameters and model parameters for the case of a phase-minimal system.