Sampled-data output feedback control of distributed parameter systems via semi-discretization in spa

Abstract

This paper provides sufficient conditions to stabilize a sampled-data linear distributed parameter system with finite-dimensional input and output via a family of finite-dimensional continuous-time approximations that are obtained from numerical schemes. This family of continuous-time finite-dimensional approximations can be exponentially stabilized by a family of output feedback controllers when the space discretization parameter $h$ is sufficiently small. Sufficient conditions presented in this paper guarantee that the same family of output feedback controllers can exponentially stabilize the exact sampled-data linear distributed parameter system for a sufficiently small sampling p..