Finite-dimensional controllers for robust regulation of boundary control systems

We study the robust output regulation of linear boundary control systems by constructing extended systems. The are established based on solving static differential equations under two new conditions. We first consider abstract setting and present finite-dimensional reduced order controllers. controller design is then used for particular PDE models: high-dimensional parabolic beam with Kelvin-Voigt damping. Numerical examples will be presented using Finite Element Method.