Funnel control for boundary control systems

Abstract

We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.

26 pages, thoroughly revised version. The system class has been generalized considerably. Added general example class of parabolic problems