BIBO Stability for Funnel Control: Semilinear Internal Dynamics with Unbounded Input and Output Operators
摘要
This note deals with bounded-input-bounded-output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee the feasibility of funnel control for coupled ordinary differential equation–partial differential equation (ODE–PDE) systems, as shown by means of an example from chemical engineering.