Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control

Abstract

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and time-varying. The proposed control strategy consists of a constant-delay predictor feedback controller designed on a truncated finite-dimensional model capturing the unstable modes of the original infinite-dimensional system. We show that the resulting closed-loop system is exponentially input-to-state stable with fading memory of both additive boundary input perturbations and disturbances in the computation of the predictor feedback.

Published in Systems & Control Letters

References in corpus (4)

• Feedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control
• An LMI Condition for the Robustness of Constant-Delay Linear Predictor Feedback with Respect to Uncertain Time-Varying Input Delays
• Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay
• Boundary input-to-state stabilization of a damped Euler-Bernoulli beam in the presence of a state-delay

Cited by in corpus (3)

• An LMI Condition for the Robustness of Constant-Delay Linear Predictor Feedback with Respect to Uncertain Time-Varying Input Delays
• PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
• Robustness of constant-delay predictor feedback for in-domain stabilization of reaction-diffusion PDEs with time- and spatially-varying input delays