Stabilization of one-dimensional wave equation by non-collocated boundary feedback

摘要

In this paper, we are concerned with the stabilization of a one-dimensional wave equation with non collocated actuator/sensor configuration. A brand-new output feedback law is proposed by a completely new transformation. Different from the previous research, the proposed controller is not observer-based and the output measurement suffers from a constant time delay. It is proved that the resulting closed loop system is exponentially stable. Some numerical simulations are presented to validate this theoretical result. (C) 2016 European Control Association. Published by Elsevier Ltd. All rights reserved.