Further Results on the Robust Regulation of a One-Dimensional Dam-River System

Abstract

In this paper, we consider a one-dimensional dam-river system studied by Chentouf and Wang (SIAM J. Control Optim. 47: 2275–2302, 2008). Then, using the frequency multiplier method, we provide a simple and alternative proof of stabilization and regulation results obtained in the work cited above. Moreover, we relax the conditions on the feedback gains involved in the feedback law and give a partial answer to the open problem left by the authors Chentouf and Wang (J. Optim. Theory Appl. 134: 223–239, 2007 and SIAM J. Control Optim. 47: 2275–2302, 2008) concerning the tuning of the gains.