TY - JOUR
T1 - Further Results on the Robust Regulation of a One-Dimensional Dam-River System
AU - Ammari, K.
AU - Chentouf, B.
N1 - Funding Information:
This work was supported by Sultan Qaboos University (Project IG/SCI/DOMS/08/02).
PY - 2010/12
Y1 - 2010/12
N2 - 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.
AB - 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.
KW - Dam-river system
KW - Exponential stability
KW - Frequency multiplier domain method
KW - Robust regulation
UR - http://www.scopus.com/inward/record.url?scp=78049356374&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78049356374&partnerID=8YFLogxK
U2 - 10.1007/s10957-010-9729-7
DO - 10.1007/s10957-010-9729-7
M3 - Article
AN - SCOPUS:78049356374
SN - 0022-3239
VL - 147
SP - 597
EP - 606
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -