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.
Original language | English |
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Pages (from-to) | 597-606 |
Number of pages | 10 |
Journal | Journal of Optimization Theory and Applications |
Volume | 147 |
Issue number | 3 |
DOIs | |
Publication status | Published - Dec 2010 |
Keywords
- Dam-river system
- Exponential stability
- Frequency multiplier domain method
- Robust regulation
ASJC Scopus subject areas
- Management Science and Operations Research
- Control and Optimization
- Applied Mathematics