Abstract
This paper proposed a boundary feedback control design for open-channel networks with trapezoidal cross sections by using a Riemann invariants approach. The open-channel network is well modeled by the nonlinear Saint-Venant equations. Based on the characteristic form in terms of Riemann invariants, the stabilizing boundary control is developed for a single canal. The stability condition and the boundary control design are subsequently generalized to open-channel networks composed by multireaches in cascade. The design of the boundary feedback control laws either for a single canal or for the cascaded networks is illustrated in a unified design framework.
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Cen, L., Xi, Y., Li, D., Cen, Y. (2013). Boundary Feedback Control Design and Stability of Open-Channel Networks. In: Li, K., Li, S., Li, D., Niu, Q. (eds) Intelligent Computing for Sustainable Energy and Environment. ICSEE 2012. Communications in Computer and Information Science, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37105-9_38
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DOI: https://doi.org/10.1007/978-3-642-37105-9_38
Publisher Name: Springer, Berlin, Heidelberg
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