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.KeywordsOpen canalsSaint-Venant equationsRiemann invariantsboundary feedback controlstability analysis
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