Stable Predictive Control of Open‐Channel Flow
Publication: Journal of Irrigation and Drainage Engineering
Volume 115, Issue 4
Abstract
This paper presents an algorithm for automatic control of open‐channel flow. The design of a control algorithm is essentially conditioned by two features of the open‐channel dynamics: (1) The time‐inverse propagation process is ill‐posed—thus arise problems to get stable control and assymptotical convergence of the output to the demanded setpoint; and (2) the complete description of the propagation process is mathematically complex, requiring the use of a couple of nonlinear hyperbolic partial differential equations and a posteriori linearization around the steady state. Instead of the complete equations, the control algorithm proposed in this paper uses a simplified model of the unsteady flow to describe the openchannel behavior. This model is used in conjunction with a predictive control strategy, resulting in a control algorithm with guaranteed stability and setpoint convergence as well as mathematical simplicity. Numerical examples illustrate the effectiveness of the control algorithm.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 115 • Issue 4 • August 1989
Pages: 701 - 713
Copyright
Copyright © 1989 ASCE.
History
Published online: Aug 1, 1989
Published in print: Aug 1989
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