Sigmoidal Activation of Proportional Integral Control Applied to Water Management
Publication: Journal of Water Resources Planning and Management
Volume 131, Issue 4
Abstract
A conventional proportional integral (PI) controller is modified with a nonlinear activation function (sigmoid function) applied directly to the controller output in order to improve the stability and target fidelity of the system response to large variational inputs in both state and internal controller gain variables. The controller is implemented in a simulated water management role applied to a major subregional pumping station between Lake Okeechobee, the Loxahatchee National Wildlife Refuge (WCA1), and the West Palm Beach supply canal (C51) in the South Florida geographic region. The simulation consists of an integrated hydrological numerical model implemented in the Regional Simulation Model (RSM), which is currently under development at the South Florida Water Management District. Analysis of the modified controller in the Laplace domain establishes the expected control behavior, and subsequent results of the simulation for the conventional PI and the sigmoid modified controller are presented and compared. The modified controller achieves significant improvement in stability while simultaneously reducing the control signal energy.
Get full access to this article
View all available purchase options and get full access to this article.
References
Belaineh, G., Peralta, R. C., and Hughes, T. C. (1999). “Simulation/optimization modeling for water resources management.” J. Water Resour. Plan. Manage., 125(3), 154–161.
Buyalski, C. P., et al. (1991). Canal systems automation manual, Water Resources Research Laboratory, Bureau of Reclamation, U.S. Dept. of the Interior, Denver, Colo.
Lal, A. M. Wasantha. (1998). “Weighted implicit finite-volume model for overland flow.” J. Hydraul. Eng., 124(9), 941–950.
Park, et al. (2003a). RSM controllers, documentation and user manual, Hydrologic Systems Modeling Division (4340), South Florida Water Management District, West Palm Beach, Fla.
Park, et al. (2003b). RSM management simulation engine, documentation and user manual, Hydrologic Systems Modeling Division (4340), South Florida Water Management District, West Palm Beach, Fla.
Rogers, D. C., and Goussard, J. (1998). “Canal control algorithms currently in use.” J. Irrig. Drain. Eng., 124(1), 11–15.
Water Resources Development Act. (2000). Public Law No. 106-541, 106th Congress, Title VI, Section 601, Washington, D.C.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Jun 30, 2003
Accepted: Sep 2, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.