Elsevier

Automatica

Volume 28, Issue 2, March 1992, Pages 255-264
Automatica

Paper
Open channel transient flow control by discrete time LQR methods

https://doi.org/10.1016/0005-1098(92)90113-TGet rights and content

Abstract

A real-time compensation scheme for multipool canals is developed using linear quadratic methods. A special response of the simple wave equation is used as a basis for developing the performance index which is minimized for a linear method of characteristics flow model (discrete time). State estimation, using only depths adjacent to underflow gates, is shown always to be possible. Fixed compensation for a large flow transition is demonstrated in an example where the controlled object is a realistic, nonlinear numerical flow model. A reference input which results in deadbeat control of the wave equation and allows approximate prediction of surge heights is used. Development and implementation of the compensation algorithm involves only moderate computational effort, but substantial simplification seems possible.

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Cited by (0)

The original version of this paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor B. Friedland under the direction of Editor H. Austin Spang III.

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