ℒ/sub 1/ controller design for a high-order 5-pool irrigation canal system

Author(s):  
P.-O. Malaterre ◽  
M. Khammash
2003 ◽  
Vol 125 (4) ◽  
pp. 639-645 ◽  
Author(s):  
Pierre-Olivier Malaterre ◽  
Mustafa Khammash

The aim of this work is to present an application of recent methods for solving the l1 design problem, based on the Scaled-Q approach, on a high-order, nonminimum phase system. We start by describing the system which is an open-channel hydraulic system (e.g., an irrigation canal). From the discretization and linearization of the set of two partial-derivative equations, a state-space model of the system is generated. This model is a high-order MIMO system (five external perturbations w, five control inputs u, 10 controlled outputs z, five measured outputs y, 65 states x) and is nonminimum phase. A controller is then designed by minimizing the l1 norm of the impulse response of the transfer matrix between the perturbations w and the outputs z. Time-domain constraints are added into the minimization problem in order to force integrators into the controller. The numerical resolution of the problem proved to be efficient, despite of the characteristics of the system. The obtained results are compared in the time-domain to classical PID and LQG controllers on the nonlinear system. The results are good in terms of performance and robustness, in particular for the rejection of the worst-case perturbation.


2014 ◽  
Vol 955-959 ◽  
pp. 3422-3426
Author(s):  
Hong Wei Jia ◽  
Ke Ke Hu ◽  
Fei Su

Canal system conveyance efficiency (CSCE ) is a basic parameter of engineering construction and water management of the irrigation districts, either the response of operation status of an irrigation canal system. It plays great significance in searching quantity relationship between ICSCE and other basic parameters reflecting the condition of irrigation engineering. This paper, gravity irrigation districts in Zhejiang province as an example, sets up the relationship between basic parameters such as irrigation canal lining rate, canal flow and the CSCE, based on determining the CSCE in 61 typical gravity irrigation districts. And it also reflects the influence of basic parameters on CSCE, having a certain accuracy. This result plays a positive role on the further research and actual work on CSCE.


2014 ◽  
Vol 25 (5) ◽  
pp. 848-858 ◽  
Author(s):  
Liang Wang ◽  
Yongzhi Sheng ◽  
Xiangdong Liu

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