A New Nonlinear Control Methodology for Irrigation Canals Based on a Delayed Input Model

Benayache, Zohra; Besançon, Gildas; Duby, Georges

doi:10.3182/20080706-5-kr-1001.00429

Cited by 5 publications

(3 citation statements)

References 19 publications

(22 reference statements)

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“…Some systems, however, involve delays that are functions of the state and/or control variables. Examples include crushing processes [57], mixing tanks with recycle loops [16], and irrigation canals [4]. Optimal control computation for such delay systems promises to be a fruitful area of research.…”

Section: Discussionmentioning

confidence: 99%

The control parameterization method for nonlinear optimal control: A survey

Lin¹,

Loxton²,

Teo³

2014

Journal of Industrial &Amp; Management Optimization

236

220

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The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research.

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Section: Discussionmentioning

confidence: 99%

The control parameterization method for nonlinear optimal control: A survey

Lin¹,

Loxton²,

Teo³

2014

Journal of Industrial &Amp; Management Optimization

236

220

View full text Add to dashboard Cite

show abstract

“…Time-delay systems arise in a multitude of real-world applications, including purification processes [1], irrigation channels [2], aerospace engineering [3], and chromatography processes [4]. Control techniques for such systems often depend heavily on accurate knowledge of the time-delays.…”

Section: Introductionmentioning

confidence: 99%

State-delay estimation for nonlinear systems using inexact output data

Lin

Loxton

et al. 2014

Proceedings of the 33rd Chinese Control Conference

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This paper considers the problem of using inexact output data to estimate the values of unknown state-delays in a general nonlinear time-delay system. We formulate the problem as a nonlinear optimization problem in which the state-delays are decision parameters and the cost function penalizes a weighted sum of the mean and variance of the least-squares error between actual and predicted system output. Our main result shows that the gradient of the least-squares cost function can be computed by solving an auxiliary time-advance system backward in time. On this basis, the state-delay estimation problem can be solved efficiently using standard gradient-based optimization algorithms such as sequential quadratic programming. We conclude the paper by testing this approach on a dynamic model of a continuously-stirred tank reactor with recycle loop.

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“…-Control by model inversion includes control schemes that are based on the inversion of the equations describing the movement of the water. This inversion can also be dynamic: [Benayache et al, 2008].…”

Section: Analysis Of the Waves In Open Channelsmentioning

confidence: 99%

Model predictive control of resonance sensitive irrigation canals

Horváth

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Saving water is an economic and ecological need. One way to save water is to reduce losses in irrigation networks by canal automation. The goal of canal automation is to make the right amount of water to at arrive in the right time. In order to achieve this goal, one of the ways is controlling the gates in the irrigation network by some control algorithm. In this work the control of a specific type of canal pools is studied: short and flat pools that are prone to resonance. The downstream water level control of this type of canals is investigated using the example of the 3-reach laboratory canal of the Technical University of Catalonia. Numerical and experimental studies are carried out to investigate the following: the choice of models for predictive control, the possibility to achieve offset-free control while using gravity offtakes and the best choice of control action variables. The objective of this work is to develop a well performing centralized model predictive controller (MPC) for the laboratory canal that is able to handle known and unknown setpoint changes and disturbances, and also to draw further conclusions about controller design for this type of canals. A recently developed model for resonant canals, the Integrator Resonance, is implemented and successfully tested experimentally for the first time. A new method to achieve offset free control for model predictive control is developed and tested numerically and experimentally. A choice of control variables are tested: As opposed to the discharge which is generally used as the control action variable, a state space model is formulated by using the gate opening as control variable without the need of water level measurement downstream of the gates. The results are summarized and conclusions are presented for control of short and flat canals that are prone to resonance.

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A New Nonlinear Control Methodology for Irrigation Canals Based on a Delayed Input Model

Cited by 5 publications

References 19 publications

The control parameterization method for nonlinear optimal control: A survey

The control parameterization method for nonlinear optimal control: A survey

State-delay estimation for nonlinear systems using inexact output data

Model predictive control of resonance sensitive irrigation canals

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