Flood control of the Demer by using Model Predictive Control

Abstract It is shown how Model Predictive Control can be used for flood control of river systems modelled with real data. A linear model for the Demer, a river in Belgium, is derived, which is used inside the optimisation problem solved by the controller. This optimisation problem is formulated such that the controller can be used for set-point and flood control. A Kalman filter is used as a state estimator. Closed loop simulations performed with a full hydrodynamic model of the Demer in combination with historical rainfall data show that the proposed control scheme outperforms the current control strategy.

[1]  R. Braatz,et al.  Handling state and output constraints in MPC using time-dependent weights , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[2]  Bart De Moor,et al.  Evaluation of river flood regulation by means of model predictive control , 2008 .

[3]  T. Sturm,et al.  Open Channel Hydraulics , 2001 .

[4]  Albert J. Clemmens,et al.  Automatic Downstream Water-Level Feedback Control of Branching Canal Networks: Theory , 2006 .

[5]  B. Moor,et al.  Real-time control of urban flooding , 2008 .

[6]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[7]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[8]  M. Hanif Chaudhry,et al.  Open-Channel Flow , 2007 .

[9]  J. Rawlings,et al.  Feasibility issues in linear model predictive control , 1999 .

[10]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[11]  Albert J. Clemmens,et al.  Simulation of Automatic Canal Control Systems , 2005 .

[12]  Bart De Moor,et al.  Flood regulation using nonlinear model predictive control , 2010 .

[13]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[14]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[15]  John Anthony Rossiter Model-Based Predictive Control , 2003 .

[16]  Eduardo F. Camacho,et al.  Constrained Model Predictive Control , 2007 .

[17]  Eduardo Bautista,et al.  Real-time implementation of model predictive control on Maricopa-Stanfield Irrigation and Drainage District's WM Canal. , 2010 .

[18]  Patrick Willems,et al.  Flood Regulation by Means of Model Predictive Control , 2010 .

[19]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[20]  H. T. Falvey,et al.  Numerical Methods Used to Model Unsteady Canal Flow , 1991 .

[21]  Patrick Willems,et al.  A conceptual river model to support real-time flood control (Demer river, Belgium) , 2010 .

[22]  Graham A. Tobin,et al.  Applied hydrology, McGraw-Hill series in water resources and environmental engineering; book review , 1989 .

[23]  V. T. Chow Open-channel hydraulics , 1959 .

[24]  Bart De Moor,et al.  Flood control of rivers with nonlinear model predictive control and moving horizon estimation , 2010, 49th IEEE Conference on Decision and Control (CDC).

[25]  P. J. Van Overloop,et al.  Model Predictive Control on Open Water Systems , 2006 .

[26]  Bart De Moor,et al.  Modelling of a river system with multiple reaches , 2012 .

[27]  E Ayesa,et al.  Optimal predictive control of water transport systems: Arrêt-Darré/Arros case study. , 2009, Water science and technology : a journal of the International Association on Water Pollution Research.

[28]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[29]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[30]  Bart De Moor,et al.  Flood Control with Model Predictive Control for River Systems with Water Reservoirs , 2013 .

[31]  Albert J. Clemmens,et al.  Automatic Downstream Water-Level Feedback Control of Branching Canal Networks: Simulation Results , 2006 .

[32]  Xavier Litrico,et al.  Modeling and Control of Hydrosystems , 2009 .