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On the study of control effectiveness and computational efficiency of reduced Saint-Venant model in model predictive control of open channel flow

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Title: On the study of control effectiveness and computational efficiency of reduced Saint-Venant model in model predictive control of open channel flow
Authors: Xu, M. min.xu@tudelft.nl, van Overloop, P.J.1, van de Giesen, N.C.1
Source: Advances in Water Resources. Feb2011, Vol. 34 Issue 2, p282-290. 9p.
Subjects: Saint-Venant's principle, Predictive control systems, Water management, Integrators, Orthogonal decompositions, Fluid dynamics, Prediction models, Channels (Hydraulic engineering)
Abstract: Abstract: Model predictive control (MPC) of open channel flow is becoming an important tool in water management. The complexity of the prediction model has a large influence on the MPC application in terms of control effectiveness and computational efficiency. The Saint-Venant equations, called SV model in this paper, and the Integrator Delay (ID) model are either accurate but computationally costly, or simple but restricted to allowed flow changes. In this paper, a reduced Saint-Venant (RSV) model is developed through a model reduction technique, Proper Orthogonal Decomposition (POD), on the SV equations. The RSV model keeps the main flow dynamics and functions over a large flow range but is easier to implement in MPC. In the test case of a modeled canal reach, the number of states and disturbances in the RSV model is about 45 and 16 times less than the SV model, respectively. The computational time of MPC with the RSV model is significantly reduced, while the controller remains effective. Thus, the RSV model is a promising means to balance the control effectiveness and computational efficiency. [ABSTRACT FROM AUTHOR]
Copyright of Advances in Water Resources is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On the study of control effectiveness and computational efficiency of reduced Saint-Venant model in model predictive control of open channel flow
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  Data: <searchLink fieldCode="JN" term="%22Advances+in+Water+Resources%22">Advances in Water Resources</searchLink>. Feb2011, Vol. 34 Issue 2, p282-290. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Saint-Venant's+principle%22">Saint-Venant's principle</searchLink><br /><searchLink fieldCode="DE" term="%22Predictive+control+systems%22">Predictive control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Water+management%22">Water management</searchLink><br /><searchLink fieldCode="DE" term="%22Integrators%22">Integrators</searchLink><br /><searchLink fieldCode="DE" term="%22Orthogonal+decompositions%22">Orthogonal decompositions</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Channels+%28Hydraulic+engineering%29%22">Channels (Hydraulic engineering)</searchLink>
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  Data: Abstract: Model predictive control (MPC) of open channel flow is becoming an important tool in water management. The complexity of the prediction model has a large influence on the MPC application in terms of control effectiveness and computational efficiency. The Saint-Venant equations, called SV model in this paper, and the Integrator Delay (ID) model are either accurate but computationally costly, or simple but restricted to allowed flow changes. In this paper, a reduced Saint-Venant (RSV) model is developed through a model reduction technique, Proper Orthogonal Decomposition (POD), on the SV equations. The RSV model keeps the main flow dynamics and functions over a large flow range but is easier to implement in MPC. In the test case of a modeled canal reach, the number of states and disturbances in the RSV model is about 45 and 16 times less than the SV model, respectively. The computational time of MPC with the RSV model is significantly reduced, while the controller remains effective. Thus, the RSV model is a promising means to balance the control effectiveness and computational efficiency. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Advances in Water Resources is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.advwatres.2010.11.009
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        Text: English
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        Type: general
      – SubjectFull: Predictive control systems
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      – SubjectFull: Water management
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      – SubjectFull: Integrators
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              Text: Feb2011
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