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dc.contributor.authorChen, T.
dc.contributor.authorXu, C.
dc.contributor.authorLin, Qun
dc.contributor.authorLoxton, Ryan
dc.contributor.authorTeo, Kok Lay
dc.identifier.citationChen, T. and Xu, C. and Lin, Q. and Loxton, R. and Teo, K.L. 2015. Water hammer mitigation via PDE-constrained optimization. Control Engineering Practice. 45: pp. 54-63.

This paper considers an optimal boundary control problem for fluid pipelines with terminal valve control. The goal is to minimize pressure fluctuation during valve closure, thus mitigating water hammer effects. We model the fluid flow by two coupled hyperbolic PDEs with given initial conditions and a boundary control governing valve actuation. To solve the optimal boundary control problem, we apply the control parameterization method to approximate the time-varying boundary control by a linear combination of basis functions, each of which depends on a set of decision parameters. Then, by using variational principles, we derive formulas for the gradient of the objective function (which measures pressure fluctuation) with respect to the decision parameters. Based on the gradient formulas obtained, we propose a gradient-based optimization method for solving the optimal boundary control problem. Numerical results demonstrate the capability of optimal boundary control to significantly reduce pressure fluctuation.

dc.subjectHyperbolic PDEs
dc.subjectControl parameterization
dc.subjectWater hammer
dc.subjectVariational method
dc.subjectOptimal boundary control
dc.subjectMethod of lines
dc.titleWater hammer mitigation via PDE-constrained optimization
dc.typeJournal Article
dcterms.source.titleControl Engineering Practice
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access

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