Predictive Control With Guaranteed Stability for Water Hammer Equations

Author

Thang Van Pham ; Georges, Didier ; Besancon, Gildas

Author_Institution

Control Syst. Dept., GIPSA-Lab., Grenoble, France

Volume

59

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

465

Lastpage

470

Abstract

We study the application of the receding horizon optimal control (RHOC) for hydraulic pipeline systems described by the so-called water hammer equations. Sufficient conditions to guarantee an asymptotic stability to an equilibrium state are first introduced and then integrated in the RHOC scheme. For the implementation, calculus of variations is employed to characterize the optimal solution in terms of the adjoint state and the recently proposed Lattice Boltzmann method is used to solve both direct and adjoint partial differential equations. This approach is finally validated in simulation.

Keywords

asymptotic stability; hydraulic systems; lattice Boltzmann methods; optimal control; partial differential equations; pipelines; predictive control; RHOC; adjoint partial differential equation; asymptotic stability; calculus of variation; direct partial differential equation; equilibrium state; hydraulic pipeline system; lattice Boltzmann method; predictive control; receding horizon optimal control; water hammer equation; Calculus of variations; lattice Boltzmann method; receding horizon optimal control; water hammer equations;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2272171

Filename

6553215