Feedback control of the driven cavity problem using LQR designs
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 1, 289-294
- https://doi.org/10.1109/cdc.1994.410915
Abstract
This paper is motivated by a tracking problem for the Navier-Stokes equations. A feedback control law is developed for the linearized system by using linear quadratic regulator design. A finite difference Galerkin scheme is applied to a cavity flow control problem in order to illustrate the feasibility of this approach.Keywords
This publication has 10 references indexed in Scilit:
- Active flow control relative to a rotating cylinderPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Optimal sensor location for robust control of distributed parameter systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Active control of vortex sheddingPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1994
- Feedback control of vortex shedding at low Reynolds numbersJournal of Fluid Mechanics, 1993
- Optimal control of lift/drag ratios on a rotating cylinderApplied Mathematics Letters, 1992
- Chaos-enhanced transport in cellular flowsPhilosophical Transactions A, 1992
- Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag ReductionSIAM Journal on Control and Optimization, 1992
- An optimal control problem in exterior hydrodynamicsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1992
- A control problem for Burgers' equation with bounded input/outputNonlinear Dynamics, 1991
- A finite difference galerkin formulation for the incompressible Navier-Stokes equationsJournal of Computational Physics, 1984