Backstepping boundary control of navier-stokes channel flow: A 3D extension

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 769-774

  Cochran, Jennie ^a   Vazquez, Rafael ^a   Krstic, Miroslav ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTROL EQUIPMENT; NAVIER STOKES EQUATIONS; SYSTEM STABILITY; VELOCITY CONTROL;

BACKSTEPPING BOUNDARY CONTROL; INFINITE CHANNEL FLOW;

CHANNEL FLOW;

EID: 34047219209     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1655449     Document Type: Conference Paper

References (16)

1. O.M. Aamo and M. Krstic, Flow Control by Feedback: Stabilization and Mixing, Springer, 2002.
2. O. M. Aamo, A. Smyshlyaev and M. Krstic, "Boundary control of the linearized Ginzburg-Landau model of vortex shedding," SIAM Journal of Control and Optimization, vol. 43, pp. 1953-1971, 2005.
3. M.-R. Alam, W.-J. Liu and G. Haller, "Closed-loop separation control: an analytic approach," submitted to Phys. Fluids, 2005.
4. J. Baker, A. Armaou and P.D. Christofides, "Nonlinear control of incompressible fluid flow: application to Burgers' equation and 2D channel flow," Journal of Mathematical Analysis and Applications, vol. 252, pp. 230-255, 2000.
5. A. Balogh, W.-J. Liu, and M. Krstic, "Stability enhancement by boundary control in 2D channel flow," IEEE Trans. Automatic Control, vol. 46, pp. 1696-1711, 2001.
6. V. Barbu, "Feedback stabilization of Navier-Stokes equations," ESAIM: Control, Optim. Cal. Var., vol. 9, pp. 197-205, 2003.
7. T.R. Bewley, "Flow control: new challenges for a new Renaissance," Progress in Aerospace Sciences, vol. 37, pp. 21-58, 2001.
8. M. Hogberg, T.R. Bewley and D.S. Henningson,"Linear feedback control and estimation of transition in plane channel flow," Journal of Fluid Mechanics, vol 481, pp. 149-175, 2003.
9. M. Jovanovic and B. Bamieh, "Componentwise energy amplification in channel flows", to appear in Journal of Fluid Mechanics, 2005.
10. B. Protas and A. Styczek, "Optimal control of the cylinder wake in the laminar regime," Physics of Fluids, vol. 14, no. 7, pp. 2073-2087, 2002.
11. J.-P. Raymond, "Feedback boundary stabilization of the two dimensional Navier-Stokes equations," preprint, 2005.
12. P.J. Schmid and D.S. Henningson, Stability and Transition in Shear Flows, Springer, 2001.
13. A. Smyshlyaev and M. Krstic, "Closed-form boundary state feedback for a class of 1-D partial integro-differential equations," IEEE Trans. Automatic Control, vol. 49, pp.2185-2202, December 2004.
14. R. Vazquez and M. Krstic, "A closed-form feedback controller for stabilization of linearized navier-stokes equations: The 2D Poisseuille flow," 2005 IEEE Conf. Design and Control
15. R. Vazquez and M. Krstic, "A closed-form observer for the channel flow Navier-Stokes system," 2005 Conference on Decision and Control, Sevilla.
16. R. Vazquez and M. Krstic, "Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs," accepted, Systems and Control Letters, 2005.