Boundary feedback control using proper orthogonal decomposition models

Journal of Guidance, Control, and Dynamics

Volumn 28, Issue 5, 2005, Pages 931-938

  Camphouse, R Chris ^a,b,c  

^a WRIGHT PATTERSON AIR FORCE BASE   (United States)

^b Building 146   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DECOMPOSITION; MATHEMATICAL MODELS;

BOUNDARY FEEDBACK CONTROL; FULL-ORDER SIMULATION; ORTHOGONAL DECOMPOSITION SYSTEM MODELS; REDUCED-ORDER CONTROL;

FEEDBACK CONTROL;

EID: 26244433143     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.10523     Document Type: Article

References (18)

1. Batchelor, G., An Introduction to Fluid Dynamics, Cambridge Univ. Press, New York, 1967, pp. 399-352.
2. Fletcher, C., Computational Techniques for Fluid Dynamics, Vol. 2, Springer-Verlag, New York, 2003, pp. 399-352.
3. Carabello, E., Samimy, M., and DeBonis, J., "Low Dimensional Modeling of Flow for Closed-Loop Flow Control," AIAA Paper 2003-0059, Jan. 2003.
4. Carlson, H., Glauser, M., Higuchi, H., and Young, M., "POD Based Experimental Flow Control on a NACA-4412 Airfoil," AIAA Paper 2004-0575, Jan. 2004.
5. Carlson, H., Glauser, M., and Roveda, R., "Models for Controlling Airfoil Lift and Drag," AIAA Paper 2004-0579, Jan. 2004.
6. Cohen, K., Siegal, S., McLaughlin, T., and Myatt, J., "Proper Orthogonal Decomposition Modeling of a Controlled Ginzburg-Landau Cylinder Wake Model," AIAA Paper 2003-2405, Jan. 2003.
7. Efe, M., and Ozbay, H., "Proper Orthogonal Decomposition for Reduced Order Modeling: 2D Heat Flow," Proceedings of IEEE International Conference on Control Applications (to be published).
8. Sirovich, L., "Turbulence and the Dynamics of Coherent Structures, Parts I-III," Quarterly of Applied Mathematics, Vol. 45, No. 3, 1987, pp. 561-590.
9. Holmes, P., Lumley, J., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Univ. Press, New York, 1996, pp. 86-127.
10. Bensoussan, A., Prato, G., Delfour, M., and Miller, S., "Representation and Control of Infinite Dimensional Systems," Systems & Control: Foundations & Applications, Vol. 2, Birkhauser, Boston, 1992, pp. 259-317.
11. Hulsing, K., "Numerical Methods for Approximating Functional Gains for LQR Control of Partial Differential Equations," Ph.D. Dissertation, Dept. of Mathematics, Virginia Polytechnic Inst. and State Univ., Blacksburg, VA, Dec. 1999, pp. 23-40.
12. Borggaard, J., and Burns, J., "A Continuous Control Design Method," AIAA Paper 2002-2998, June 2002.
13. Borggaard, J., Burns, J., and Zietsman, L., "Computational Challenges in Control of Partial Differential Equations," AIAA Paper 2004-2526, June 2004.
14. Banks, H., del Rosario, R., and Smith, R., "Reduced Order Model Feedback Control Design: Numerical Implentation in a Thin Shell Model," Center for Research in Scientific Computation, North Carolina State Univ., Technical Rept. CRSC-TR98-27, Raleigh, June 1998.
15. Lasiecka, I., and Triggiani, R., Control Theory for Partial Differential Equations: Continuous and Approximation Theories, Vol. 1, Cambridge Univ. Press, New York, 2000, pp. 178-194.
16. Burns, J., and Kang, S., "A Control Problem for Burgers Equation with Bounded Input/Output," Nonlinear Dynamics, Vol. 2, Kluwer Academic, Norwell, MA, 1991, pp. 235-262.
17. Burns, J., and Kang, S., "A Stabilization Problem for Burgers Equation with Unbounded Control and Observation," Control and Estimation of Distributed Parameter Systems, Vol. 100, Birkhauser Verlag, Basel, 1991, pp. 51-72.
18. Camphouse, R., and Myatt, J., "Feedback Control for a Two-Dimensional Burgers Equation System Model," AIAA Paper 2004-2411, June 2004.