A decomposition approach to distributed control of dynamic deformable mirrors

International Journal of Optomechatronics

Volumn 4, Issue 3, 2010, Pages 269-284

  Fraanje, Rufus ^a,b   Massioni, Paolo ^a   Verhaegen, Michel ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b TNO   (Netherlands)

Author keywords

Adaptive optics; Biharmonic operator; Decomposable systems; Distributed control; H2 optimal control; Thin plate PDE

Indexed keywords

BIHARMONIC OPERATORS; DECOMPOSABLE SYSTEMS; DISTRIBUTED CONTROL; OPTIMAL CONTROLS; THIN PLATE;

AIRCRAFT ENGINES; CONTROL; CONTROLLERS; DEFORMATION; DISTRIBUTED PARAMETER CONTROL SYSTEMS; DYNAMIC RESPONSE; LASER PULSES; MIRRORS; OPTIMIZATION; RESONANCE;

ADAPTIVE CONTROL SYSTEMS;

EID: 77956911293     PISSN: 15599612     EISSN: 15599620     Source Type: Journal    
DOI: 10.1080/15599612.2010.512380     Document Type: Article

References (18)

1. Andersen, T., O. Garpinger, M. Owner-Petersen, F. Bjoorn, R. Svahn, and A. Ardeberg. 2006. Novel concept for large deformable mirrors. Opt. Eng. 45(7):1276-1287.
2. Bamieh, B., F. Paganini, and M. Dahleh. 2002. Distributed control of spatially invariant systems. IEEE Transactions on Automatic Control 47(7):1091-1107.
3. Born, M. and E. Wolf. 1999. Principles of optics: electromagnetic theory of propagation, interference and diffraction of light. London: Cambridge University Press.
4. Böttcher, A. and S. Grudsky. 2005. Spectral properties of banded toeplitz matrices. Philadelphia: SIAM.
5. Fax, J. and R. Murray. 2004. Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control 49(9):1465-1476.
6. Hamelinck, R., N. Rosielle, M. Steinbuch, and N. Doelman. 2005. Large adaptive deformable mirror: design and first prototypes. In Proceedings of the 5th Annual SPIE Conference on Optics and Photonics, vol. 5894, 589418-589429, San Diego, CA: SPIE.
7. Hampson, K. 2008. Adaptive optics and vision. J. Modern Optics 55(21):3425-3467.
8. Kulkarni, J., R. D'Andrea, and B. Brandel. 2003. Application of distributed control techniques to the adaptive secondary mirror of Cornell's Large Atacama Telescope. In Proceedings of SPIE, vol. 4839, 750-756.
9. Massioni, P., R. Fraanje, and M. Verhaegen. 2009. Adaptive optics application of distributed control design for decomposable systems. In Proceedings of the 48th IEEE Conference on Decision and Control, 7113-7118, Shanghai: SPIE.
10. Massioni, P. and M. Verhaegen. 2008. Distributed control of vehicle formation: A decomposition approach. In Proceedings of the 47th IEEE Conference on Decision & Control, 2906-2912, Cancun, Mexico.
11. Massioni, P. and M. Verhaegen. 2009. Distributed control for identical dynamically coupled systems: A decomposition approach. IEEE Trans. on Automatic Control 54(1):124-135.
12. Miller, D. and S. Grocott. 1999. Robust control of the multiple mirror telescope adaptive secondary mirror. Opt. Eng. 38(8):1276-1287.
13. Roddier, F. 1999. Adaptive optics in astronomy. Cambridge: Cambridge Univ. Press.
14. Rudin, W. 1962. Fourier analysis on groups. New York: Wiley-Interscience.
15. Rudin, W. 1977. Functional analysis. New York: McGraw-Hill.
16. Southwell, R. 1946. Relaxation methods in theoretical physics. Oxford: Oxford University Press.
17. Stewart, G., D. Gorinevsky, and G. Dumont. 2003. Feedback controller design for a spatially distributed system: The paper machine problem. IEEE Trans. on Control Systems Technology 11(5):612-628.
18. Timoshenko, S. and S. Woinowsky-Krieger. 1959. Theory of plates and shells. New York: McGraw-Hill.