A DECOMPOSITION APPROACH TO DISTRIBUTED CONTROL OF DYNAMIC DEFORMABLE MIRRORS

作者：Fraanje Rufus^*; Massioni Paolo; Verhaegen Michel

来源：International Journal of Optomechatronics, 2010, 4(3): 269-284.

DOI：10.1080/15599612.2010.512380

• adaptive optics
• biharmonic operator
• decomposable systems
• distributed control
• thin plate PDE
• (sic)(2) optimal control

Deformable mirrors with spatially invariant dynamic response can be considered as part of the class of decomposable systems. Such systems can be thought of as the interconnection of a number of identical subsystems, and they can be used to model certain classes of large scale systems. We show in this article that the technique allows the design of a distributed (sic)(2) controller for a deformable mirror of any size, with a computational cost that does not increase with the size of the mirror. The method shows a performance close to that of the centralized (sic)(2) optimal controller in a simulation example, which is about two times better (in terms of (sic)(2) norm) than the performance of a decentralized PI controller, with additional notches to suppress the high resonance frequencies of the deformable mirror.

• 出版日期2010