Title :
Nonlinear analysis of a high-resolution optical wave-front control system
Author :
Justh, E.W. ; Krishnaprasad, P.S. ; Vorontsov, M.A.
Author_Institution :
Inst. for Syst. Res., Maryland Univ., College Park, MD, USA
Abstract :
A class of feedback systems for high-resolution optical wave-front control (of adaptive optic wave-front distortion suppression) is modeled and analyzed. Under certain conditions, the nonlinear dynamical system models obtained are shown to be gradient systems, with energy functions that also serve as Lyapunov functions. The approach is applied to a problem of nonlinear control system design, and the analysis is also applicable to other problems involving high-resolution control of physical fields, particularly if the field sensing is performed optically
Keywords :
Fourier transform optics; Lyapunov methods; adaptive optics; control system synthesis; feedback; nonlinear dynamical systems; Fourier phase filtering; Lyapunov functions; adaptive optics; energy functions; feedback; nonlinear dynamical system; optical wave-front control system; Adaptive optics; Lyapunov method; Nonlinear control systems; Nonlinear distortion; Nonlinear dynamical systems; Nonlinear optics; Optical control; Optical distortion; Optical feedback; Optical sensors;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912208
