Tip-tilt-piston motion control of fast steering mirror in the Giant Magellan telescope using mixed sensitivity H∞ method

Author

Jeong, Je-Young ; Ahn, Hyo-Sung ; Kim, Young-Soo

Author_Institution

Sch. of Mechatron., Gwangju Inst. of Sci. & Technol.(GIST), Gwangju, South Korea

fYear

2012

fDate

8-10 July 2012

Firstpage

57

Lastpage

62

Abstract

This paper describes designing a tip-tilt-piston motion controller of fast steering mirror(FSM) in the Giant Magellan telescope(GMT) as a preliminary study. The mathematical model of tip-tilt-piston motion system of FSM is derived by using second-order differential equation approximation, which the overall model is considered as Multi-Input Multi-Output(MIMO) system. Based on this model, a H_∞ controller is designed with mixed sensitivity approach. It´s solved by two Riccati equations through selecting the appropriate weighting functions.

Keywords

MIMO systems; Riccati equations; astronomical telescopes; differential equations; mirrors; motion control; optical control; Giant Magellan telescope; MIMO system; Riccati equations; fast steering mirror; mathematical model; mixed sensitivity H∞ method; multiinput multioutput system; second-order differential equation approximation; tip-tilt-piston motion control; weighting functions; Mathematical model; Mirrors; Noise; Sensitivity; Stability analysis; Telescopes; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Embedded Systems and Applications (MESA), 2012 IEEE/ASME International Conference on

Conference_Location

Suzhou

Print_ISBN

978-1-4673-2347-5

Type

conf

DOI

10.1109/MESA.2012.6275537

Filename

6275537