Adaptive filter and linear quadratic Gaussian/loop transfer recovery compensator combination control of a non-linear tip-tilt mirror

Youming Guo; Xiaoyu Ma; Changhui Rao

doi:10.1117/12.970528

15 October 2012 Adaptive filter and linear quadratic Gaussian/loop transfer recovery compensator combination control of a non-linear tip-tilt mirror

Youming Guo, Xiaoyu Ma, Changhui Rao

Author Affiliations +

Proceedings Volume 8415, 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes; 84150X (2012) https://doi.org/10.1117/12.970528
Event: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT 2012), 2012, Xiamen, China

Abstract

Adaptive control of a tip-tilt mirror requires precise model estimation, which is difficult for the nonlinear features of piezoelectric actuators such as creep, hysteresis and resonance. A linear quadratic Gaussian control/loop transfer recovery (LQG/LTR) based compensation of the non-linearity is used, which employs a high sampling frequency position sensor to measure the displacements of the tip-tilt mirror and feedbacks the modified command needed to make the actuator response linearly to input command. A normalized LMS adaptive filter whose gains are adjusted by weight updating algorithm to minimize the mean square error of the output is used in order to reduce the jitter introduced by kinds of broadband and narrowband disturbance. The principle of an adaptive filter and LQG/LTR compensator combination control of a nonlinear tip-tilt mirror is introduced. The method is compared with the integrator and LQG/LTR combination control by numerical simulation. Results reveal that the adaptive filter and LQG/LTR compensator combination control is more effective and has less tracking residual error.

Citation Download Citation

Youming Guo, Xiaoyu Ma, and Changhui Rao "Adaptive filter and linear quadratic Gaussian/loop transfer recovery compensator combination control of a non-linear tip-tilt mirror", Proc. SPIE 8415, 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes, 84150X (15 October 2012); https://doi.org/10.1117/12.970528

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Mirrors

Digital filtering

Nonlinear filtering

Electronic filtering

Filtering (signal processing)

Nonlinear control

Control systems

Show All Keywords

Keywords/Phrases

Search In:

Publication Years