Synthesis of optimal regulators for segmented mirror figure control

Nicolay A. Lavrov; Victor I. Sidorov

doi:10.1117/12.211460

8 June 1995 Synthesis of optimal regulators for segmented mirror figure control

Nicolay A. Lavrov, Victor I. Sidorov

Proceedings Volume 2479, Telescope Control Systems; (1995) https://doi.org/10.1117/12.211460
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

This report is devoted to the method of optimal regulator synthesis for the control of segmented mirror surface form. The segmented mirror operating frequency range spreads from several hertz up to hundreds hertz. Positioning accuracy is several nanometers. That is why it is important to develop a method of optimal synthesis of the control system, meeting the `basic' functional criterion as well as the given dynamic characteristics of the segmented mirror. Minimum root-mean deviation (RMD) of the current surface form from the desired form is used as the basic functional criterion. This criterion is defined as a quadratic form of the segment displacement at the points of the actuator location. The desired dynamic characteristics of the closed-loop system are given in a form of the standard differential operator. The construction method for the quality function is proposed, which minimizes the difference between the closed-loop object dynamic characteristics and the standard operator.

Citation Download Citation

Nicolay A. Lavrov and Victor I. Sidorov "Synthesis of optimal regulators for segmented mirror figure control", Proc. SPIE 2479, Telescope Control Systems, (8 June 1995); https://doi.org/10.1117/12.211460

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