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On the Experimental Modeling of Focal Plane Compensation Device for Image Stabilization of Small Satellite

소형위성 광학탑재체의 영상안정화를 위한 초점면부 보정장치의 실험적 모델링에 관한 연구

  • Kang, Myoung-Soo (Department of Aerospace and Mechanical Engineering, Graduate School at KAU) ;
  • Hwang, Jai-Hyuk (Department of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Bae, Jae-Sung (Department of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Park, Jean-Ho (Department of Aerospace and Mechanical Engineering, Graduate School at KAU)
  • Received : 2015.04.04
  • Accepted : 2015.07.21
  • Published : 2015.08.01

Abstract

Mathematical modeling of focal plane compensation device in the small earth-observation satellite camera has been conducted experimently for compensation of micro-vibration disturbance. The PZT actuators are used as control actuators for compensation device. It is quite difficult to build up mathematical model because of hysteresis characteristic of PZT actuators. Therefore, the compensation device system is assumed as a $2^{nd}$ order linear system and modeled by using MATLAB System Identification Toolbox. It has been found that four linear models of compensation device are needed to meet 10% error in the input frequency range of 0~50Hz. These models describe accurately the dynamics of compensation device in the 4 divided domains of the input frequency range of 0~50Hz, respectively. Micro-vibration disturbance can be compensated by feedback control strategy of switching four models appropriately according to the input frequency.

본 논문에서는 소형 지구관측 위성의 광학카메라에 들어가는 미소진동을 보상하기 위한 초점면부 보정장치 시스템의 실험적 모델링을 수행하였다. 미소진동 외란을 보상하는 초점면부 보정장치의 구동기로 PZT 압전작동기를 적용하였다. 압전작동기는 히스테리시스 고유 특성을 갖게 되므로 보정장치 시스템의 정확한 수학적 모델링을 얻는데 어려움이 있다. 따라서 본 연구에서는 보정장치 시스템을 2차 선형시스템으로 가정하고 MATLAB의 시스템 식별 툴박스(System Identification Toolbox)를 이용하여 실험적으로 모델링을 수행하였다. 외란의 주파수 범위인 0~50Hz에서 응답 오차 10%를 만족하기 위해 단일 선형 모델로는 불가능하며 총 4개의 선형 모델이 필요하다. 각각의 모델은 0~50Hz 입력범위를 4개의 구간으로 나눈 영역에서 실제 동역학을 잘 표현 하고 있다. 미소진동 외란의 보상은 입력주파수에 따라 모델 스위칭 기법을 적용한 초점면부 보정장치 제어를 통해 이루어진다.

Keywords

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