유연 체에 가해진 불규칙한 외란의 규명 및 LMI 기법을 통한 제어에 관한 연구 = (A) study on identification of unknown noise on structural system and control using LMI technique

다국어 초록 (Multilingual Abstract)

This thesis is focused in two ways on the problem of 1-dimensional system under noise-type disturbance whose basic characters such as physical location of source are totally unknown.
First, the noise implied on the system is identified by using correlation function. In order to identify the noise source location, signals from each points on the system are detected through piezoelectric sensors, and the location is identified by a concept called "Noise Source Surface".
Second, the system is formulated in the physical domain and transformed to the stochastic domain to elicit a control gain. LMI approach is used to find proper feedback gain from the ordinary differential equation in stochastic domain for the system. The gain is adopted to the system in the physical domain to confirm the performance of LMI technique.
Successful performance of proposed idea for identification and control is revealed via simulations and experiments for the system. In the experiment Piezo-ceramic is used to control the system, laser variation detector is used to get the information of the variation of beam's fluctuation.

목차 (Table of Contents)

• Abstract i
• 요 약 iii
• 목 차 iv
• 그림목차 v
• 표 목 차 vi
• 기호설명 vii
• 1. 개 요 1
• 2. 외란 규명 3
• 2.1. N.S.S.(Noise Source Surface)에 관한 해석 3
• 2.2. 외란 규명(Simulation) 3
• 2.3. 외란 규명(Experiment) 6
• 3. 시스템 모델링 9
• 3.1. 작동기 모델링 9
• 3.2. 복합재료보의 지배방정식 11
• 3.3. 모달해석 14
• 3.4. 2차 근사모델 19
• 4. 작동기의 위치 결정 21
• 4.1. 작동기의 위치 결정 방안 연구 21
• 4.2. 작동기의 위치에 따른 복합재료보의 응답 26
• 5. 확률영역에서의 LMI 기법 적용 27
• 5.1. LMI 기법 소개 27
• 5.2. F-P-K방법을 이용한 지배방정식의 변환과 LMI기법의 적용 29
• 5.3. LMI 기법을 적용한 시스템 응답 32
• 5.3.1. 제어 이득에 따른 시스템 응답(Simulation) 32
• 5.3.2. 제어 이득에 따른 시스템 응답(Experiment) 35
• 6. 결론 및 향후 과제 39
• 부 록(확률제어 및 Monte-Carlo Method) 41
• 7. 참 고 문 헌 50
• 감사의 글