Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Design of Multi-input Multi-output Positive Position Feedback Controller Based on Block-inverse Technique

블록 역행렬 기법에 의한 다중입출력 양변위 되먹임제어기의 설계

  • Published : 2005.09.01
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Abstract

This paper is concerned with the active vibration control of a grid structure equipped with piezoceramic sensors and actuators. The grid structure is a replica of the solar panel commonly mounted on satellites, which contains complex natural mode shapes. The multi-input and multi-output positive position feedback controller is considered as an active vibration controller for the grid structure. A new concept, the block-inverse technique, is proposed to cope with more modes than the number of actuators and sensors. This study also deals with the stability and the spillover effect associated with the application of the multi-input multi-output positive position feedback controller based on the block-inverse technique. It was found that the theories developed in this study are capable of predicting the control system characteristics and its performance. The new multi-input multi-output positive position feedback controller was applied to the test structure using a digital signal processor and its efficacy was verified by experiments.

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References

  1. Crawley, E. F. and de Luis, J., 1987, 'Use of Piezoelectric Actuators as Elements of Intelligent Structures', AIAA Journal, Vol. 25, No. 10, pp. 1373-1385 https://doi.org/10.2514/3.9792
  2. Crawley, E. F. and Anderson, E. H., 1990, 'Detailed Models of Piezoceramic Actuation of Beams', Journal of Intelligent Material Systems and Structures, Vol. 1, No. 1, pp. 4-25 https://doi.org/10.1177/1045389X9000100102
  3. Hanagud, S., Obal, M. W. and Calise, A. J., 1992, 'Optimal Vibration Control by the Use of Piezoceramic Sensors and Actuators', Journal of Guidance, Control, and Dynamics, Vol. 15, No. 5, pp. 1199-1206 https://doi.org/10.2514/3.20969
  4. Fanson, J. L. and Caughey, T. T., 1990. 'Positive Position Feedback Control for Large Space Structures,' AIAA Journal, Vol. 28, No. 4. April pp. 717-724 https://doi.org/10.2514/3.10451
  5. Poh, S. and Baz, A., 1990. 'Active Control of a Flexible Structure Using a Modal Positive Position Feedback Controller', Journal of Intelligent Material Systems and Structures, Vol. 1
  6. Meirovitch, L. and Baruh, H. 1982, 'Control of Self-adjoint Distributed-parameter Systems', Journal of Guidance and Control, Vol. 5, pp. 60-66 https://doi.org/10.2514/3.56140
  7. Friswell, M. I. and Inman, D. J., 1999. 'The Relationship between Positive Position Feedback and Output Feedback Controllers', Smart Materials and Structures, Vol. 8, pp. 285-291 https://doi.org/10.1088/0964-1726/8/3/301
  8. 곽문규, 한상보, 허석, 2004, '양변위 되먹임 제어기의 안정성, 제어 성능 및 설계 방법', 한국소음진동공학회논문집, 제 14 권 제 3 호, pp. 208-213
  9. Denoyer, K. K. and Kwak, M. K., 1996, 'Dynamic Modeling and Vibration Suppression of a Slewing Active Structure utilizing Piezoceramic Sensors and Actuators', Journal of Sound and Vibration, Vol. 189, No. 1, Jan. pp. 13-31 https://doi.org/10.1006/jsvi.1996.0003
  10. Kwak, M. K. and Sciulli, D., 1996, 'Fuzzy-logic Based Vibration Suppression Control Experiments on Active Structures', Journal of Sound and Vibration, Vol. 191 No. 1, pp. 15-28 https://doi.org/10.1006/jsvi.1996.0104
  11. Hwang, W. -S., Park, H. C. and Hwang, W., 1993, 'Vibration Control of a Laminated Plate with Piezoelectric Sensor/Actuator: Finite Element Formulation and Modal Analysis', Journal of Intelligent Material Systems and Structures, Vol. 4, pp. 317-329 https://doi.org/10.1177/1045389X9300400304
  12. 허석, 김기영, 곽문규, 2004, '아날로그 회로와 마이크로 프로세서를 이용한 PPF 제어기의 구현', 한국소음진동공학회논문집, 제 14 권, 제 6 호, pp. 455-462
  13. 라완규, 곽문규, 윤광준, 1997, '압전감지기와 작동기를 이용한 복합재료 격자 구조물의 능동진동제어', 한국항공우주학회지, 제 25 권, 제 5 호, pp. 76-85
  14. 곽문규, 라완규, 윤광준, 1997, 'PPF와 SRF 혼합제어기법을 이용한 복합재료 격자 구조물의 능동진동제어', 한국소음진동공학회논문집, 제 7 권, 제 5호, pp. 811-817
  15. 곽문규, 1998, '지능구조물의 능동진동제어를 위한 PPF 제어기와 수정 LQG 제어기의 비교 연구', 한국소음진동공학회논문집, 제 8 권, 제 6호, pp. 1121-1129
  16. http://www.dspaceinc.com
  17. http://www.mathworks.com