雖然近年來有相關文獻在致動器與感測器的配置問題上，但較少研究建立在複材機翼結構模式上，且大多是處理成對感測器與致動器共同置於同一位置上的問題，較少文獻提及分開任意的擺放情形。
　　本文以之前所建立的複材機翼(Hwu and Gai,2003)為模型，在考慮前三個模態下，以振幅及輸入電壓構成之二次形式為目標函數，用最佳化的方法找出感測器與致動器的最佳配置。在致動器與感測器的材料選擇上採用壓電材料，並黏附在機翼上下表面，在控制器設計上採用最佳控制理論求得迴授增益，並選用Kalman filter作為本系統的估測器，最後利用MATLAB 撰寫最佳化程式，並分別針對不同個數選擇下找出最佳位置。

　　Although some investigations about optimal placements of sensors and actuators can be found, it’s rare seen the research concering the composite wing structures. Besides, it is often hard to see separated placements cases compared with collocated cases.
　　The purpose of this paper is to find the optimal placement of actuators and sensors for composite wing structures. In optimization problem,a quadratic function related to the vibration amplitude and control input is defined as the objective function which will be minimized to find the optimal placements.
　　In vibration control, the first three natural vibration modes are considered. Piezoelectric materials are selected as actuators and sensors which are bonded on the upper and lower wing surfaces.
　　Using Linear Quadratic Gaussian (LQG) algorithm to be the controller design and chosing Kalman estimator as state observer for this system, a feedback control system is designed and implemented.
　　Finally, in optimal placement analysis, the numerical simulations are done by the software MATLAB and the optimal locations are presented for different cases.

Arockiasamy, M., Neelakanta, P. S. and Sreenivasan, G., “Vibration Control of Beam with Embedded Smart Composite Material,”Journal of Aerospace Engineering, Vol. 5, No.4, pp.492-498 , 1992
Bryson, J. and Arthur, E. “Applied Optimal Control: Optimization, Estimation, and Control ”, Taylor and Francis, 1975.
Georgem, M.S., “An Engineering Approach to Optimal Control and Estimation Theory,”John wiley & Sons, Inc, 1996
Franklin, G. F., Powell, J. D., and Abbas, E.N., “Feedbackm Control of Dynamic System,”Addison-Wesley Publishing Company, 1991
Halim, D., Reza Moheimani, S.O., “An Optimization Approach to Optimal Placement of Collocated Piezoelectric Actuators and Sensors on a Thin Plate,”Journal of Mechatronics, Vol. 13, pp.27-47, 2003
Hwu., C., and Gai, H. S., “Vibration Analysis of Composite Wing Structures by a Matrix Form Comprehensive Model,” AIAA Journal, Vol.41,No.11,pp.2261-2273 , 2003
Huibert, K., Raphael, S., “Linear Optimal Control System,” John wiley & Sons, Inc, 1972
Han, J.H., Rew, K. H. and Lee, I., “An Experimental Study of Active Vibration Control of Composite Structures With a Piezo-Ceramic Actuator and Piezo-Film Sensor,”Journal of Smart Material and Structure, pp.549-558 , 1997
Kang, Y.M., Hwang, W., and Han, K.S., “Optimum Placement of Piezoelectric Sensor/Actuator for Vibration Control of Laminate Beams,” AIAA Journal, Vol. 34, No.9,Sept., pp.1921-1926 , 1996
Levine, W.S., Athans, M., “On the Determination of the Optimal Constant Output Feedback Gains for Linear Multivariable System,”IEEE Transactions on Automatic Control, Vol. AC-5, No. 1, pp.44-48 , 1970
Makola, M.A., “Optimal Location and Gains of Feedback Controllers at Discrete Locations,” AIAA Journal, Vol. 36, No.11,Novermer., pp.2109-2116, 1998
Meirovitch, L., “Dynamics and Control of Structures,” John Wiley & Sons, New York, 1990.
Osama, J.A., Tarunraj, S., and Robert, C.W., “Realistic Determination of the Optimal Size and Location of Piezoelectric Actuator/Sensors,” Proceedings of the 1997 IEEE International Conference on Control Applications , 1997
Peter,D.,Chaouki,A.,andVito,C.,“Linear-Quadratic Control,”Prentice Hall
Sungsoo, N., Liviu, L., “Oscillation Control of Cantilevers via Smart Materials Technology and Optimal Feedback Control: Actuator Location and Power Consumption Issues,”Journal of Smart Material and Structure, Vol. 7, pp.833-842 , 1998
Zhongdong, A., Suhuan, C., and WanZhi, H., “Integrate Structure and Control Optimization of Intelligent Structures,” Engineering Structures, Vol. 21, pp.183-191 , 1999
章雯琦, “複材夾心樑之振動分析與控制”, 國立成功大學航空太空研究所碩士論文,2002
蓋欣聖, “複材機翼結構之振動與控制”, 國立成功大學航空太空研究所碩士論文,2002
余孟駿, “複材機翼結構之動態分析”, 國立成功大學航空太空研究所碩士論文,2003