以辛振態疊加法探討多自由度結構受震之H∞控制問題

Chun-Kai Chuang; 莊淳凱

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33312

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.advisor	洪宏基
dc.contributor.author	Chun-Kai Chuang	en
dc.contributor.author	莊淳凱	zh_TW
dc.date.accessioned	2021-06-13T04:34:06Z	-
dc.date.available	2006-07-25
dc.date.copyright	2006-07-25
dc.date.issued	2006
dc.date.submitted	2006-07-19
dc.identifier.citation	[1] Anderson, B. D. O. and Moore, J. B., Linear optimal control, Prentice Hall, New Jersey, 1990. [2] Arrowsmith, D. K. and Place, C. M., Dynamical systems, Chapman and Hall, London, 1992. [3] Arthur, E. and Bryson, Jr., Optimal control-1950 to 1985, IEEE Control Systems, Vol.16, No.3, pp.26-33, 1996. [4] Basar, T. and Bernhard, P., H1-optimal control and related minimax design problems, Birkh¨auser, Berlin, 1991. [5] Cheng, D., Shen, T. and Tran, T. J., Pseudo-Hamiltonian realization and its application, Communications in Information and System, Vol.2, No.2, pp.91-120, 2002. [6] Clough, R. W. and Penzien, J., Dynamics of structures, McGraw Hill, Singapore, 1993. [7] Doyle, J., Francis, B. and Tannenbaum, A., Feedback control theory, Macmillan, 1990. [8] Doyle, J. C., Glover, K., Khargonekar, P. P. and Francis, B. A., State-space solutions to standard H2 and H1 control problem, IEEE Transactions on Automatic Control, Vol.34, No.8, pp.831-847, 1989. [9] Fang, J. Q., Li, Q. S. and Jeary, A. P., Modified independent modal space control of m.d.o.f systems, Joirnal of Sound and Vibration, Vol.261, pp.421-441, 2003. [10] Fujimoto, K., Sugie, Canonical transformation and stabilization of generalized Hamiltonian systems, Systems and Control Letters 42, pp.217-227, 2001. [11] Hildebrand, F. B., Methods of applied mathematics, Dover, New York, 1992. 34 [12] Haddad, W. M. and Bernstein, D. S., Controller design with regional pole constraints , IEEE Transactions on Automatic Control, Vol.37, No.1, pp.54-69, 1992. [13] Hocking, L. M., Optimal control, Oxford university, Oxford, 1991. [14] Hong, H.-K., Liu, C.-S. and Liou, D.-Y., Complete state LQ optimal control of earthquakeexcited structures, Proceedings of National Science Council,Republic of China.Part A,Physical science and engineering, Vol.18, No.4, pp.386-399, 1994. [15] Hong, H.-K., Liu, C.-S. and Liou, D.-Y., An IVP formulation for stabilized optimal linear quadratic control of plants against external disturbances. [16] Khalil, H. K., Nonlinear systems, Prentice Hall, New Jersey, 1996. [17] Kobori, T., Koshika, N., Yamada, K. and Ikeda, Y., Seismic-response-controlled Structure with active mass driver system. Part 1: Design, Earthquake Engineering and Structural Dynamics, Vol.20, pp.133-149, 1991. [18] Kobori, T., Koshika, N., Yamada, K. and Ikeda, Y., Seismic-response-controlled Structure with active mass driver system. Part 2: Verification, Earthquake Engineering and Structural Dynamics, Vol.20, pp.151-166, 1991. [19] Khargonekar, P. P., Nagpal, K. M. and Poolla, K. R., H1 control of linear system with nonzero initial conditions, Proceedings of the 29th Conference of Decision and Control, Hawaii, pp.1821-1826, 1990. [20] Khargonekar, P. P. and Petersen, I. R., H1 -optimal control with state-feedback, IEEE Transactions on Automatic Control, Vol.33, No.8, pp.786-788, 1988. 35 [21] Li, Q. S., Fang, J. Q., Jeary, A. P. and Liu, D. K., Decoupling control law for structual control implementation, International Journal of Solids and Structures, Vol.38, pp.6147-6162, 2001. [22] Maschke, B. M. J., Ortega, R. and van der Schaft, A. J., Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation, Proceedings of the 37th IEEE Conference on Decision and Control, Vol.4, pp.3599-3604, 1998. [23] Nagpal, K. M. and Khargonekar, P. P., Filtering and Smoothing in an H1 setting, IEEE Transactions on Automatic Control, Vol.36, No.2, pp.152-166, 1991. [24] Petersen, I. R., Complete results for a class of state feedback disturbance attenuation problems, Proceedings of the 27th Conference of Decision and Control, Texas, pp.1349-1353, 1988. [25] Siegel, C. L., Symplectic geometry, Academic, New York, 1964. [26] Soong, T. T., Active structural control theory and practice, John Wiley and Sons, New York, 1990. [27] Uchida, K. and Fujita, M., Finite horizon H1 control problem with terminal penalties, IEEE Transactions on Automatic Control, Vol.37, No.11, pp.1762-1767, 1992. [28] Wang, Y. W. and Bernstein, D. S., H2 / H1 optimal control synthesis with an -shifted pole constraint , Proceedings of the 31st Conference on Decision and Control, Vol.4, pp.3711-3716, 1992. [29] Wu, Z. and Soong, T. T., Modified bang-bang control law for structural control lmplementation, Journal of Engineering mechanics, Vol.221, pp.771-777, 1996. 36 [30] Xi, Z. and Cheng, D., Passivity-based stabilization and H1 control of the Hamiltonian control systems with dissipation and its application to power systems, International Journal of Control, Vol.73, No.18, pp.1686-1691, 2000. [31] Yang, J. N., Lin, S., Kim, J-H. and Agrawal, A. K., Optimal design of passive energy dissipation systems based on H1 and H2 performances, Earthquake Engineering and Structural Dynamics, Vol.31, No.4, pp.921-936, 2002. [32] Zhang, L., Yang, C. Y., Chajes, M. J. and Cheng, A. H-D., Stability of active-tendon structural control with time delay, Journal of Engineering mechanics, ASCE, Vol.119, No.5, pp.1017- 1024, 1993. [33]洪宏基, 結構動力辛計算及控制方法, 行政院國家科學委員會補助專題研究計畫成果報告,計畫編號: NSC 89-2211-E-002-033, 執行期間: 88年08月01日至89年07月31日, 國立台灣大學土木工程學研究所. [34]洪宏基, 結構動力辛計算及控制方法, 行政院國家科學委員會補助專題研究計畫成果報告,計畫編號: NSC 89-2211-E-002-123, 執行期間: 89年08月01日至90年07月31日, 國立台灣大學土木工程學研究所. [35]鍾萬勰, 辛彈性力學, 高等教育出版社, 北京, 2002. [36]鍾萬勰, 應用力學對偶體系, 科學出版社, 北京, 2002. [37]鍾萬勰, 互等定理與共軛辛正交關係, 力學學報, Vol.24, No.4, pp.432-437, 1992. [38]鍾立來, 結構主動控制之簡介, 結構工程, 第七卷, 第四期, pp.65-70, 1992. [39]鍾立來, 結構主動控制之狀態空間系統, 結構工程, 第八卷,第二期, pp.89-98, 1993. [40]鍾立來, 結構主動控制之最佳控制律, 土木工程技術, 第二期, pp.27-42, 1996.
dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33312	-
dc.description.abstract	本研究運用振態解耦化的觀念，將H∞ 控制理論引入振態上，完成振態最佳控制，可以視工程需要考慮重要的振態來施加控制力，控制器與振態之間的關係達到多控制器多振態的多種變化選擇方式，靈活度高;而目標函數作適當的修正，以正確的變分法則將結構控制問題成功轉為工程師所熟悉的初始值問題以利求解；並考慮振態系統陣的漸進穩定，解決控制參數inf γ 需要利用計算器反覆搜尋的缺點。另外，本研究亦針對H∞ 控制理論誘導範數的選取以推導證明給予合理性，解決文獻中對誘導範數如何選取的隱誨不明。	zh_TW
dc.description.provenance	Made available in DSpace on 2021-06-13T04:34:06Z (GMT). No. of bitstreams: 1 ntu-95-R93521223-1.pdf: 12774505 bytes, checksum: 5576889f5e47569282cb86dc0b2b74d0 (MD5) Previous issue date: 2006	en
dc.description.tableofcontents	誌謝………………………………………………………………………… 一摘要………………………………………………………………………… 二目錄………………………………………………………………………… 三表目錄……………………………………………………………………… 五圖目錄……………………………………………………………………… 七第一章導論 1.1 研究動機與目的………………………………………………… 1 1.2 文獻回顧………………………………………………………… 2 1.3 研究方法與內容………………………………………………… 3 第二章辛空間之最佳H∞ 振態控制 2.1 多自由度結構系統…………………………………………… 4 2.2 相空間之H∞ 控制……………………………………………… 4 2.3 位形空間之振態解耦與辛空間之辛振態解耦……………… 6 2.4 辛空間之最佳H∞ 振態控制…………………………………… 10 2.5 inf ( )i γ 之求解………………………………………………… 19 2.5.1 對振態位移加權………………………………………… 20 2.5.2 對振態速度加權………………………………………… 22 第三章數值實例……………………………………………………… 25 四第四章結論與建議…………………………………………………… 32 參考文獻…………………………………………………………………… 34 附表………………………………………………………………………… 39 附圖………………………………………………………………………… 48 符號對照表………………………………………………………………… 105 附錄A H∞ 控制理論誘導範數之推導證明………………………… 107 附錄B 辛空間V−1 關係討論…………………………………………… 115
dc.language.iso	zh-TW
dc.subject	主動控制	zh_TW
dc.subject	辛空間	zh_TW
dc.subject	H∞控制	zh_TW
dc.subject	symplectic space	en
dc.subject	active control	en
dc.subject	H∞ control	en
dc.title	以辛振態疊加法探討多自由度結構受震之H∞控制問題	zh_TW
dc.title	Symplectic modal superposition method for H∞ control of earthquake-excited structures	en
dc.type	Thesis
dc.date.schoolyear	94-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	陳明新,鍾立來,吳重成
dc.subject.keyword	辛空間,H∞控制,主動控制,	zh_TW
dc.subject.keyword	symplectic space,H∞ control,active control,	en
dc.relation.page	115
dc.rights.note	有償授權
dc.date.accepted	2006-07-20
dc.contributor.author-college	工學院	zh_TW
dc.contributor.author-dept	土木工程學研究所	zh_TW
顯示於系所單位：	土木工程學系

文件中的檔案：

檔案	大小	格式
ntu-95-1.pdf 未授權公開取用	12.48 MB	Adobe PDF

顯示文件簡單紀錄

系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。