模糊滑動模態控制可以幫助模糊控制滿足傳統控制理論的一些要求，並且可以簡化模糊控制的變數個數，進而降低模糊控制控制法則的數目。模糊滑動模態控制可因隸屬函數的定義位置不同，使得控制在不同狀況有不同的控制力變化率，達到更有效的控制。在強健控制設計時必須假設系統參數變化範圍與外界干擾上限均為已知，但在許多已知應用系統中，這些變化範圍並不易估算，所以只得過估其不確定界(uncertain bounds)以確保滑動模態迫近條件成立。本文提出以適應性模糊模態控制予以解決，初始時控制器先給予一個估計的上界，經由以Lyapunov 理論所推導出的調整法則(adaptive law)，調整以模糊邏輯系統(fuzzy logic system)為控制器架構中的隸屬函數的位置，不僅調整上界，對內部的各控制變數的隸屬函數亦同時予以調整，所以可以修正原先大略設計的控制器，使其更具控制效率。
本文將提出以輸出回饋的方法，來決定控制力的大小，利用強健性輸出回饋滑動模態控制設計，為了使滑動模態動力行為的強健性最大，採用正規矩陣設計。
本文最終將發展出一可處理非線性、不確定性的強健控制，而且其具有可調整的能力，並將其應用於土木結構中。土木結構將探討橋梁與房屋結構，橋梁有三種形式，分別為未安裝隔震裝置、裝置LRB、裝置摩擦滑動式隔震橋梁；房屋結構將研究應用於裝置LRB、裝置摩擦滑動式隔震的房屋結構，使用的地震力除了真正發生的El Centro 地震、集集大地震，並將以長週期人工地震、寬頻白訊(wide pass white noise)人工地震，以驗證本控制法的有效性。

Abdel-Rohman, M., Leipholz, H. H., “Structural Control by Pole Assignment Method,” ASCE, J.Eng. Mech. Div., Vol.104, No.EM5, pp1159-1175, 1978
Abdel-Rohman, M., “Active Control of Large Structures", ASCE, J. Eng. Mech., Vol.108, No.EM5, pp719-730, 1982
Abdel-Rohman,M., “Time-delay Effects on Actively Damped Structures", ASCE, J. Eng. Mech., Vol.113,No.11, pp1709-1719, 1987
Agrawal.A.K., ”Instability due to Time delay and its Compensation in Active Control of Structures", Earth. Eng. and Str. Dyn., Vol.22, pp211-224, 1993
Ambrosino,G., Celentano, G. and garofalo, F., “variable structure model reference adaptive control system,” Int. J. Contr., vol.39, no.6, pp31-39, 1984
Bag, S.K., Spurgeon,S.K. and Edwards, C., “Output feedback sliding mode design for linear uncertain systems,” IEE Pro.- Control Theory Appl., vol. 144, no. 3, pp.209-216, 1997
Baily, E., and Arapostathis, A., “Simple sliding mode control scheme applied to robot manipulator,” Int. J. Control, vol.45, pp1197-1209, 1987
Bani-Hani, K. and Ghaboussi, J., “Nonlinear structural control using neural networks,” ASCE, J. of Eng. Mech., vol.124, no.3, pp.319-327, 1998
Batur,C.,Kasparian,V., ”Adaptive Expert Control", Int. J. Control, Vol.54,No.4, pp867-881, 1991
Buckley,J.J.,”Fuzzy I/O Controller", Fuzzy Sets and Fuzzy Systems, 43, pp127-137. 1991
Burdisso,R.A., Suarez, Fuller,C.R., ”Feasibility Study of Adaptive Control of Structures Under Seismic Excitation,” ASCE, J. Eng. Mech., Vol.120,No.3, p580-592, 1994
Chanbsheng, J., “New method of robust pole assignment by output feedback,” IEE Proceedibd-D, vol.138, no.2, pp.172-176, 1991
Chang, K.C., Soong, T.T., Oh, S.T., and Lai, M.L., “ Effect of ambiemt temperature on viscoelastically damped structure,” ASCE, J. of structural engineering, vol. 118, no.7, pp.1955-1973, 1992
Chien, C.J. and Fu, L.C., “ A new robust model reference control with improved performance for a class of multivariable unknown plants,” Int. J. of Adaptive Control and Singnal Processing, 6, pp.69-93, 1992
Chien, C.J., Sun, K.C. Wu, A.C. and Fu, L.C., “ A robust MARC using variable structure design for multivariable plants,” Automatica, 32, pp.833-848, 1996
Chung,L.L., Soong,T.T., ”Experiments Active Control of Seismic Structures", ASCE, J. Eng. Mech., Vol.114,No.2, pp241-256, 1988a
Chung,L.L., Soong,T.T., ”Experiments Study of Active Control for MDOF Seismic Structures",ASCE, J. Eng. Mech., Vol.115,No.8, pp1609-1627, 1988b
Chung,L.L., Lin,C.C., Chu,S.Y., ”Optimal Direct Output Feedback of Structural Control,” ASCE, J. Eng. Mech., Vol.119,No.11, p2157-2173, 1993
Decarlo, R.A., Zak, S.H., and Mattews, G.P., “Variable structure control of nonlinear multivariable system: A yutorial,” Proceedings of IEEE, vol.76, pp212-232, 1988
Diong, B.M., and Medanic, J.V., “Dynamic output feedback variable structure control for system stabilization,” Int,. J. Control, vol. 56, pp. 607-630, 1992
Dwyer, T.A.W. and Kim, J., “Bandwidth-limted robust sliding control of multiaxial spacecraft tracking and pointing maneuvers,” Variable structure control for robotics and aerospace applications, Elsevier Science, pp279-294, 1993
Edwards, C., and Spurgeon, S.K., “Sliding mode stabilization of uncertain systems using only output information,” Int. J. Control, vol.62, pp.1129-1144,1995
Feng, M.Q., Shinozuka, M. and Fujii, S., “Friction-Controllable sliding isolation system,” ASCE, J. of Engineering Mechanics, vol. 119, no. 5, pp.1845-1864, 1993
Filev,D.P., Yager,R.R., ”On the Analysis of Fuzzy Logic Controllers", Fuzzy Sets and Fuzzy Systems, 68,pp39-66, 1994
Filippov, A.F., “Differential equations with discontinuous right-hand sides,” Translated in English, Am. Math. Soc. Trans., 62, 199, 1964
Fu, L.C. and Liao, T.L., “Globally stable robust tracking of nonlinear system using VSC and with an application to a robotic manipulator,” IEEE Trans. Automat. Contr., vol.AC-35, no.12, pp.1345-1350, 1990
Fu, L.C., “A robust method reference adaptive control using variable structure adaptation for a class of plants,” Automatica, 28, pp.911-925, 1992
Ghaboussi, J. and Joghatate, A., “ Active control of structures using neural networks,” ASCE, J. of Eng, Mech., vol.121, no.4, pp. 555-567, 1995
Gooddrz, L.S. and Tadjbakhsh, I.G., “ A comparative study of performances of various base isolation system, part I: shear beam structure, “ Earthquake Engineering and structure Dynamics, vol. 18, no. 1, pp.11-32, 1989
Gutman, S., “Uncertain dynamical systems-A Lyapunov min-max approach,” IEEE Trans. Automat. Contr., vol.AC-24, no.3, pp.437-443, 1979
Hashimoto, H., Yamamoto, H. Yanagisava, S. and Harashima, F., “Brushless servomotor control using variable structure approach,” IEEE Trans.Industry Applications, vol.24, no.1, pp160-170,1988
Hsu, L., “Variable structure model-refrence adaptive control(VS-MRAC) using only input and output measurements: The general case,” IEEE Trans. Automat. Contr., vol.AC-35, no.11, pp.1238-1243, 1990
Hui, S. and Zak, S.H., “Rubost control synthesis for uncertain/nonlinear dynamical systems,” Automatica, vol.28 no.2, pp.289-298, 1992
Hui, S. and Zak, S.H., “Rubost output feedback stabilization of uncertain systems with bounded controllers,” Int. J. Robust Nonlinear Control, vol.3, pp. 115-132, 1993
Hung, J.Y., Gao, W.G., and Hung, J.C., “Variable structure control: A survey,” IEEE Trans. Ind.Electron., vol.40, no.1, pp2-22,1993
Hwang,G.C.,Lin,S.C., ”A stability Approach to Fuzzy Control Design for Nonlinear Systems", Fuzzy Sets and Fuzzy Systems, 48,pp279-287, 1992
Jang,J.S., ”Self-learning Fuzzy Controllers Based on TEmporal Back Propagation",IEEE Trans.Neural net., Vol. 3, No. 5 ,pp714-723, 1992
King,P.J., and E.H.Mamdani, “The Application of Fuzzy Control Systems to Industrial Processes, "Automatica, 13, pp235-242, 1977
Lai, M.L., Chang, K.C. Soong, T.T., Hao, D.S. and Yeh, Y. C., “Full-scale viscoelastically damped steel frame,” ASCE, J. of Structural Engineering, vol.121, no. 10, pp.1443-1447, 1995
Lee,C.C., ”Fuzzy Logic in Control Systems: Fuzzy Logic Controller -Part I",IEEE Trans. Sys. Man & Cyber., Vol. 20, No. 2,pp404-418, 1990a
Lee,C.C., “Fuzzy Logic in Control Systems: Fuzzy Logic Controller -Part II",IEEE Trans. Sys. Man & Cyber., Vol. 20, No. 2,pp419-435, 1990b
Lee,C.C., ”A Self-Learning Rule-Based Controller Employing Approximate Reasoning and Neural Net Concepts",Int. J. Intel. Sys., Vol.6, pp71-93, 1991
Lin, R.C., Liang, Z., Soong, T.T., Zhang, R.H., and Mahmoodi, P., “An experimental study on seismic behavoir of viscoelastically damped structures,” Engineering Structures, vol.13, pp. 75-84, 1991
Lin, S.C. and Chen, Y. Y., “Design of self-learning fuzzy sliding mode controllers based on genetic algorithms,” Fuzzy sets and systems, 86, 1997
Lo J.C. and Kuo Y.H., “Decoupled fuzzy sliding mode control,” IEEE Trans. Fuzzy sys., 6(3), 426-435 ,1998
Lu, L.T., Chiang, W.L., and Tang, J.P., “LQG/LTR control methodology in active structural control,” ASCE, J. of Eng. Mech., vol.124, no.4, pp.446-453, 1998
Lu, Y.S., “Design of a pertubation estimator using the theory of variable structure and its application to magnetic levitation stsyems,” IEEE Trans.Ind.Electron., vol.42, no.4, pp281-289, 1995
Martin,C.R.,Soong,T.T., “Modal Control of Multistory Structures,” ASCE, J. Eng. Mech. Div., Vol.102,EM4, pp613-623, 1976
Masri, S. F., BeKey, G. A., Caughey, T. K., “Optimum Pulse Control of Flexible Structures,” J. App. Mech., Vol.48, pp619-626, 1981
Masri,S.F., BeKey,G.A.,Caughey,T.K., ”On-Line Control of Nonlinear Flexible Structures,” J. App. Mech., Vol.49, pp877-884, 1982
Meirovitch, L., Silverberg, L. M., “Control of Structures Subjected to Seismic Excitation,” ASCE, J. Eng. Mech., Vol.109,No.2, pp604-618, 1983
Mokha, A., Constantinou, M., and Reinhorn, A., “Teflon bearings in base isolation I : testing,” J. of structural engineering, ASCE, vol.116, no.2, pp438-454, 1990
Mokha, A., Constantinou, M., and Reinhorn, A., “Teflon bearings in base isolation II : modeling,” J. of structural engineering, ASCE, vol.116, no.2, pp455-474, 1990
Narendra, K.S. and Annaswamy, A.M., Stable Adaptive Systems, Prentice-hall, Englewood Cliffs, NJ, 1988
z, H., “Variable structure control of flexible spacecraft,” Variable structure control for robotics and aerospace applications, Elsevier Science, pp295-316, 1993
Pedrycz,W., Fuzzy Control and Fuzzy Systems, John Wiley &Sons. Inc., New York, 1989
Peterson, B.B. and Narendra, K.S., “bounded error adaptive control,” IEEE Trans. Automat. Contr., 27, pp1161-1168,1982
Pu,J.P., Hsu D.S.,”Optimal Control of Tall Buildings", ASCE, J. Eng. Mech., Vol.114,No.6, pp973-989, 1988
Procyk, T. J. and Mamdani, E.H. “A Linguistic Self-Oranizing Process Controller," Automatica, vol.15, pp15-30, 1979
Pu, J. P. and Kelly, J. M., “Active control and seismic isolation,” ASCE, J. of Eng, Mech., vol. 117, no. 10, pp. 2221-2235, 1991
Reinhorn,A.M., Soong,T.T., Riley,M.A., Lin,R.C., Aizawa,S., Higashino,M. “Full-scale Implementation of Active Control II:Installation And Performance" ASCE, J. Str. Eng., Vol.119,No.6, pp1936-1960, 1991
Rohrs, C.E., Valavani, M.A. and Stein, G., “Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics,” IEEE Trans. Automat. Contr., 30, pp881-889,1985
Sabanovic, A. and Izosimov, D., “Application of sliding modes to induction motor control,” IEEE Trans.Industry Applications, vol.IA-17, no.1, pp41-49,1981
Sastry, S.S. and Bodson, M., Adaptive Control: Stability, Convergence, and Robustness, Prentice-hall, Englewood Cliffs, NJ, 1989
Shelley, S.J., Lee, K.L., Aksel, T. and Aktan, A.E., “ Active-control and force-vibration on highway bridge,” ASCE, J. of Structural Engineering, vol.121, no.9, pp.1306-1312, 1995
Shen, K.L. and Soong,T.T., “Modeling of viscoelastic dampers for structural applications,” ASCE, J. of Engineering Mechanics, vol. 121, no. 6, pp. 694-701, 1995
Singh, S.K., “Asymptotically decoupled discontinuous control systems and nonlinear aircraft maneuver,” IEEE Trans. Aerosp..Electron. Syst., vol.25, no.3, pp380-391, 1989
Skinner, R. I., Robinson, W.H., and Mcverry, G.H., An indtoduction to seismic isolation, John Wiley & Son, 1993
Slotine, J.J.E. and Sastry, S., “tracking control of nonlinear systems using sliding surfaces with application to robot manipulators,” Int. J. Contr., vol.38, no.2, pp465-492, 1983
Slotine, J.J.E. and Li, W., Applied Nonlinear Control, Prentice Hall, Englewood Cliffs NJ, 1991
Soong,T.T., Reinhorn,A.M., Wang,Y.P., Lin,R.C.,”Full-scale Implementation of Active Control I:Design And Simulation" ASCE, J. Str. Eng., Vol.117,No.11, pp3516-3536, 1991
Soong,T.T. Actice Structural Control: Theory and Practice, John Wiley &Sons. Inc., New York, 1990
Su, W.C., Drakunov, S.V. and zg ner, , “Constructing discountinuity surfaces for variable structure system: a Lyapunov approach,” Automatica, vol.32, pp.925-928, 1996
Sugeno,M., and Nishida,M.,”Fuzzy model of Model car", Fuzzy Sets and Fuzzy Systems, 16,pp105-113, 1985
Sugeno,M., and Kang,G.T.,”Structure identification of fuzzy model", Fuzzy Sets and Fuzzy Systems, 28,pp15-33, 1988
Tachibana,E.,Inoue Y., ”Fuzzy Theory for the Active Control of the Dynamic Response in Buildings,” Micro. in Civil Eng., 7, pp179-189, 1992
Takagi, T., Sugeno,M.,”Fuzzy identification of System and its Applications to Modeling and Control ",IEEE Trans. Sys. Man & Cyber.Vol. SMC-15, No. 1,pp116-132, 1988
Ting, C.S. Li, T.H. S. and Kung, F.C., “ an approach to systematic design of the fuzzy control system,” Fuzzy sets and systems, 77, pp151-166, 1996
Tsai, C.S. and Lee, H.H., “Applications of viscoelastic dampers to high-rise buildings,” ASCE, J. of Structural Engineering, vol. 119, no. 4, pp.1222-1233, 1993
Utkin, V.I., “Variable structure systems with sliding modes,” IEEE Trans. Automat. Contr., vol.AC-22, no.2, pp212-222,1977
Utkin, V.I. and Yang, K.D., “Methods for constructing discontinuity planes in multivariable systems,” Autom. Remote Control, vol.39, pp. 1466-1470, 1978
Utkin, V. I., Sliding modes in control optimization, Springer-Verlag, NY, 1992
Utkin, V.I., “ Sliding mode control design principles and applications to electic drives,” IEEE Trans.Ind.Electron., vol.40, no.1, pp23-36, 1993
Vipperman,J.S., Burdisso,R.A., Fuller,C.R., “Active Control of Broadband Structural Vibration Using the LMS Adaptive Algorithm,” J. App. Mech., 166(2),pp283-299, 1993
Walcott, B. L. and Zak, S.H., “State observation of nonlinear uncertain dynamical systems,” IEEE Trans. Automat. Contr., vol.AC-32, no.6, pp445-456, 1987
Wang,L.X., Mendel,M., “Generating Fuzzy Rules by Learning from Examples",IEEE Trans. Sys. Man & Cyber., Vol. 22, No. 6,pp1414-1427, 1992
Wang, L.X., Adaptive fuzzy systems and control design and stability analysis, Prentice Hall, Englewood Cliffs, 1994
Wang, L.X., “Combining mathematical model and heuristics into controllers: An adaptive fuzzy control approach,” Fuzzy sets and systems, 89, pp.151-156, 1997
Wen, Y.K., “Methods of random vibration for inelastic structures,” J. Appl. Mech. Rev., vol.42, no.2, pp39-52, 1989
Ｗilkinson, J. H., The algebraic eigenvalue problem, Oxford University Press, 1965
Xu, J.X. and Hashimoto, H., “Parameter identification methodologies based on variable structure control,” Int. J. Contr., vol.57, no.5, pp1207-1220, 1993
Yager,R.R., “Implementing fuzzy logic controllers using a neural network framework", Fuzzy Sets and Fuzzy Systems, 48,pp53-64, 1992
Yager,R.R., and Filev, D.P., Essentials of fuzzy modeling and control, Wiley, NY, 1994
Yao,T.P., "Concept of Structural Control", ASCE, J.Structural Division, vol 98, No.ST7, pp1567-1574, 1972
Yang,J.N., "Application of Optimal Control Theory to Civil Engineering Structures,” ASCE, J. Eng.Mech. Div., Vol.101, No.EM6, pp819-838, 1975
Yang,J.N., “Active Tendon Control of Structures,” ASCE, J. Eng. Mech. Div., Vol.104,EM3, pp551-568, 1978
Yang,J.N., ”Control of Tall Buildings Under Earthquake Excitation,” ASCE, J. Eng. Mech. Div., Vol.108,EM5, pp833-849, 1982
Yang,J.N., Akbarpour, A., and Ghaemmaghaami, P., “New optimal control algorithms for structure control” ASCE, J. Eng. Mech., Vol.113,No.9, p1369-1386, 1987a
Yang,J.N., Li,Z., Liu,S.C., ”Stable Controllers for Instantaneous Optimal Control ,” ASCE, J. Eng. Mech., Vol.118,No.8, p1612-1630, 1987b
Yang,J.N., Long,F. X. and Wang. D., ”Optimal Control of Nonlinear Structures",J. App. Mech., Vol.55, p931-945, 1988
.Yang,J.N., Akbarpour,A., Askar,G., “Effect of Time Delay on Control of Seismic-Excited Buildings" ASCE, J. Str. Eng., Vol.116,No.10, pp2801-2814, 1990
Yang,J.N.,Danielinus,A., and Lin, S.C., “Aseismic hybrid control systems for building structures'', ASCE, J. of Eng. Mech., Vol.117,No.4, pp836-853, 1991
Yang,J.N., Li,Z., Danielinus,A., and Lin, S.C., “Aseismic hybrid control of Nonlinear and Hysteretic Structures I,” ASCE, J. of Eng. Mech., Vol.118,No.7, pp1423-1440, 1992a
Yang,J.N., Li,Z., Danielinus,A., and Lin, S.C., “Aseismic hybrid control of Nonlinear and Hysteretic Structures II", ASCE, J. of Eng. Mech., Vol.118,No.7, pp1441-1456, 1992b
Yang,J.N., Li,Z., Liu,S.C., ”Control of Hysterestic System Using Velocity and Accleration Feedback", ASCE, J. Eng. Mech., Vol.118,No.11, p2227-2245, 1992c
Yang, J.N., Li, Z. and Vongchavalitkul, S., “A generalization of Optimal control theory: linear and nonlinear control,” J.Engrg. Mech., ASCE, 120(2), 226-283, 1994
Yang, J.N., Wu, J.C. Kawashima, K. and Unjoh, S., “Hybrid control of seismic-excited bridge structures,” Earthquake Engineering and Structural Dymanics, vol.24, pp.1437-1451, 1995a
Yang, J.N., Wu, J.C. and Agrawal, A.K., “Sliding mode control for seismically excited linear structures,” ASCE, J. of Eng. Mech., vol.121, no.12, pp.1386-1390, 1995b
Yang, J.N., Wu, J.C. and Agrawal, A.K., “Sliding mode control for nonlinear and hysteretic r structures,” ASCE, J. of Eng. Mech., vol.121, no.12, pp.1330-1339, 1995c
Yang, J.N., Wu, J.C. and Reinhorn, A.M. and Riley, M., “Control of sliding-isolated building using sliding mode control,” ASCE, J. of Structural Engineering., vol.122, no.2, pp.170-186, 1996
Young, K.-K.D., “Controller design for a manipulator using theory of variable structure systems,” IEEE Trans. Syst. Man. Cybern., Vol.SMC-8, no.2, pp101-109, 1978
Yeh, K., Chiang, W.L., and Juang, D. S., “ Application of fuzzy control theory in active control of structures,” Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 4(3), 255-274 ,1996
Zadeh, L.A., ”Fuzzy Sets," Information and Control, vol.8, pp338 —353, 1965
Zhang,H.,MA,X.,Xu,W., ”Design Fuzzy Controllers for Complex systems with an Application to 3-Stage Inverted Pendulums", Infor. Sci.,72, pp271-284, 1993
Zhang, R.H. and Soong, T.T., “Seismic design of viscoelastic dampers for structural application,” ASCE, J. of Structural engineering, vol.118, no.5 pp.1375-1392, 1991
Zinober, A.S.I., Spurgeon, S.K. Yew, M.K. and Patton, R.J. ”Model-following control of time-varying and nonlinear avionics systems,” Deterministic control of uncertain systems, IEE control engineering series 40, 1990
王安培，陳遠亮，洪銘遠，郝宗瑩，”模糊滑動控制樓房結構控制系統之應用“ 第三屆結構工程研討會論文集，pp.1369-1378, 民國八十五年
王安培，陳遠亮，陳嘉彬，”模糊神經網路在樓房結構控制之應用” ，第四屆結構工程研討會論文集，pp.873-880, 民國八十七年
自動控制工程手冊編輯小組，”自動控制”，中國電機工程學會，臺北，民國86
李維森，”線性阻尼器於橋梁耐震工程之應用研究”，中央大學土木工程研究所，博士論文，民國八十六年六月
林俊良，”控制系統數學”，全華，台北，1999
唐治平，邱奕瑾，”隔震橋樑之位移控制,” 中國土木水利工程學刊，第四卷，第二期，pp.147-154, 民國八十一年
唐治平，董必正，林和容，”隔震橋樑磁力控制實驗,” 第二屆結構工程研討會論文集，pp.209-218, 民國八十三年
徐德修，葉明展，尹文光，”高壓伺服機構在土木結構控制上之應用”，國科會專題研究計畫報告，民國八十年八月
徐德修，王洪明，“高壓伺服機構之短柱效應控制 “，第四屆結構工程研討會論文集，pp. 833- 840 , 民國八十七年
莊德興，蘇源峰，沈恆德，”ADAS-LRB隔震結構的震譜分析,”第二屆結構工程研討會論文集，pp.486-495, 民國八十三年
莊德興，徐晃耀，”三角形加勁阻尼元件--─積層橡皮墊隔震結構的非線性動態反應分析”， 第四屆結構工程研討會論文集，pp.1245-1252，民國八十七年
陳永平，”可變結構控制設計”，全華，台北，1999
張荻薇，”隔震技術在橋樑工程之應用,”結構工程，第四卷，第四期，pp.69-80,民國七十八年
黃震興，“隔震技術應用的現階段概觀與展望，”土木工程技術，第一期， pp.45-61, 民國八十四年
楊世銘，”建築物隔振控制技術實例評估之比較探討,”內政部建築研究所，民國八十六年