期刊論文

學年 87
學期 1
出版(發表)日期 1998-09-15
作品名稱 Non-linear control strategies for Duffing systems
作品名稱(其他語言)
著者 Agrawal, A. K.; Yang, J. N.; 吳重成; Wu, Jong-cheng
單位 淡江大學土木工程學系
出版者 Elsevier
著錄名稱、卷期、頁數 International Journal of Non-Linear Mechanics 33(5), pp.829-841
摘要 The Duffing oscillator is a useful model for the non-linear behavior of structural systems. This paper studies the applications of two control strategies to Duffing oscillators; namely, an optimal polynomial control and robust sliding mode control. An advantage of the polynomial controller investigated is that, for a given appropriate weighting matrices, the gain matrices for different orders of the controller can be computed easily by solving Riccati and Lyapunov equations. It is demonstrated through numerical simulation results that the stability region of the softening Duffing system can be expanded rapidly by the optimal polynomial controller and the entire state space of the closed-loop system becomes asymptotically stable when the gain matrix reaches a certain level. On the other hand, the closed-loop softening system is always asymptotically stable in the entire state space for the robust sliding-mode controller. The performances of both controllers, in terms of the system response reduction and the required control effort, have been studied through numerical simulations. Simulation results indicate that the performance of the optimal polynomial controller presented in this paper in reducing the response of the Duffing systems is comparable to a polynomial controller proposed recently in the literature. In comparison with polynomial controllers, the performance of robust sliding-mode control is quite remarkable.
關鍵字
語言 en
ISSN 0020-7462
期刊性質 國外
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通訊作者
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國別 GBR
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出版型式 ,紙本
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