A Numerical Algorithm for Feedback Linearization of Single Input Nonlinear Systems Using the C.I.R Method and Tensor Product Splines
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概要
- 論文の詳細を見る
It is very difficult to obtain a linearizing feedback and a coordinate transformation map, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form. In this paper we develop a numerical algorithm for an integrating factor involving a set of partial differential equations and corresponding zero-form using the C.I.R method. We employ a tensor product splines as an interpolation method to data which are resulted from the numerical algorithm in order to obtain an approximate integrating factor and a zero-form in closed forms. Next, we obtain a coordinate transformation map using the approximate integrating factor and zero-form. Finally, we construct a stabilizing controller based on a linearized system with the approximate coordinate transformation.
- 社団法人電子情報通信学会の論文
- 2001-07-01
著者
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Kim Sang
Faculty Of Electrical And Computer Engineering Division Postech
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Kim Sang
Faculty Of Applied Biology And Horticulture Sunchon National University
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Jang Yujin
Graduate School Of Electrical And Computer Engineering Division Pohang University Of Science And Tec
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- A Numerical Algorithm for Feedback Linearization of Single Input Nonlinear Systems Using the C.I.R Method and Tensor Product Splines