A Formal Linearization for a General Class of Time-Varying Nonlinear Systems and Its Applications(<Special Section>Nonlinear Theory and its Applications)
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概要
- 論文の詳細を見る
In this paper we consider an approximation method of a formal linearization which transform time-varying nonlinear systems into time-varying linear ones and its applications. This linearization is a kind of a coordinate transformation by introducing a linearizing function which consists of the Chebyshev polynomials. The nonlinear time-varying systems are approximately transformed into linear time-varying systems with respect to this linearizing functions using Chebyshev expansion to the state variable and Laguerre expansion to the time variable. As applications, nonlinear observer and filter are synthesized for time-varying nonlinear systems. Numerical experiments are included to demonstrate the validity of the linearization. The results show that the accuracy of the approximation by the linearization improves as the order of the Chebyshev and Laguerre polynomials increases.
- 社団法人電子情報通信学会の論文
- 2004-09-01
著者
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Takata Hitoshi
Kagoshima Univ. Kagoshima Jpn
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Takata H
Kagoshima University
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Komatsu Kazuo
Kumamoto National College Of Technology
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Komatsu K
Kumamoto National College Of Technology
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