제어로봇시스템학회:학술대회논문집
- 2002.10a
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- Pages.52.2-52
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- 2002
An Approach to a Formal Linearization toy Time-variant Nonlinear Systems using Polynomial Approximations
- Komatsu, Kazuo (Kumamoto Univ., JAPAN) ;
- Takata, Hitoshi (Kagoshima Univ., JAPAN)
- Published : 2002.10.01
Abstract
In this paper we consider an approach to a formal linearization for time-variant nonlinear systems. A time-variant nonlinear sysetm is assumed to be described by a time-variant nonlinear differential equation. For this system, we introduce a coordinate transformation function which is composed of the Chebyshev polynomials. Using Chebyshev expansion to the state variable and Laguerre expansion to the time variable, the time-variant nonlinear sysetm is transformed into the time-variant linear one with respect to the above transformation function. As an application, we synthesize a time-variant nonlinear observer. Numerical experiments are included to demonstrate the validity of...
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