%0 Journal Article %A Kazuo Komatsu and Hitoshi Takata %D 2010 %J International Journal of Computer and Information Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 46, 2010 %T Design of Nonlinear Observer by Using Chebyshev Interpolation based on Formal Linearization %U https://publications.waset.org/pdf/3847 %V 46 %X This paper discusses a design of nonlinear observer by a formal linearization method using an application of Chebyshev Interpolation in order to facilitate processes for synthesizing a nonlinear observer and to improve the precision of linearization. A dynamic nonlinear system is linearized with respect to a linearization function, and a measurement equation is transformed into an augmented linear one by the formal linearization method which is based on Chebyshev interpolation. To the linearized system, a linear estimation theory is applied and a nonlinear observer is derived. To show effectiveness of the observer design, numerical experiments are illustrated and they indicate that the design shows remarkable performances for nonlinear systems. %P 1577 - 1582