TY - JFULL AU - Kazuo Komatsu and Hitoshi Takata PY - 2010/11/ TI - Design of Nonlinear Observer by Using Chebyshev Interpolation based on Formal Linearization T2 - International Journal of Computer and Information Engineering SP - 1576 EP - 1582 VL - 4 SN - 1307-6892 UR - https://publications.waset.org/pdf/3847 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 46, 2010 N2 - 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. ER -