@article{(Open Science Index):https://publications.waset.org/pdf/3847, title = {Design of Nonlinear Observer by Using Chebyshev Interpolation based on Formal Linearization}, author = {Kazuo Komatsu and Hitoshi Takata}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Computer and Information Engineering}, volume = {4}, number = {10}, year = {2010}, pages = {1577 - 1582}, ee = {https://publications.waset.org/pdf/3847}, url = {https://publications.waset.org/vol/46}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 46, 2010}, }