Aliakbar Mohammadi - Master Student of Control Engineering, Islamic Azad University of Kazeron, Ferdowsi University of Mashad
Naser Pariz - Associate Professor of Control Engineering, Ferdowsi University of Mashad
Hsan Shanechi - Associate Professor of Control Engineering, Ferdowsi University of Mashad

Modal series is a new approach for modeling and analysis of nonlinear systems. This paper provides application of modal series to state estimation of nonlinear systems and introduces a new state estimation approach for nonlinear systems which used a modal series model of nonlinear systems for Kalman filtering. The method implies a sequential use of Kalman filters which each one tries to decrease estimation errors of states. To validate the proposed approach, results of simulation of LQG control of a cart and pole using proposed approach has been compared with classical LQG control.

Nonlinear Systems, Modal Series, State Estimation, Kalman Filter