An Observer for a Class of Incommensurate Fractional-Order Systems [chapter]

Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés
2015 Understanding Complex Systems  
In this paper we present a new observer model free type for synchronization of a certain class of incommensurate fractional order systems. We apply our proposals in the master-slave synchronization scheme, where the unknown dynamics are considered as the master system and we propose an observer structure like slave system which estimates the unknown state variables. For solving this problem, we introduce a new incommensurate fractional algebraic observability (IFAO) property which is used as
more » ... which is used as the main ingredient in the design of the slave system. Some numerical results show the effectiveness of the suggested approach.
doi:10.1007/978-3-319-15284-4_14 fatcat:ha6xppk5jjganohuxwcr5ay6v4