Title: Observer-based state estimation for non-linear fractional systems

Authors: Fengying Li; Ranchao Wu; Song Liang

Addresses: School of Mathematics, Anhui University, Hefei 230601, China ' School of Mathematics, Anhui University, Hefei 230601, China ' School of Mathematics, Anhui University, Hefei 230601, China

Abstract: In this paper, a scheme based on the state observer to estimate fractional systems has been designed by means of synchronising the state observer with the original systems. Fractional-order direct Lyapunov method is used to derived the asymptotical stability of the state error system. The gains of the observer are obtained in terms of linear matrix inequalities. Finally, the simulation results demonstrate validity and effectiveness of the proposed state observer.

Keywords: Caputo derivative; Lyapunov direct method; asymptotical stability; observer-based state estimation; nonlinear fractional systems; linear matrix inequalities; LMIs; simulation.

DOI: 10.1504/IJDSDE.2015.072841

International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.4, pp.322 - 335

Available online: 04 Nov 2015 *

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