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.
International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.4, pp.322 - 335
Available online: 04 Nov 2015 *Full-text access for editors Access for subscribers Purchase this article Comment on this article