FULL-ORDER AND REDUCED-ORDER OBSERVER DESIGN FOR A CLASS OF FRACTIONAL-ORDER NONLINEAR SYSTEMS

The paper is concerned with problem of the full-order and reduced-order observer design for a class of fractional-order one-sided Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. Furthermore, the proposed design method was extended to reduced-order observer design for fractional-order nonlinear systems. All the stability conditions are obtained in terms of LMI, which are less conservative than some existing ones. Finally, a numerical example demonstrates the validity of this approach.