Non-fragile nonlinear fractional order observer design for a class of nonlinear fractional order systems

This paper deals with the problem of non-fragile observer design for a class of Lipschitz nonlinear fractional order systems. Using continuous frequency distribution, the stability conditions based on indirect approach to Lyapunov stability are derived. A systematic algorithm is presented, which checks for feasibility of a solution to the quadratic inequality and yields an observer whenever the solution is feasible. Finally a chaos synchronization example is provided to show the effectiveness of the proposed method.

► We points out to state estimation problem for the Lipschitz nonlinear fractional order systems.
► A nonlinear non-fragile observer is designed.
► Stability conditions of the proposed observer based on indirect approach to Lyapunov stability is derived.
► An effective matrix inequality methodology is developed to solve the proposed problem.
► Finally numerical simulation result is presented.