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

Authors:
Elham Amini Boroujeni;Hamid Reza Momeni
Affiliations:
Automation and Instruments Laboratory, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran;Automation and Instruments Laboratory, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran
Venue:
Signal Processing
Year:
2012

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Abstract

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.