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

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• 作者：Elham Amini Boroujeni ^{e.amini@modares.ac.ir} ; Hamid Reza Momeni ; ^{momeni_h@modares.ac.ir}
• 关键词：Continues frequency distribution ; Linear matrix inequality ; Lyapunov stability ; Non-fragile observer ; Nonlinear fractional differential equation ; Nonlinear fractional order system
• 刊名：Signal Processing
• 出版年：2012
• 期刊代码：162_01651684
• 类别：et
• 出版时间：October, 2012
• 卷：92
• 期：10
• 页码：2365-2370
• 文件大小：479 K

摘要

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.