Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems

作     者：Ibrahima N’Doye Khaled Nabil Salama Taous-Meriem Laleg-Kirati 

作者机构：IEEE ComputerElectrical and Mathematical Sciences and Engineering Division (CEMSE)King Abdullah University of Science and Technology (KAUST) 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2019年第6卷第1期

页      面：268-277页

核心收录：

学科分类：0711[理学-系统科学] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by King Abdullah University of Science and Technology (KAUST) KSA 

主　　题：Chaos synchronization fractional-order chaotic systems indirect Lyapunov approach linear matrix inequality(LMI) robust proportional-integral observer design 

摘      要：In this paper, we propose a robust fractional-order proportional-integral(FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities(LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional(FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.