基于Mamdani模糊逻辑系统的一类未知混沌系统的同步控制  

Synchronization control for a class of completely unknown chaotic systems based on Mamdani fuzzy logic systems

作　　者：高子林[1] 刘志强 王银河[2] 熊江[1] GAO Zilin;LIU Zhiqiang;WANG Yinhe;XIONG Jiang(Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Chongqing 404100, China;School of Automation, Guangdong University of Technology, Guangzhou 510006, China)

机构地区：[1]重庆三峡学院智能信息处理与控制重点实验室,重庆404100 [2]广东工业大学自动化学院,广东广州510006

出　　处：《合肥工业大学学报（自然科学版）》2021年第2期188-192,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(61673120);重庆市教委科学技术研究资助项目(KJQN201801215;KJ1710244);重庆市高校市级重点实验室资助项目([2017]3);重庆三峡学院科学研究计划资助项目(19QN07)

摘　　要：针对一类既含有未知参数又含有不确定非线性项和外界干扰的混沌系统,基于Mamdani模糊逻辑系统的万能逼近性和参数自适应方法,文章提出了一种带有参数自适应律的驱动-响应同步控制方法,并实现了未知混沌系统的渐近同步。其中,利用先验知识构成的模糊逻辑系统被用于逼近混沌系统中的非线性不确定项,而混沌系统中的未知参数则通过自适应方法进行在线估计。在同步控制器设计中,参数自适应律的个数与模糊规则的数目无关,表明该同步方法不仅减少了在线计算量,而且使基于先验知识产生的模糊规则所构成的模糊逻辑系统具有更广泛的应用。最后通过算例说明了该方法的有效性。For a class of chaotic systems with unknown nonlinearities,parameters and external disturbances,a drive-response synchronization controller with parameter adaptive laws is proposed based on Mamdani fuzzy logic systems and the adaptive method,then the asymptotical synchronization of the unknown chaotic systems is achieved via state feedback controllers and updated adaptive laws.The fuzzy logic systems are used to approximate the unknown nonlinearities based on same experiences and the unknown parameters are estimated by the adaptive method.It is noticed that the number of parameter adaptive laws is independent on the number of fuzzy rules in the design of the synchronization controller,which means that the synchronization method not only reduces the amount of online computing,but also enables the fuzzy logic systems with fuzzy rules produced by experiences in a wider range of applications.Finally,a numerical example is given to illustrate the effectiveness of this method.

关 键 词：未知混沌系统 Mamdani模糊逻辑系统 自适应方法 同步控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]