控制器部分失效下混沌系统广义投影同步  

Generalized Projective Synchronization of Chaotic Systems Subject to Controller Partial Failures

作　　者：聂宏[1] 桑红[2] 祝丹梅[1] NIE Honga;SANG Hongb;ZHU Dan-meia(a.School of Science;b.School of Information and Control Engineering,Liaoning Shihua University,Fushun 113001,China)

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001 [2]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001

出　　处：《控制工程》2018年第9期1604-1609,共6页Control Engineering of China

基　　金：国家自然科学基金(11404154);辽宁省教育厅科学研究基金(L2014151,L2015309)

摘　　要：针对控制器存在部分失效的情形,研究混沌系统的广义投影同步切换控制问题。基于切换的思想,将伴有控制器部分失效的广义投影同步误差系统转化为一类广义投影同步切换误差系统。然后,基于多Lyapunov函数和平均驻留时间方法,给出确保广义投影同步切换误差系统指数稳定的充分条件,同时以线性矩阵不等式的形式给出切换控制器的设计方案。最后,通过仿真算例说明所得结论的有效性。The problem of switching control is investigated for generalized projective synchronization of chaotic systems in the situation of controller partial failures. Based on the idea of switching, the generalized projective synchronization error systems with controller failures are converted to a class of projective synchronization switched error systems. A sufficient condition for the switched error systems to be exponentially stable is presented by using piecewise Lyapunov functional and average dwell-time method, and a switching controller is developed by solving a set of linear matrix inequalities in the meantime. Finally, a simulation example is provided to illustrate the effectiveness of the proposed method.

关 键 词：混沌系统 控制器部分失效 广义投影同步 多LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]