研究了一类多时滞混沌系统的主从容错同步问题.所设计的同步方法无论混沌系统中是否有故障发生,都可以使混沌主从同步误差系统全局渐近稳定并且满足给定的性能指标.容错同步方法的控制器包含两个部分:状态反馈控制器和故障补偿器.控制器的存在条件是时滞依赖的并可以通过线性矩阵不等式的方法进行求解.最后通过仿真验证了设计方法的有效性.
The problem of master-slave fault tolerant synchronization for a class of chaotic systems with muhiple time-delays is considered. A fault tolerant synchronization is designed for a fault occuring in chaotic systems. Whether the fault happens in the chaotic systems or not, the synchronization method not only guarantees that the error system is globally asymptotically stable, but also satisfies a prescribed performance level. The fault tolerant controller contains two parts : the state feedback controller and fault compensator. A delay-dependent condition based on linear matrix inequality (LMI) is proposed for fault tolerant controller. The effectiveness of proposed design method is demonstrated by a simulation example.