时滞混沌系统的混沌同步容错控制设计方法

Chaos Synchronization Fault Tolerant Control Design Method for Chaotic Systems with Time-delays

应用有记忆状态反馈控制器,研究了多时滞混沌系统的H∞混沌同步控制问题;对于结构更复杂的系统,又给出了一种非线性控制器的设计方法。推导了五个定理,设计了干扰抑制混沌同步状态反馈控制器和结构改进的非线性控制器,前者可以保证多时滞主从系统的混沌同步,而且可以使系统抑制外部噪声的干扰,满足提出的H∞性能指标;后者可以使改变结构的多时滞主从系统的混沌同步,按指数稳定。给出的一个仿真算例验证了提出算法的有效性。

The problem of chaos synchronization of chaotic systems with multiple time-delays was studied by employing the state-feedback controller with memory,and a design approach of nonlinear controller was given for more complicated systems in structure.Five theorems were given.The disturbance attenuation state-feedback controller of chaos synchronization and nonlinear controller with structure improved were designed.The former can not only guarantee the chaos synchronization of master and slave systems with multiple time-delays,but also attenuate the disturbance of external noises,which makes the system enjoy the proposed performance indexes.The latter can guarantee the chaos synchronization of master and slave systems of changed structure,and the systems are exponentially stable.A simulation example validates the effectiveness of the proposed algorithms.