时滞混沌系统的鲁棒自适应容错同步控制  

Robust Adaptive Fault-Tolerant Synchronization Control for Time-Delay Chaotic Systems

作　　者：高俊山 张玉双 邓立为 GAO Jun-shan;ZHANG Yu-shuang;DENG Li-wei(School of Automation,Harbin University of Science and Technology,Harbin Heilongjiang 150080,China)

机构地区：[1]哈尔滨科技大学自动化学院,黑龙江哈尔滨150080

出　　处：《计算机仿真》2020年第6期247-251,261,共6页Computer Simulation

基　　金：黑龙江省自然科学基金(F201307);哈尔滨市科技创新人才青年后备项目(2017RAQXJ006)。

摘　　要：针对一类带有执行器故障、非线性时滞及外部干扰的主从混沌系统之间的同步控制问题进行研究。基于Lyapunov稳定性理论和自适应控制理论,设计一个鲁棒自适应容错控制器,使同步误差系统渐进稳定,实现主从混沌系统的同步容错控制。在故障信息和干扰上界未知的情况下,通过自适应律对未知参数进行在线估计,使得无论执行器是否发生故障,在控制器的作用下,主从混沌系统之间的同步误差都能收敛并趋近于零。最后,以蔡氏混沌系统为例进行数值仿真,仿真结果验证了所设计控制器的有效性和可行性。The synchronization problem was investigated for a class of master-slave chaotic systems with actuator failures, nonlinear time delays and external disturbances. Based on Lyapunov stability theory and adaptive control technique, a robust adaptive fault-tolerant control scheme was designed to asymptotically stabilize the synchronization error system and achieve the synchronization of master-slave chaotic systems. Although the information of faults and the upper of external disturbance were unknown, the adaptive laws were proposed to estimate the unknown parameters online. The proposed scheme was constructed to realize the synchronous error converges and approaching zero between master and slave system whether the faults occur or not. Finally, numerical simulations about Chua’s chaotic system were carried out and the simulation results prove the effectiveness and applicable of the proposed scheme.

关 键 词：混沌同步 自适应控制 容错控制 执行器故障 非线性时滞 

分 类 号：O415.5[理学—理论物理] O231.2[理学—物理]