时滞混沌系统的有限时间容错同步控制

Finite-Time Fault-Tolerant Synchronization Control of Chaotic Systems with Time-varying Delay

目的针对2个具有时变时滞且结构不同的混沌系统,考虑系统出现的卡死故障和执行器失效的情况,对驱动-响应混沌系统的有限时间同步控制问题进行研究。方法设计自适应容错控制器实现对同步误差系统的实时控制,结合有限时间稳定性理论得到有限时间同步的充分条件。结果利用具体的数值仿真试验,验证了设计的容错控制器的有效性,保证了误差系统在有限时间内达到收敛。结论通过选取适当的李雅普诺夫函数,得到了同步误差系统收敛的过渡时间。

Objective For two chaotic systems with time-varying delay and different structures,the finite-time synchronization control problem of drive-response chaotic systems is studied,considering the stuck fault and actuator failure.Methods The adaptive fault-tolerant controller is designed to realize the real-time control of the synchronization error system.The sufficient conditions of finite-time synchronization are obtained by combining the finite-time stability theory.Results The effectiveness of the designed fault-tolerant controller is verified by the specific numerical simulation test,which ensures that the error system can reach convergence in finite time.Conclusion By selecting the appropriate Lyapunov function,the transition time of the synchronization error system convergence is obtained.