一类不确定网络控制系统的鲁棒容错控制

Robust Fault-tolerant Control for a Class of Uncertain Networked Control Systems

  • 摘要: 研究了含有数据包丢失的不确定网络控制系统的鲁棒容错控制问题.在执行器连续增益故障下,考虑前向网络通道和后向网络通道中存在满足马尔可夫性质的数据包丢失情况,将含有结构不确定性的闭环故障网络控制系统建模为马尔可夫跳变线性系统.基于这个模型,利用Lyapunov稳定性理论和矩阵不等式技术,给出了闭环故障网络控制系统随机稳定的充分条件,同时采用锥补线性化方法,给出了控制器设计方法.最后数例仿真验证了该设计方法的有效性.

     

    Abstract: The problem of robust fault-tolerant control for uncertain networked control system(NCS) with data packet dropout is studied.Based on the actuator continuous gain faults,considering that Markovian packet dropouts exist in forward network channel and backward network channel,and the closed-loop faulty NCS with structured uncertainty is modeled as Markovian jump linear system.Based on this model,the necessary condition of the stochastically stable for the closed-loop faulty NCS is given by using Lyapunov stability theory and matrix inequality technique.At the same time,the controller design method is proposed via the cone complementary linearization method.Finally,the numerical example and simulations demonstrate the validity of the proposed method.

     

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