时变采样周期网络控制系统的鲁棒容错控制器设计

Robust fault-tolerant controller design of networked control systems under variable-period sampling

研究具有时变采样周期网络控制系统的执行器失效的完整性问题.假设系统任意两个连续采样间隔具有上界,利用输入时延法,将时变采样周期网络控制系统等价转化为连续时变时延网络控制系统.在此基础上,基于时延条件,应用Lyapunov稳定性理论和线性矩阵不等式(LMIs)方法证明了鲁棒容错控制律的存在条件,设计了鲁棒容错控制器,并给出了系统完整性条件下的最大允许时延的估计方法.仿真结果验证了所提方法的可行性和有效性.

The problem of integrity against actuator failures for networked control systems under variable-period sampling is studied. Assuming that the distance between any two consecutive sampling instants is less than a given bound, by using the input delay approach, the networked control systems with variable-period sampling is transformed into a continuous-time networked control systems with time-varying delays. Then, based on the time delay condition, the existence condition o{ robust fault-tolerant control law is testified in terms of the Lyapunov stability theory combined with linear matrix inequalities （LMIs）. Furthermore, the robust fault-tolerant controller is designed and the estimate method of maximum value of time-varying delays is given under the condition for the system with integrity. The result of a numerical simulation example show the effectiveness and feasibility of the conclusions.