具有数据包丢失的网络控制系统的保成本容错控制

Guaranteed Cost Fault-tolerant Control for Networked Control Systems with Data Packet Dropout

研究了具有数据包丢失的网络控制系统的保成本容错控制问题.针对一类存在马尔可夫丢包的网络控制系统,考虑更一般的执行器连续增益故障模型,利用李亚普诺夫稳定理论和马尔可夫跳变线性系统理论,构造丢包依赖的李亚普诺夫函数.给出了保持系统均方稳定且满足保成本性能指标的控制器存在的充分条件,并提出了相应的保成本容错控制器设计方法.同时,通过求解优化问题,构造出系统的最优保成本容错控制器.最后给出的数例仿真验证了该控制器设计方法的有效性.

This paper discusses the problem of guaranteed cost fault-tolerant control for networked control systems with data packet dropout. Based on a more general model of actuator continuous gain faults, considering a class of networked control systems with Markovian packet dropout, the packet dropout dependent Lyapunov function is constructed with Lyapunov stability theory and Markovian jump linear system theory. The sufficient conditions for the existence of the controller is given, which guarantees the mean-square stability of NCS and meets the guaranteed cost performance,＇and the corresponding guaranteed cost fault-tolerant controller design techniques are also provided. Simultaneously, the optimal guaranteed cost fault-tolerant controller is constructed by solving the optimization problem. Finally, the numerical example and simulations are provided to prove the validity of the proposed method.