具有区间快变时延的NCS H_∞鲁棒容错控制

Robust H_∞ Fault-tolerant Control for NCS with Fast Interval Time-varying Delay

针对存在时延和丢包的网络化控制系统,同时考虑参数不确定性和有限能量外部扰动的影响,研究了执行器或传感器失效时系统的H∞鲁棒容错控制问题。将丢包当作一种特殊时延,考虑综合时延的区间快变特性,采用状态反馈控制策略,通过构造适当的Lya-punov-Krasovskii泛函,推证出了闭环系统对执行器或传感器失效故障具有H∞鲁棒容错性能的时滞依赖充分条件,并以求解LMIs的方式给出了控制器的优化设计方法。最后以一个仿真算例验证了所述方法的可行性和有效性。

For a class of networked control systems with delay and data-packet-dropout in consideration of both parameter uncertaintiesand external disturbance with limited energy, the problem of robust H∞ fault-tolerant control for system with actuator and sensor failures is discussed. The data-packet-dropout is regard as a kind of special delay. The synthetical delay possesses fast interval time-varying characteristic. Based on state feedback control strategy and Lyapunov-Krasovakii functional, the delay-dependent sufficient conditions of robust H∞tolerant control for closed-loop system against actuator and sensor failures are derived. Meanwhile, the optimization design method of controller is given via solving several linear matrix inequalities. Finally, an example is used to illustrate the effectiveness and the feasibility of proposed approach.