具有 H_∞ 范数界的传感器失效容错控制方法研究

A CONTROLLER WITH FAULT TOLERENT TO SENSOR FAILURES ALGORITHM FOR KEEPING THE CLOSED LOOP SYSTEM'S H ∞ NORM BOUND

容错控制在文献中已有大量的研究，但同时兼顾控制系统的闭环性能和对故障具有容错能力的容错控制算法尚不多见。作者首先从理论上分析了一个使闭环系统具有Ｈ∞范数性能的条件（引理１），并由此导出了一个以传感器失效具有容错能力且使正常系统和故障系统保持Ｈ∞范数界的控制系统设计方法，论文进一步地通过一个仿真例子验证了理论分析的结果。

Fault tolerent controller is studied in a lot of literatures,in which,however,only a little controller can make the closed loop system keep definite performance and be fauct tolerent The authors analyse what condition should be satisfied if the close loop system want to keep H ∞ norm performance,get a conclusion (Lema 1).Based on Lema 1,get two algorithms(Theory 1 and Throry 2) for designing controller,which can make the closed loop system(normal or with sensor fault) be stable and keep certain H ∞ norm performance,furthermore,A Simulation example is given,Both of the theorical analysis and the simulation result prove that the algorithm is effective