线性不确定系统具有完整性的一种设计方法

研究了参数不确定状态反馈控制系统的鲁棒容错问题，目的是设计状态反馈控制器使得对可容许的参数不确定性及传感器失效故障或／和执行器失效故障，系统依然保持全局渐近稳定，具有完整性。基于Lyapunov稳定性理论，应用矩阵的谱半径和最小特征值等概念，分别针对传感器失效、执行器失效以及传感器和执行器同时失效三种情况，推导出使闭环系统渐近稳定的三个定理，给出了一种新的、简单的控制律设计方法和设计步骤。最后，给出了一个设计算例，并就各种可能的传感器或／和执行器失效故障情况进行了仿真分析，应用研究结果验证了所提出方法的有效性和简单性。

A Design Method for Linear Uncertain Control Systems Possessing Integrity

The robust fault-tolerant control(FTC) problem of state feedback control systems with parameter uncertainty is studied.The purpose is to design state feedback controller such that,for all admissible uncertainties as well as sensor failures or/and actuator failures,the system remained globally stable and possessed integrity.By means of Lyapunov theory,three sufficient conditions are derived for the controller to maintain closed-loop systems asymptotically stable against arbitrary sensor failures,actuator failures,both sensor and actuator failures,respectively.Some concepts such as spectral radius and minimum eigenvalue of matrix are used to construct constrain inequalities in order to represent the sufficient conditions.Furthermore,the controller design method is given.The illustrative example and simulation results show the effectiveness and simplicity of the proposed method.