针对传感器故障的容错控制问题的数值解法

NUMERICAL METHODS FOR FAULT-TOLERANCE CONTROL AGAINST SENSOR FAULTS

针对状态反馈闭环系统中的传感器故障容错控制问题，先基于稳定多项式分解导出该容错控制问题状态反馈闭环系统稳定的充分必要条件．在此基础上，基于相容非线性方程组数值解法，提出具有传感器故障容错控制的状态反馈律设计方法．还基于数值优化解方法，提出面向闭环系统极点配置的另一状态反馈容错控制律设计方法．计算机仿真算例表明此方法的有效性．

For the fault-tolerance control against sensor faults in linear state feedback systems, sufficient and necessary conditions that make the closed-loop systems stable are proposed based on the fractionization method of the stable polynomials. Then, a designing method of the fault-tolerance state feedback law is presented via the numerical solutions to the nonlinear equations. Finally, based on the nonlinear optimization technique, another designing method of the fault-tolerance state feedback law for pole placement of the closed-loop systems is proposed. Computer simulation examples show the effectiveness of these fault-tolerance control methods.