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研究基于特征结构配置的二阶线性系统鲁棒容错控制设计问题,目的是重新设计状态反馈控制律,使得故障闭环系统和正常闭环系统具有相同的特征值.两闭环系统的特征向量依最小二乘法接近,而且能通过极小化灵敏度指标提高系统的鲁棒性.基于状态反馈特征结构配置的参数化结果,将系统灵敏度指标优化问题转化为含有约束条件的优化问题,并提出了鲁棒容错控制设计方法.数值算例及其仿真结果验证了所提出设计方法的有效性.
The problem of robust fault-tolerant control design for a class of second-order linear systems based on eigen-structure configuration is studied. The purpose is to redesign the state feedback control law so that the fault closed-loop system and the normal closed-loop system have the same eigenvalues. The eigenvectors of two closed- And can improve the robustness of the system by minimizing the sensitivity index.Based on the parametric results of the state feedback feature configuration, the optimization of the sensitivity index of the system is transformed into an optimization problem with constraints and a robust fault-tolerant control Design method The numerical example and its simulation results verify the effectiveness of the proposed design method.