带观测器系统的鲁棒设计:组合系统矩阵的Frobenius范数的最小化

Robust Design of System with Observer:Minimization of Frobenius Norm of Combined System Matrix

本文利用带观测器组合系统的状态反馈矩阵 F 及观测器矩阵 L,在配置极点外剩余的自由度上,以组合系统矩阵的 Frobenius 范数为性能指标,并用梯度法使其鲁棒稳定边界增加。计算实例表明,效果明显。

As for the feedback matrix F and the observer matrix L of the combined system with an observer, with their residual degrees of freedom after pole assignment, the combined system matrix is directly proposed as a performance index and the gradient method is used to increase the stability bound. The numerical examples show the result is ideal.