线性参数扰动连续系统的D─稳定鲁棒性分析

D-Stability Robustness Analysis for Linear Parameter Perturbed Continuous Systems

研究了线性参数扰动连续系统的Ｄ─稳定鲁棒性。若标称系统的所有特征值均位于某给定的扇形域Ｄ中，得到了线性连续系统在结构扰动和非结构扰动下其所有特征值仍位于相同扇形域Ｄ中的鲁棒界。利用结构扰动结果分析了线性连续区间系统的特征值的分布情况。对于线性连续区间参数系统还给出了区间扰动向量的一组界以使得其所有特征值均位于给定的扇形域Ｄ中。

The D-stability robustness for linear parameter perturbed continuous systems is studied. If all eigenvalues of a nominal system are located in a specified sector of the complex plane,then the proposed both structured and unstructured perturbation bounds guarantee that all the eigenvalues of the perturbed system remain inside the same sector.And we apply the results of the structured perturbation bounds to the analysis for eigenvalue clustering of interval systems.A complete set of bounds on the perturbation vector is given so that all the eigenvalues of interval parameter systems are also in the same sector region.