非结构化不确定性矩阵的极点鲁棒集聚于优良飞行性能区域的分析(英文)

Analysis of robust pole clustering ina good ride quality region of aircraft for matriceswith unstructured uncertainties

中文关键词  鲁棒极点集聚  鲁棒性能  不确定系统  分析  飞行性能

中文摘要

      分析了不确定性矩阵的极点鲁棒集聚于飞机的一个优良飞行性能区域.该区域是一个特殊的非Ω可变换区域,它是一个圆环和一个水平带域的位于左半平面的交集,由试验知道位于这个区域的控制系统极点提供了飞机优良的飞行性能.由于广义Lyapunov理论不适用于非Ω可变换区域,因此本文应用Rayleigh原理和范数理论进行分析,所考虑的不确定性是非结构化的.所得结果可应用于飞机、飞行器和空间站等鲁棒分析.

英文摘要

      For poles of an uncertain matrix a general analysis is presented for their robust clustering in a good ride quality region (GRQR) of aircraft. The GRQR being a specific non-Ω-transformable region is the intersection of a ring with a horizontal strip in the left half-plane. From experiments it is known that the control system with poles located in this specific region provides a good flight performance for aircrafts. The Rayleigh principle along with the norm theory is applied to analyze the problem, since the generalized Lyapunov theory is not suitable for non-Ω-transformable regions. The uncertainties of main concern are unstructured, and the obtained results may be applied to robustness analysis for aircrafts, shuttles, and space stations. An example is given to illustrate the results for a perturbed closed-loop system matrix of an aircraft approximation model.