首页> 中文期刊> 《控制理论与应用》 >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

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

         

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n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n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.%For poles of an uncertain matrLx a general analysis is presented for their robust clustering in a good ride qmlity region (GRQR) of aircraft. The GRQR being a specific non-Ω-transfonnable 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 amlyze the problem, since the generalized Lyapunov theory is not suitable for non-Ω-transformable regiom. The uncertainties of main concern are umtmctared, and the obtained results may be applied to robustness amlysis 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.

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