LFT Modeling and Robust Stability Analysis of Missiles with Uncertain Parameters

Title & Authors
LFT Modeling and Robust Stability Analysis of Missiles with Uncertain Parameters
Hou, Zhen-Qian; Liang, Xiao-Geng; Wang, Wen-Zheng; Li, Rui;

Abstract
The structured singular value ($\small{{\mu}}$) analysis based method has many advantages for the robust stability analysis of missiles with uncertain parameters. Nevertheless, the present linear fractional transformation (LFT) modeling process, which is the basis of $\small{{\mu}}$ analysis, is complex, and not suitable for automatic implementation; on the other hand, $\small{{\mu}}$ analysis requires a large amount of computation, which is a burden for large-scale application. A constructive procedure, which is computationally more efficient, and which may lead to a lower order realization than existing algorithms, is proposed for LFT modeling. To reduce the calculation burden, an analysis method is developed, based on skew $\small{{\mu}}$. On this basis, calculation of the supremum of $\small{{\mu}}$ over a fixed frequency range converts into a single skew $\small{{\mu}}$ value calculation. Two algorithms are given, to calculate the upper and lower bounds of skew $\small{{\mu}}$, respectively. The validity of the proposed method is verified through robust stability analysis of a missile with real uncertain parameters.
Keywords
LFT;skew-$\small{{\mu}}$;real-uncertain-parameters;robust-stability;missile;
Language
English
Cited by
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