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期刊论文

STABILITY MARGIN OF SYSTEMS WITH MIXED UNCERTAINTIES UNDER THE IQC DESCRIPTIONS*

董海荣DONG Hai-rong GENG Zhi-yong WANG Jin-zhi HUANG Lin

Applied Mathematics and Mechanics Vol 23, No 11, Nov 2002,-0001,():

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摘要/描述

Stability perturbation bounds problem for systems with mixed uncertainties is discussed. It is supposed that the linear part in the forward loop is of parametric uncertainties described by interval perturbation mode, and that the nonlinear part in the feedback loop is characterized by an integral fluadratic constraint (IQC). The definition of stability margin under the interval perturbation mode is given by using the Minkowski functional. The infinite stability checking problem of the mixed uncertain system can be converted to finite or one dimensional stability checking for different structures of the IQC multipliers based on the concepts of biconvex and convex-concave functions and their properties. The result is illustrated to be efficient through an example.

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