Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions

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

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DONG Hai-rong, GENG Zhi-yong, WANG Jin-zhi, HUANG Lin. Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1133-1140.

Citation:

DONG Hai-rong, GENG Zhi-yong, WANG Jin-zhi, HUANG Lin. Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1133-1140.

Citation:

DONG Hai-rong, GENG Zhi-yong, WANG Jin-zhi, HUANG Lin. Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1133-1140.

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Stability Margin of Systems With Mixed Uncertainties Under the IQC Descriptions

1.
Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P R China;
2.
School of Electronics and Information Engineering, North Jiaotong University, Beijing 100044, P R China

Received Date: 2001-08-13
Rev Recd Date: 2002-07-10
Publish Date: 2002-11-15

Abstract

Abstract

Stability perturbation bounds problem for systems with mixed uncertainties is discussed.It is supposed that the linear part in the forwark loop is of parametric unceratinties described by interval perturbation mode,and that the non-linear part in the feedback loop is characterized by an integral quadratic 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 coverted 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.
- system with mixed uncertainty,
- perturbation margin,
- integral quadratic constraint,
- parametric uncertainty,
- stability checking

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References(9)

References

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