Frequency Domain Criteria for Robust D-Stability of MIMO Systems Based on LMI Method

LI Hai-bin; WANG Zhi-zhen; WANG Long; LI Zhao-ping; LI Er-xiao

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(2): 186-192

LI Hai-bin, WANG Zhi-zhen, WANG Long, LI Zhao-ping, LI Er-xiao. Frequency Domain Criteria for Robust D-Stability of MIMO Systems Based on LMI Method[J]. Applied Mathematics and Mechanics, 2006, 27(2): 186-192.

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Frequency Domain Criteria for Robust D-Stability of MIMO Systems Based on LMI Method

1.
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China;

Received Date: 2003-11-21
Rev Recd Date: 2005-11-10
Publish Date: 2006-02-15

Abstract

Abstract

The problem of checking robust D-stability of multi-in and multi-out (MIMO) systems is studied. Three system models were introduced, i. e. multilinear polynomial matrix, polytopic polynomial matrix and feedback system model. Furthermore, the convex property of each model with respect to the parametric uncertainties was estabilished respectively. Based on this, sufficient conditions for D-stability were expressed in terms of linear matrix inequalities (LMIs) involving only the convex vertices. Therefore, the robust D-stability was tested by solving an LMI optimal problem.
- polynomial matrix,
- robust D-stability,
- linear matrix inequality,
- parametric uncertainty

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References(7)

References

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