Absolute Stabilization Related to Circle Criterion: an LMI-Based Approach

YANG Ying; HUANG Lin

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YANG Ying, HUANG Lin. Absolute Stabilization Related to Circle Criterion: an LMI-Based Approach[J]. Applied Mathematics and Mechanics, 2003, 24(8): 805-811.

Citation:

YANG Ying, HUANG Lin. Absolute Stabilization Related to Circle Criterion: an LMI-Based Approach[J]. Applied Mathematics and Mechanics, 2003, 24(8): 805-811.

Citation:

YANG Ying, HUANG Lin. Absolute Stabilization Related to Circle Criterion: an LMI-Based Approach[J]. Applied Mathematics and Mechanics, 2003, 24(8): 805-811.

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Absolute Stabilization Related to Circle Criterion: an LMI-Based Approach

Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

Received Date: 2001-03-19
Rev Recd Date: 2003-04-29
Publish Date: 2003-08-15

Abstract

Abstract

Amethod is proposed for synthesizing output feedback controllers for nonlinear Lur'e systems.The problem of designing an output dynamic controller for uncertain-free systems and systems subject to multiplicative norm-bounded perturbations in the linear part were proposed respectively.The procedure is based on the use of the absolute stability,through the circle criterion,and a linear matrix inequalities(LMI) formulation.The controller existence conditions are given in terms of existence of suitable solutions to a set of parameter-dependent LMIs.
- nonlinear Lur’e systems,
- circle criterion,
- absolute stabilization,
- H_∞ control,
- LMI

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References(12)

References

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