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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한전기학회 Journal of Electrical Engineering & Technology Journal of Electrical Engineering & Technology Vol.7 No.1
- 발행연도
- 2012.1
- 수록면
- 124 - 131 (8page)
이용수
초록· 키워드
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This paper deals with robust stability of linear time-invariant (LTI) systems with unstructured uncertainties. A new relation between uncertainties and system poles perturbed by the uncertainties is derived from a graphical analysis. A stability criterion for LTI systems with uncertainties is proposed based on this result. The migration range of the poles in the proposed criterion is represented as the bound of uncertainties, the condition number of a system matrix, and the disc containing the poles of a given nominal system. Unlike the existing methods depending on the solutions of algebraic matrix equations, the proposed criterion provides a simpler way which does not involves algebraic matrix equations, and a more flexible root clustering approach by means of adjusting the center and the radius of the disc as well as the condition number.
목차
Abstract
1. Introduction
2. Preliminary
3. Quadratic Disc Criterion
4. Numerical Example
5. Conclusions
Acknowledgements
References
참고문헌 (16)
참고문헌 신청
J. Bosche / 2005 / An Approach for Robust Matrix Root-clustering Analysis in a Union of Regions / IMA Journal of Mathematical Control and Information 22(3):227~239
R. D. Braatz / 1994 / Minimizing the Euclidean Condition Number / SIAM Journal of Control and Optimization 32(6):1763~1768
C. H. Fang / 1996 / Robustness of Pole- Clustering in a Ring for Structured Perturbation Systems / IEEE Transactions on Circuits and Systems 43(6):496~500
M. E. Halpem / 1995 / Pole Assignment with Robust Stability / IEEE Transactions on Automatic Control 40(4):725~729
D. Hinrichsen / 1992 / Robustness Measures for Linear Systems with Application to Stability Radii of Hurwitz and Schur Polynomials / International Journal of Control 55(4):809~844
R. D. Braatz / 1994 / Minimizing the Euclidean Condition Number / SIAM Journal of Control and Optimization 32(6):1763~1768
C. H. Fang / 1996 / Robustness of Pole- Clustering in a Ring for Structured Perturbation Systems / IEEE Transactions on Circuits and Systems 43(6):496~500
M. E. Halpem / 1995 / Pole Assignment with Robust Stability / IEEE Transactions on Automatic Control 40(4):725~729
D. Hinrichsen / 1992 / Robustness Measures for Linear Systems with Application to Stability Radii of Hurwitz and Schur Polynomials / International Journal of Control 55(4):809~844
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