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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한전기학회 Journal of Electrical Engineering & Technology Journal of Electrical Engineering & Technology Vol.6 No.5
- 발행연도
- 2011.9
- 수록면
- 697 - 705 (9page)
이용수
초록· 키워드
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In this paper, a closed-loop system constructed with a linear plant and nonlinearity in the feedback connection is considered to argue against its planar orbital stability. Through a state space approach, a main result that presents a sufficient stability criterion of the limit cycle predicted by solving the harmonic balance equation is given. Preliminarily, the harmonic balance of the nonlinear feedback loop is assumed to have a solution that determines the characteristics of the limit cycle. Using a state-space approach, the nonlinear loop equation is reformulated into a linear perturbed model through the introduction of a residual operator. By considering a series of transformations, such as a modified eigenstructure decomposition, periodic averaging, change of variables, and coordinate transformation, the stability of the limit cycle can be simply tested via a scalar function and matrix. Finally, the stability criterion is addressed by constructing a composite Lyapunov function of the transformed system.
목차
Abstract
1. Introduction
2. Preliminaries for System Analysis
3. Stability Criterion
4. Conclusion and Discussion
Acknowledgements
References
참고문헌 (21)
참고문헌 신청
M. Vidyasagar / 1993 / Nonlinear systems analysis / New Jersey: Prentice-Hall Inc
D. P. Atherton / 1975 / Nonlinear control Engineering / Van Nostrand Reinhold Company Ltd
J. M. Hidler / 2000 / Limit cycle behavior in spasticity: Analysis and evaluation / IEEE Transactions on Biomedical engineering 47(12):1565~1575
S. R. Sanders / 1993 / On limit cycles and the describing function method in periodically switched circuits / IEEE Transactions on Circuits and Systems 40(9):564~572
H. Pinheiro / 1999 / Self-sustained oscillating resonant converters operating above the resonant frequency / IEEE Transactions on Power Electronics 14(5):803~809
D. P. Atherton / 1975 / Nonlinear control Engineering / Van Nostrand Reinhold Company Ltd
J. M. Hidler / 2000 / Limit cycle behavior in spasticity: Analysis and evaluation / IEEE Transactions on Biomedical engineering 47(12):1565~1575
S. R. Sanders / 1993 / On limit cycles and the describing function method in periodically switched circuits / IEEE Transactions on Circuits and Systems 40(9):564~572
H. Pinheiro / 1999 / Self-sustained oscillating resonant converters operating above the resonant frequency / IEEE Transactions on Power Electronics 14(5):803~809
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