研究生: |
邱上桓 Chiu, Shang-Huan |
---|---|
論文名稱: |
Electromechanical System: Formulation and Stability 機電系統:形式化及穩定性 |
指導教授: |
陳樹杰
Chern, Shuh-Jye |
口試委員: |
陳建隆
陳國璋 |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2011 |
畢業學年度: | 99 |
語文別: | 中文 |
論文頁數: | 47 |
中文關鍵詞: | 機電系統 、形式化 、平衡態之穩定性 |
外文關鍵詞: | Electromechanical System, LaSalle's principle, inertia theorem, energy-Casimir method |
相關次數: | 點閱:1 下載:0 |
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本論文主要的目的是描述機電系統的三種數學表示式,並利用三種方法來分析以這些表示式來描述之機電系統平衡態的穩定性。之後再提供一些例子說明這些表示式和方法實際運用的情況。
Inthisthesis,threeformulationsoftheelectromechanicalsystemsareintroduced.Meth-odsofstabilityanalysissuchasLaSalle'sprinciple,linearizationandenergy-Casimirmethodareemployedinstudyingsomeexamplesofelectriccircuitsandmotors.
[1] V. I. Arnold, Mathematical Methods of Classical Mechanics , Springer Verlag, New York, second
edition, 1989.
[2] S. J. Chern, Stability theory for linear dissipative Hamiltonian systems, Linear Algebra Appl.
357, 143-162, 2002.
[3] J. k. Hale, Ordinary Dierential Equations, John Wiley and Sons, New York, 1969.
[4] S.B. Hsu, Ordinary Dierential Equations with Applications, Vol.16. Series on Applied Mathematics,
world scientic, New Jersey, 2006.
[5] S. E. Lyshevski, Nano- and Micro- Electromechanical Systems: Fundamentals of nano- and
microengineering , CPC Press, Florida, second edition, 2005.
[6] B. M. J. Maschke, R. Ortega, A. J. van der Schaft, Energy-Based Lyapunov Functions for Forced
Hamiltonian Systems with Dissopation, IEEE Trans. Aut. Contr., Vol. 45, NO. 8, 1498-1502,
2000.
[7] J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry, Springer Verlag,
New York, second edition, 1999.
[8] J. I. Nemark and N. A. Fufaev, Dynamics of Nonholonomic Systems, Vol. 33. Translations of
Mathematical Monograph, AMS, Providence, RI, 1972.
[9] A. J. van der Schaft, Port-Hamiltonian Systems: network modeling and control of nonlinear
physical systems, H. Irschik and K. Schlacher, Editors, Advanced Dynamics and Control of
Structures and Machines, Springer, New York, 127-168, 2004.