Systematic state equation derivation for linear systems using the normal tree method

Altun K., PLATİN B. E., BALKAN R. T.

2003 ASME International Mechanical Engineering Congress, Washington, Amerika Birleşik Devletleri, 15 - 21 Kasım 2003, cilt.72, ss.869-877 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 72
  • Doi Numarası: 10.1115/imece2003-41237
  • Basıldığı Şehir: Washington
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.869-877
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

A systematic method to derive the state equations of a linear system starting from its linear graph is proposed. The normal tree is used in the analysis, which is a method to determine the dependencies between energy storage elements in the system. An algorithm to list all normal trees of a system graph is developed, which enables the determination of energy-based state variable sets and corresponding state equations. A computer program is developed to realize these algorithms, which derives the state equations of a system, given its linear graph.