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, United States Of America, 15 - 21 November 2003, vol.72, pp.869-877 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 72
  • Doi Number: 10.1115/imece2003-41237
  • City: Washington
  • Country: United States Of America
  • Page Numbers: pp.869-877
  • Yıldız Technical University Affiliated: No


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.