Systematic Modelling Using Lagrangian DAEs

R.A. Layton and B.C. Fabien

Mathematical and Computer Modelling of Dynamical Systems, 2001, vol. 7, issue 3, 273-304

Abstract: A treatment for formulating equations of motion for discrete engineering systems using a differential-algebraic form of Lagrange's equation is presented. The distinguishing characteristics of this approach are the retention of constraints in the mathematical model and the consequent use of dependent coordinates. A derivation of Lagrange's equation based on the first law of thermodynamics is featured. Nontraditional constraint classifications for Lagrangian differential-algebraic equations (DAEs) are defined. Model formulation is systematic and lays a foundation for developing DAE-based tools and algorithms for applications in dynamic systems and control.

Date: 2001
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DOI: 10.1076/mcmd.7.3.273.3642

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