文章基本信息

标题：Model reduction of constrained mechanical systems in M-M.E.S.S. ⁎
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作者：Jens Saak ; Matthias Voigt
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：2
页码：661-666
DOI：10.1016/j.ifacol.2018.03.112
语种：English
出版社：Elsevier
摘要：AbstractWe discuss balanced truncation model reduction of constrained mechanical systems. The incorporation of the algebraic constraints leads to linear differential-algebraic control systems of index 2 or 3. Then for the square-root method in balanced truncation, the solution of projected Lyapunov equations is required. In this paper we discuss how to avoid the explicit construction of the projectors and the formulation of a projection-avoiding balanced truncation method which is suitable for efficient numerical computations. We have implemented this method in the Matlab packageM-M.E.S.S.and present some numerical results for illustration.
关键词：KeywordsConstraintscontinuous-time systemsLyapunov equationmathematical systems theorymechanical systemsmodel reductionnumerical algorithmssingular systems