Linear port-Hamiltonian descriptor systems

被引：92

作者：

Beattie, Christopher ^{[1
]}

Mehrmann, Volker ^{[2
]}

Xu, Hongguo ^{[3
]}

Zwart, Hans ^{[4
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] TU Berlin, Inst Math MA 4 5, Str 17 Juni 136, D-10623 Berlin, Germany

[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

[4] Univ Twente, Dept Appl Math, POB 217, NL-7500 AE Enschede, Netherlands

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2018年 / 30卷 / 04期

关键词：

Port-Hamiltonian system; Descriptor system; Differential-algebraic equation; Passivity; Stability; System transformation; Differentiation index; Strangeness-index; Skew-adjoint operator; PRESERVING MODEL-REDUCTION; REGULARIZATION; STABILIZATION; FORMULATION; EQUATIONS; NETWORKS; DYNAMICS; FORM;

D O I：

10.1007/s00498-018-0223-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The modeling framework of port-Hamiltonian systems is systematically extended to linear constrained dynamical systems (descriptor systems, differential-algebraic equations) of arbitrary index and with time-varying constraints. A new algebraically and geometrically defined system structure is derived. It is shown that this structure is invariant under equivalence transformations, and that it is adequate also for the modeling of high-index descriptor systems. The regularization procedure for descriptor systems to make them suitable for simulation and control is modified to preserve the port-Hamiltonian form. The relevance of the new structure is demonstrated with several examples.

引用

页数：27

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