Symplectic discretization of Port Controlled Hamiltonian systems

被引：1
|
作者：
Lefevre, Laurent [1 ]
Medianu, Silviu [1 ]
机构：
[1] Univ Grenoble Alpes, LCIS, F-26902 St Martin Dheres, France
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词：
symplectic discretization; Port Controlled Hamiltonian systems; discrete-time systems; linear systems; nonlinear systems; DISCRETE; MECHANICS;
D O I：
10.1016/j.ifacol.2017.08.708
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a time-discretization framework is proposed for Port Controlled Hamiltonian (PCH) systems using combined discretization rules for the flows and efforts, which preserves the continuous-time structure. As examples for this formulation, three symplectic time-discretization schemes are presented, using classic discretization rules (implicit/explicit Euler, implicit mid-point and implicit trapezoidal), for the flows and efforts. As continuous-time model for exemplification using this framework, a linear capacitor microphone circuit is selected. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3629 / 3634
页数：6
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