On averaging for switched linear differential algebraic equations

被引：0

作者：

Iannelli, Luigi ^{[1
]}

Pedicini, Carmen ^{[1
]}

Trenn, Stephan ^{[2
]}

Vasca, Francesco ^{[1
]}

机构：

[1] Univ Sannio, Dept Engn, I-82100 Benevento, Italy

[2] Univ Kaiserslautern, Dept Math, D-67663 Kaiserslautern, Germany

来源：

2013 EUROPEAN CONTROL CONFERENCE (ECC) | 2013年

关键词：

SYSTEMS; STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Averaging is an effective technique which allows the analysis and control design of nonsmooth switched systems through the use of corresponding simpler smooth averaged systems. Approximation results and stability analysis have been presented in the literature for dynamic systems described by switched ordinary differential equations. In this paper the averaging technique is shown to be useful also for the analysis of switched systems whose modes are represented by means of differential algebraic equations (DAEs). An approximation result is derived for a simple but representative homogenous switched DAE with periodic switching signals and two modes. Simulations based on a simple electrical circuit model illustrate the theoretical result.

引用

页码：2163 / 2168

页数：6

共 20 条

[1] Harmonic analysis of pulse-width modulated systems [J].