Periodic orbit analysis of switched linear systems

被引：1

作者：

Su, Jing-Ya ^{[1
]}

Wang, Xinhua ^{[1
]}

Cai, Kai-Yuan ^{[1
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Sch Automat, Beijing 100083, Peoples R China

来源：

2007 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS, VOLS 1-6 | 2007年

关键词：

switched linear systems; periodic orbit; periodically switched linear systems; manipulator;

D O I：

10.1109/ICAL.2007.4338794

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper focuses on the distribution problem of periodic orbits for a class of switched two-dimensional linear systems. A necessary and sufficient condition is proposed to solve the existence problem of periodic solutions for periodically switched linear systems. Then concerning the dwell time irrelated to the initial condition a periodic orbit continuum appears if and only if a periodic orbit exists. In addition, based on the multi-lyapunov functions, a controller is designed to make the continuum asymptotically stabilize to a periodic orbit. Finally, the theoretical result is explained by a two-DOF manipulator example.

引用

页码：1425 / 1430

页数：6

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