Averaging in singularly perturbed hybrid systems with hybrid boundary layer systems

被引：0
|
作者：
Wang, Wei [1 ]
Teel, Andrew R. [2 ]
Nesic, Dragan [1 ]
机构：
[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
来源：
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年
基金：
澳大利亚研究理事会;
关键词：
STABILITY; CONVERGENCE; INPUT; SET;
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：
We analyze a class of singularly perturbed hybrid systems based on two auxiliary hybrid systems: the averaged system, which approximates the slow dynamics, and the boundary layer system, which approximates the fast dynamics. The average system is generated by averaging the solutions of the boundary layer system. The novelty of this work is that the boundary layer system is a hybrid system rather than a continuous-time system. This extends available results to cover new classes of hybrid systems. We illustrate how to apply our results through an example that is a power converter system under hybrid feedbacks implemented by pulse-width modulation (PWM).
引用
收藏
页码：6855 / 6860
页数：6
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