Analysis of oscillation and stability for systems with piecewise linear components via saturation functions

被引：5
|
作者：
Hu, Tingshu [1 ]
Thibodeau, Thomas [1 ]
Teel, Andrew R. [2 ]
机构：
[1] Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA 01854 USA
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA USA
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
基金：
美国国家科学基金会;
关键词：
Self-induced oscillation; stability; piecewise linear systems; invariant set; piecewise quadratic function; ACTUATOR SATURATION; LYAPUNOV-FUNCTIONS;
D O I：
10.1109/ACC.2009.5160519
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 develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear components. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis.
引用
收藏
页码：1911 / +
页数：2
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