A Unified Lyapunov Approach to Analysis of Oscillations and Stability for Systems With Piecewise Linear Elements

被引：9
|
作者：
Hu, Tingshu [1 ]
Thibodeau, Thomas [2 ]
Teel, Andrew R. [3 ]
机构：
[1] Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA 01854 USA
[2] Polar Controls, Shirley, MA 01464 USA
[3] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 12期
基金：
美国国家科学基金会;
关键词：
Piecewise linear systems; piecewise quadratic function; self-induced oscillation; stability; AFFINE SYSTEMS; INVARIANT-SETS; COMPUTATION;
D O I：
10.1109/TAC.2010.2073070
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 technical note develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear elements. 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：2864 / 2869
页数：6
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