Linearization of switched non-linear systems

被引：3
|
作者：
Yuan, Yanyan [1 ]
Qiao, Yupeng [1 ]
Cheng, Daizhan [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Lab Syst & Control, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2010年 / 32卷 / 06期
关键词：
Lie derivative; quotient vector field; semi-tensor product of matrices; singular state feedback; state feedback linearization; switched non-linear system; NONREGULAR FEEDBACK LINEARIZATION; LYAPUNOV FUNCTIONS; STABILITY; STABILIZATION; CONTROLLABILITY; REACHABILITY; DESIGN;
D O I：
10.1177/0142331208095431
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of static state feedback linearization of switched non-linear systems is investigated. First, we consider the regular state feedback linearization. In this case, the single-input switched system is considered first. A necessary and sufficient condition is provided, which contains an uncertain single variable function. Then the result is extended to a multiple input case. Secondly, the problem of non-regular static state feedback linearization is considered. Using semi-tensor product, some easily verifiable sufficient conditions are obtained. Then some examples are presented to illustrate the linearization process.
引用
收藏
页码：677 / 705
页数：29
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