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

页码：677 / 705

页数：29

共 50 条

[21] Robust adaptive control of switched non-linear systems in strict feedback form with unknown time delay
Chehardoli, H.
Eghtesad, M.
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2015, 32 (04) : 761 - 779
[22] Asynchronous control of discrete-time switched systems with non-linear perturbation
Gao, Juan
Wang, Xing Tao
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (02) : 655 - 666
[23] Robust stabilization of uncertain switched non-linear systems subject to actuator saturation
Wei, Yunliang
Lu, Junwei
Li, Ze
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2014, 31 (03) : 295 - 312
[24] Control of non-linear switched systems with average dwell time: interval observer-based framework
He, Zhongwei
Xie, Wei
IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (01) : 10 - 16
[25] Solvability of the output regulation problem for switched non-linear systems
Dong, X.
Zhao, J.
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (08) : 1130 - 1136
[26] Tracking control for a class of switched non-linear systems with time-varying delay
Xiang, Zhengrong
Liu, Shilong
Chen, Qingwei
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2013, 35 (03) : 398 - 406
[27] Exponential stability of switched stochastic delay systems with non-linear uncertainties
Liu, Jun
Liu, Xinzhi
Xie, Wei-Chau
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2009, 40 (06) : 637 - 648
[28] Reliable guaranteed cost control for uncertain switched non-linear systems
Wang, Rui
Zhao, Jun
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2009, 40 (03) : 205 - 211
[29] Finite-time H∞ control of switched affine non-linear systems based on the Lie derivative and iteration technique
Gao, Zairui
Wang, Yan
Ji, Zhicheng
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18) : 3148 - 3154
[30] Input-to-state stability for non-linear switched stochastic delayed systems with asynchronous switching
Zhang, Meng
Zhu, Quanxin
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (03) : 351 - 359

← 1 2 3 4 5 →