Time Discretization of Nonlinear Time-delay System Using Matrix Exponential Method

被引：7
作者：
Zhang, Zheng [1 ,2 ,3 ]
Zhang, Yuanliang [4 ]
Chang, Young Won [5 ]
Chong, Kil To [5 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Peoples R China
[2] Changan Univ, Key Lab Minist Educ Special Area Highway Engn, Xian, Peoples R China
[3] Changan Univ, Key Lab Minist Educ Rd Construct Technol & Equipm, Xian, Peoples R China
[4] Huaihai Inst Technol, Sch Mech Engn, Lianyungang, Peoples R China
[5] Jeon Buk Natl Univ, Sch Elect Engn, Jeonju, South Korea
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2011年 / 9卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Matrix exponential; nonlinear input time-delay; state time-delay; time-discretization; STATE;
D O I：
10.1007/s12555-011-0624-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A time discretization method for nonlinear time-delay systems is proposed in this paper. The proposed method is based on the matrix exponential method and includes the automatic correction of rounding errors. It is robust to ill-conditioned problems and suitable for any nonlinear system. In the proposed algorithm, each sampling time interval is divided into two subintervals to be considered separately according to the time delay and the sampling period. The performance of the proposed discretization procedure is evaluated by two case studies.
引用
收藏
页码：1219 / 1226
页数：8
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