THE FRAMEWORK FOR LINEAR PERIODIC TIME-DELAY SYSTEMS BASED ON SEMI-DISCRETIZATION: STABILITY ANALYSIS AND CONTROL

被引：6
|
作者：
Shao, Chenhui [1 ]
Sheng, Jie [2 ]
机构：
[1] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA
[2] Univ Sci & Technol China, Dept Automat, Hefei 230027, Anhui, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2014年 / 16卷 / 05期
关键词：
Periodic time-delay systems; periodic neutral systems; stability analysis; feedback control; semi-discretization; H-INFINITY CONTROL; NEUTRAL SYSTEMS; ROBUST STABILITY; DESIGN;
D O I：
10.1002/asjc.817
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stability analysis and control for linear periodic time-delay systems are investigated in this paper. In this framework, a semi-discretization method is used to develop a mapping of the system response in a finite-dimensional state space. With the mapping, the stability region and stability boundary can be identified by comparing the maximum absolute value of its eigenvalues to 1. More importantly, an efficient stability criterion is presented for periodic neutral systems. In addition, minimization of the maximum absolute value of the mapping's eigenvalues leads to optimal control gains. The tracking control problem is also discussed. Two numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：1350 / 1360
页数：11
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