A descriptor system approach to H∞ control of linear time-delay systems

被引：659
|
作者：
Fridman, E [1 ]
Shaked, U [1 ]
机构：
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 02期
关键词：
delay-dependent criteria; descriptor systems; H-infinity-control; linear matrix inequalities (LMIs); time-delay systems;
D O I：
10.1109/9.983353
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 output-feedback H-infinity control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter." The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory.
引用
收藏
页码：253 / 270
页数：18
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