Further Enhancement on Robust H∞ Control Design for Discrete-Time Singular Systems

被引：79
|
作者：
Chadli, Mohammed [1 ]
Darouach, Mohamed [2 ]
机构：
[1] Univ Picardie Jules Verne, MIS EA 4290, F-80039 Amiens, France
[2] Univ Lorraine, CRAN CNRS UMR 7039, IUT Longwy, F-54400 Cosnes Et Romain, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 02期
关键词：
H-infinity control; admissibility; linear systems; singular systems; strict LMIs; uncertainty; BOUNDED REAL LEMMA; DESCRIPTOR SYSTEMS; FEEDBACK CONTROL; STABILITY; STABILIZATION;
D O I：
10.1109/TAC.2013.2273266
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note deals with the robust H-infinity control design for uncertain discrete-time singular systems. Necessary and sufficient conditions for the admissibility for these systems are formulated in strict linear matrix inequalities (LMIs) formulation. Then both state feedback and static output feedback controllers are studied and robust necessary and sufficient design conditions are expressed in terms of strict bilinear matrix inequalities (BMIs). Robust H-infinity controllers are designed for uncertain singular systems including uncertainties on matrix E. LMI design conditions are also proposed. An illustrative example is provided to show the effectiveness of the proposed approach.
引用
收藏
页码：494 / 499
页数：7
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