Robust observed-state feedback design for discrete-time systems rational in the uncertainties

被引：19
|
作者：
Peaucelle, Dimitri [1 ]
Ebihara, Yoshio [2 ]
Hosoe, Yohei [2 ]
机构：
[1] Univ Toulouse, CNRS, LAAS CNRS, Toulouse, France
[2] Kyoto Univ, Dept Elect Engn, Nishikyo Ku, Kyoto 6158510, Japan
来源：
AUTOMATICA | 2017年 / 76卷
关键词：
Robust control; Descriptor systems; State observers; State feedback; Linear systems; Uncertain systems; Convex optimization; OUTPUT-FEEDBACK; LMI OPTIMIZATION; STABILITY; MODELS; H-2;
D O I：
10.1016/j.automatica.2016.10.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Design of controllers in the form of a state-feedback coupled to a state observer is studied in the context of uncertain systems. The classical approach by Luenberger is revisited. Results provide a heuristic design procedure that mimics the independent state-feedback/observer gains design by minimizing the coupling of observation error dynamics on the ideal state-feedback dynamics. The proposed design and analysis conditions apply to linear systems rationally-dependent on uncertainties defined in the cross-product of polytopes. Convex linear matrix inequality results are given thanks to the combination of a descriptor multi-affine representations of systems and the S-variable approach. Stability and H-infinity, performances are assessed by multi-affine parameter-dependent Lyapunov matrices. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：96 / 102
页数：7
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