Finite frequency observer design for T-S fuzzy systems with unknown inputs: an LMI approach\

被引：3
|
作者：
Chibani, Ali [1 ]
Chadli, Mohammed [2 ]
Braiek, Naceur Benhadj [1 ]
机构：
[1] Univ Carthage, Polytech Sch Tunisia, Adv Syst Lab, BP 743, La Marsa 2078, Tunisia
[2] Univ Picardie Jules Verne, MIS EA 4290, Lab Modelisat Informat & Syst, 07 Rue Moulin Neuf, F-80000 Amiens, France
来源：
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2018年 / 29卷 / 02期
关键词：
T-S fuzzy models; unknown inputs observer; finite frequency domain; linear matrix inequality; LMI;
D O I：
10.1504/IJMIC.2018.090468
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 paper investigates the problem of H-infinity filtering for T-S fuzzy systems with unknown inputs. The frequency ranges of these external signals are assumed to be known beforehand and to belong in the low frequency band. The observer is designed in the low frequency domain such that the effects of the unknown inputs are attenuated to a specified level gamma by means of an H-infinity performance norm. By exploiting the generalised Kalman-Yakubovich-Popov (GKYP) lemma and the Lyapunov method, sufficient design conditions are derived in linear matrix inequality (LMI) formulations for both continuous-time and discrete-time T-S fuzzy models. Finally an illustrative example is introduced to prove the effectiveness of the proposed approach.
引用
收藏
页码：109 / 117
页数：9
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