Conditions of Stabilization of Positive Continuous Takagi-Sugeno Fuzzy Systems with Delay

被引:16
作者
Benzaouia, Abdellah [1 ]
El Hajjaji, Ahmed [2 ]
机构
[1] Univ Cadi Ayyad, Fac Sci Semlalia, LAEPT, BP 2390, Marrakech, Morocco
[2] Univ Picardie Jules Verne, MIS Lab, 33 Rue St Leu, F-80000 Amiens, France
关键词
T-S fuzzy systems; Positive systems; Fixed delay; Lyapunov-Krasovskii functional; Stabilization; Linear program; OUTPUT-FEEDBACK CONTROL; DISCRETE-TIME-SYSTEMS; H-INFINITY CONTROL; STABILITY;
D O I
10.1007/s40815-017-0444-5
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 deals with the problem of stability and stabilization of positive Takagi-Sugeno (T-S) fuzzy systems with fixed delays. The obtained conditions are given under the linear programming technique while imposing positivity constraint for the closed-loop system. New delay-independent stabilization conditions are derived by using a well-appropriated Lyapunov-Krasovskii functional. A real plant model is studied to show the applicability of the design procedure, while a numerical example is used to compare with LMI-based techniques.
引用
收藏
页码:750 / 758
页数:9
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