OUTPUT FEEDBACK CONTROL OF INTERVAL TYPE-2 T-S FUZZY FRACTIONAL ORDER SYSTEMS SUBJECT TO ACTUATOR SATURATION

被引：0
|
作者：
Deng, Taoqi [1 ]
Zhang, Xuefeng [1 ]
Wang, Zhe [2 ]
机构：
[1] Northeastern Univ, Sch Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年 / 7卷 / 04期
关键词：
Fractional order systems; IT2 fuzzy systems; actuator saturation; linear matrix inequalities(LMIs); SINGULAR LINEAR-SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION; STABILITY; DESIGN; DELAYS;
D O I：
10.3934/mfc.2023025
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates the stabilization problem of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy fractional order systems (FOSs). Firstly, IT2 fuzzy model is constructed to approximate the subject to actuator saturation of systems. Then, the sufficient conditions of output feedback control of IT2 fuzzy FOSs in terms of linear matrix inequalities (LMIs) are presented by using the method involving matrix singular value decomposition (SVD). Furthwemore, we solve optimization problems to estimate stable regions according to the proposed stability conditions. Finally, we proposed a numerical example to demonstrate the availability of theoretical analysis results.
引用
收藏
页码：512 / 521
页数：10
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