Robust H∞ output feedback finite-time control for interval type-2 fuzzy systems with actuator saturation

被引:2
作者
Liu, Chuang [1 ,2 ]
Wu, Jinxia [3 ]
Yang, Weidong [1 ]
机构
[1] Univ Sci & Technol Beijing, Sch Automat, Beijing 100083, CO, Peoples R China
[2] BoHai Univ, Coll Control Sci & Engn, Jinzhou 121001, Liaoning, Peoples R China
[3] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Liaoning, Peoples R China
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 03期
基金
中国国家自然科学基金;
关键词
interval type-2 Takagi-Sugeno fuzzy system; H-infinity observer-based finite-time control; input saturation; stability conditions; CENTROID TYPE-REDUCTION; STABILITY ANALYSIS; SWITCHED SYSTEMS; STABILIZATION; SUBJECT; DELAY; UNCERTAINTIES; ALGORITHMS;
D O I
10.3934/math.2022257
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The finite-time Ho, performance of the interval type-2 Takagi-Sugeno fuzzy system (IT2 T-S) in presence of immeasurable states and input saturation is investigated. At first, an observer associated with IT2 T-S states is considered to address the problem of immeasurable states. After that, the input saturation is described based on the polyhedron model, and accordingly, a robust H-infinity, observer-based finite-time controller is proposed via non-PDC algorithm. Then, on the basis of the Lyapunov function method and LMIs theory, the sufficient conditions for the finite time stability of fuzzy systems are derived. At last, the feasibility of the designed algorithm is verified by two examples of the nonlinear mass-spring-damping system and tunnel diode circuit system, respectively.
引用
收藏
页码:4614 / 4635
页数:22
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