Controller design for a class of nonlinear systems based on fuzzy hyperbolic model

被引:0
|
作者
Yang, Jun [1 ]
Liu, Derong [2 ]
Feng, Jian [1 ]
Zhang, Huaguang [1 ]
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
[2] Univ Illinois, Dept Elect & Comp Engn, Chicago, IL 60607 USA
基金
中国博士后科学基金;
关键词
fuzzy hyperbolic model (FHM); fuzzy hyperbolic H-infinity control; polytopic-type uncertainties;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a fuzzy hyperbolic H-infinity controller (FHC), for a class of nonlinear systems based on fuzzy hyperbolic model (FHM), is proposed. FHM is a universal approximator, and can be used to establish the model for unknown complex systems. Moreover, the main advantage of using FHM over T-S fuzzy model is that no premise structure identification is need and no completeness design of premise variables space is need. Also an FHM is a kind of valid global description and nonlinear model inherently. Firstly, an FHM is proposed to represent the statespace model for nonlinear systems. Secondly, considering the influence of both approximation error and external disturbance, fuzzy hyperbolic H-infinity control scheme is addressed by solving a set of linear matrix inequalities (LMIs). Some free-weighting matrices are introduced to express the relationships among the system variables. The results are then easily extended to a system with polytopic-type uncertainties. Simulation research shows the validity of this control scheme.
引用
收藏
页码:873 / +
页数:2
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