Admissibility analysis of interval type-2 uncertain stochastic descriptor systems

被引:3
作者
Sun, Xingjian [1 ]
Zhang, Qingling [1 ,2 ]
机构
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
关键词
Descriptor systems; Parametric uncertainty; Stochastic system; Interval type-2 fuzzy model; STATE-FEEDBACK CONTROL; SUGENO FUZZY-SYSTEMS; TIME-DELAY SYSTEMS; H-INFINITY; ADAPTIVE-CONTROL; DISCRETE; DESIGN; STABILITY; LOGIC; DISCRETIZATION;
D O I
10.1016/j.neucom.2018.05.093
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper considers the admissibility of interval type-2 (IT2) uncertain Itostochastic descriptor systems. Both membership functions and parametric matrices of considered nonlinear systems contain uncertain parameters. An IT2 fuzzy controller is designed such that the closed-loop descriptor systems is admissible. The membership functions of the controller and systems are unmatched. In the control systems, membership functions are represented by a partition method of footprint of uncertainty (FOU). Some conditions dependent on membership functions for the existence of IT2 fuzzy controller are obtained in the form of linear matrix inequality (LMI). In order to verify the effectiveness and feasibility of the proposed method, an IT2 fuzzy controller is designed for inverted pendulum system. (c) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:387 / 396
页数:10
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