Stability Analysis of Positive Interval Type-2 TSK Systems With Application to Energy Markets

被引：17

作者：

Fadali, M. Sami ^{[1
]}

Jafarzadeh, Saeed ^{[2
]}

机构：

[1] Univ Nevada, Elect & Biomed Engn Dept, Reno, NV 89557 USA

[2] Calif State Univ Bakersifeld, Elect & Comp Engn & Comp Sci Dept, Bakersfield, CA 93312 USA

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2014年 / 22卷 / 04期

关键词：

Energy market; positive systems; stability; type-2 TSK systems; POWER-SYSTEM; TIME;

D O I：

10.1109/TFUZZ.2013.2278028

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Positive systems play an important role in many fields including biology, chemistry, and economics, among others. This paper discusses the stability of interval type-2 discrete-time positive Takagi-Sugeno-Kang (TSK) fuzzy systems. It discusses positive TSK systems and their nonzero equilibrium point. It then provides sufficient conditions for their exponential stability and instability. All the proposed stability and instability conditions can be tested using linear matrix inequalities. The stability and instability tests are demonstrated through application to a TSK model of the electric power market under a variety of market conditions.

引用

页码：1031 / 1038

页数：9

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