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

Author

Fadali, Mohammed Sami ; Jafarzadeh, Saeed

Author_Institution

Electr. & Biomed. Eng. Dept., Univ. of Nevada, Reno, NV, USA

Volume

22

Issue

4

fYear

2014

fDate

Aug. 2014

Firstpage

1031

Lastpage

1038

Abstract

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.

Keywords

discrete time systems; linear matrix inequalities; power markets; power system stability; TSK systems; electric power market; energy markets; exponential stability; interval type-2 discrete time positive Takagi Sugeno Kang fuzzy systems; linear matrix inequalities; nonzero equilibrium point; stability analysis; Fuzzy sets; Mathematical model; Power system stability; Stability analysis; Uncertainty; Vectors; Energy market; positive systems; stability; type-2 TSK systems;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2013.2278028

Filename

6578152