Fuzzy TSK positive systems: Stability and control

Author

Fadali, Mohammed Sami ; Jafarzadeh, Saeed

Author_Institution

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

fYear

2011

fDate

June 29 2011-July 1 2011

Firstpage

4964

Lastpage

4969

Abstract

Positive systems play an important role in many fields including biology, chemistry, and economics, among others. This paper discusses the stability and control of discrete-time positive Takagi-Sugeno-Kang (TSK) fuzzy systems. It provides a sufficient condition for their exponential stability, as well as a sufficient condition for their instability. It also presents a new approach to their controller design. We present two examples to demonstrate our results. In the first example we develop a positive TSK fuzzy Volterra predator-prey model and investigate its stability. The second example demonstrates our controller design methodology.

Keywords

Volterra equations; asymptotic stability; control system synthesis; discrete time systems; fuzzy control; linear matrix inequalities; predator-prey systems; Volterra predator-prey model; controller design; discrete-time positive Takagi-Sugeno-Kang fuzzy system; exponential stability; fuzzy TSK positive systems; instability condition; linear matrix inequalities; Fuzzy systems; Linear systems; Predator prey systems; Stability analysis; Sufficient conditions; Trajectory; Positive systems; TSK systems; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2011

Conference_Location

San Francisco, CA

ISSN

0743-1619

Print_ISBN

978-1-4577-0080-4

Type

conf

DOI

10.1109/ACC.2011.5991408

Filename

5991408