Title :
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
fDate :
June 29 2011-July 1 2011
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;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5991408
