TY - GEN
T1 - Stability of Takagi-Sugeno fuzzy systems
AU - Üstoǧlu, Ilker
PY - 2006
Y1 - 2006
N2 - Takagi-Sugeno (T-S) fuzzy models are usually used to describe nonlinear systems by a set of IF-THEN rules that gives local linear representations of subsystems. The overall model of the system is then formed as a fuzzy blending of these subsystems. It is important to study their stability or the synthesis of stabilizing controllers. The stability of TS models has been derived by means of several methods: Lyapunov approach, switching systems theory, linear system with modeling uncertainties, etc. In this study, the uniform stability, and uniform exponential stability of a discrete time T-S model is examined. Moreover, a perturbation result and an instability condition are given. The subsystems of T-S models that is studied here are time varying and a new exponential stability theorem is given for these types of TS models by examining the existence of a common matrix sequence.
AB - Takagi-Sugeno (T-S) fuzzy models are usually used to describe nonlinear systems by a set of IF-THEN rules that gives local linear representations of subsystems. The overall model of the system is then formed as a fuzzy blending of these subsystems. It is important to study their stability or the synthesis of stabilizing controllers. The stability of TS models has been derived by means of several methods: Lyapunov approach, switching systems theory, linear system with modeling uncertainties, etc. In this study, the uniform stability, and uniform exponential stability of a discrete time T-S model is examined. Moreover, a perturbation result and an instability condition are given. The subsystems of T-S models that is studied here are time varying and a new exponential stability theorem is given for these types of TS models by examining the existence of a common matrix sequence.
KW - Takagi-Sugeno fuzzy systems
KW - Time varying systems
KW - Uniform and exponential stability
UR - http://www.scopus.com/inward/record.url?scp=77954056646&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:77954056646
SN - 9728865597
SN - 9789728865597
T3 - ICINCO 2006 - 3rd International Conference on Informatics in Control, Automation and Robotics, Proceedings
SP - 213
EP - 216
BT - ICINCO 2006 - 3rd International Conference on Informatics in Control, Automation and Robotics, Proceedings
T2 - 3rd International Conference on Informatics in Control, Automation and Robotics, ICINCO 2006
Y2 - 1 August 2006 through 5 August 2006
ER -