TY - GEN
T1 - Exponential stability of discrete-time Takagi-sugeno fuzzy systems
AU - Üstoǧlu, Ilker
AU - Yeşil, Engin
AU - Güzelkaya, Müjde
AU - Eksin, Ibrahim
PY - 2004
Y1 - 2004
N2 - Takagi-Sugeno (T-S) fuzzy models arc 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 exponential stability of a discrete time TS model is examined. The subsystems of TS 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. Moreover, a pointwise-in-time eigenvalue condition for exponential stability based on Rayleigh-Ritz inequality is presented.
AB - Takagi-Sugeno (T-S) fuzzy models arc 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 exponential stability of a discrete time TS model is examined. The subsystems of TS 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. Moreover, a pointwise-in-time eigenvalue condition for exponential stability based on Rayleigh-Ritz inequality is presented.
KW - Exponential stability
KW - Takagi-Sugeno fuzzy systems
KW - Time varying systems
UR - http://www.scopus.com/inward/record.url?scp=32844470973&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:32844470973
SN - 1889335231
T3 - Soft Computing with Industrial Applications - Proceedings of the Sixth Biannual World Automation Congress
SP - 519
EP - 524
BT - Soft Computing with Industrial Applications - International Symposium on Soft Computing for Industry, ISSCI - Proceedings of the Sixth Biannual World Automation Congress, WAC 2004
A2 - Jamshidi, M.
A2 - Reuter, M.
A2 - Andina, D.
A2 - Jamshidi, J.S.
T2 - Soft Computing with Industrial Applications - International Symposium on Soft Computing for Industry, ISSCI - Sixth Biannual World Automation Congress, WAC 2004
Y2 - 28 June 2004 through 1 July 2004
ER -