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 -