Exponential stability of discrete-time Takagi-sugeno fuzzy systems

Ilker Üstoǧlu*, Engin Yeşil, Müjde Güzelkaya, Ibrahim Eksin

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2 Atıf (Scopus)

Özet

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.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıSoft Computing with Industrial Applications - International Symposium on Soft Computing for Industry, ISSCI - Proceedings of the Sixth Biannual World Automation Congress, WAC 2004
EditörlerM. Jamshidi, M. Reuter, D. Andina, J.S. Jamshidi
Sayfalar519-524
Sayfa sayısı6
Yayın durumuYayınlandı - 2004
EtkinlikSoft Computing with Industrial Applications - International Symposium on Soft Computing for Industry, ISSCI - Sixth Biannual World Automation Congress, WAC 2004 - Sevilla, Spain
Süre: 28 Haz 20041 Tem 2004

Yayın serisi

AdıSoft Computing with Industrial Applications - Proceedings of the Sixth Biannual World Automation Congress

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???event.eventtypes.event.conference???Soft Computing with Industrial Applications - International Symposium on Soft Computing for Industry, ISSCI - Sixth Biannual World Automation Congress, WAC 2004
Ülke/BölgeSpain
ŞehirSevilla
Periyot28/06/041/07/04

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