Reference:
Zs. Lendek,
R. Babuska, and
B. De Schutter,
"Stability bounds for fuzzy estimation and control - Part II:
Output-feedback control," Proceedings of the 2010 IEEE
International Conference on Automation, Quality and Testing, Robotics
(AQTR 2010), Cluj-Napoca, Romania, May 2010. Paper A-S1-4/3030.
Abstract:
A large class of nonlinear systems can be well approximated by
Takagi-Sugeno fuzzy models, for which methods and algorithms have been
developed to analyze their stability and to design observers and
controllers. However, results obtained for Takagi-Sugeno fuzzy models
are in general not directly applicable to the original nonlinear
system. In this paper, we investigate what conclusions can be drawn
when an observer-based controller is designed for an approximate model
and then applied to the original nonlinear system. In particular, we
consider the case when the scheduling vector used in the membership
functions of the observer depends on the states that have to be
estimated. The results are illustrated using simulation examples.