D-CIS Publication Database


Type of publication:Inproceedings
Entered by:ADM
Bibtex cite ID
Booktitle Proceedings of the IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR)
Year published 2010
Month May
Location Cluj-Napoca, Romania
Keywords fuzzy estimation,fuzzy control
Analysis and observer design for nonlinear systems have long been investigated, but no generally applicable methods exist as yet. 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. 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 and what guarantees can be expected when an observer is designed based on an approximate fuzzy model and applied to the original nonlinear system. It is shown that in general, exponential stability of the estimation error dynamics cannot be obtained. However, the estimation error is in bounded. This bound is computed based on the approximation error and the Lyapunov function used. The results are illustrated using simulation examples.
Lendek, Zsófia
Babuška, Robert
De Schutter, Bart
bounds_appr_part1.pdf (main file)
Total mark: 5