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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 767093, 10 pages
http://dx.doi.org/10.1155/2013/767093
Research Article

Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling

1College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China
2School of Mathematics and Physics, Bohai University, Jinzhou, Liaoning 121013, China
3Department of Engineering, Faculty of Engineering and Science, University of Agder, Grimstad, Norway

Received 27 June 2013; Accepted 22 August 2013

Academic Editor: Xudong Zhao

Copyright © 2013 Hongyi Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systems with nonuniform uncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedback controller is designed such that the closed-loop system is very-strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.