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

Hongyi Li, Xingjian Sun, H. R. Karimi and Ben Niu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:767093

DOI: 10.1155/2013/767093

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