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

Author

Listed:
  • Hongyi Li
  • Xingjian Sun
  • H. R. Karimi
  • Ben Niu

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.

Suggested Citation

  • Hongyi Li & Xingjian Sun & H. R. Karimi & Ben Niu, 2013. "Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, October.
    • Handle: RePEc:hin:jnlmpe:767093
    DOI: 10.1155/2013/767093
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