Robust stabilization and H∞ control for uncertain fuzzy neutral systems with mixed time delays

  • Authors:

  • Yongmin Li;Shengyuan Xu;Baoyong Zhang;Yuming Chu

  • Affiliations:

  • School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China and School of Science, Huzhou Teachers College, Huzhou 313000, Zhejiang, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;School of Science, Huzhou Teachers College, Huzhou 313000, Zhejiang, PR China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

Quantified Score

Hi-index 0.21

Visualization

Abstract

This paper investigates the problems of robust stabilization and robust H"~ control for uncertain Takagi-Sugeno (T-S) fuzzy neutral systems with both discrete and distributed time delays. The uncertainties are time-varying but norm-bounded. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable (for the stabilization problem) and robustly stable with an H"~ performance level (for the H"~ control problem), respectively. Sufficient conditions for the solvability of the two problems are obtained by utilizing a Lyapunov functional together with the linear matrix inequality (LMI) approach. When the LMIs are feasible, an explicit expression of a desired state feedback fuzzy controller is given. A numerical example is provided to demonstrate the applicability of the proposed design method.