Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach

  • Authors:

  • Changchun Hua;Qing-Guo Wang;Xinping Guan

  • Affiliations:

  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China;Department of Electrical and Computer Engineering, National University of Singapore, Singapore;Institute of Electrical Engineering, Yanshan University, Qinhuangdao and Department of Automation, Shanghai Jiao Tong University, Shanghai, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

The robust control problem is investigated for a class of uncertain nonlinear time-delay systems. Via the Takagi-Sugeno (T-S) fuzzification, we obtain the T-S fuzzy systems with each local model in the form of time-delay systems with uncertain nonlinear functions. The mismatched nonlinear functions satisfy the Lipschitz condition, while the matched parts are bounded by nonlinear functions with unknown coefficients. Based on the input matrix, the system is decomposed into two cascade subsystems. The virtual controller is designed for the first subsystem, and then, a memoryless adaptive controller is presented. By employing a newLyapunov Krasovskii functional, we show that the resulting closed-loop system is exponentially stable and the solutions are uniformly ultimately bounded. Finally, simulation examples are given to show the effectiveness of our main results.