Advertisement

Delay-Dependent Stability of a Class of Nonlinear Systems with Time Delays Based on Fuzzy Hyperbolic Model

  • Huaguang Zhang
  • Jun Yang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

This paper concerns a problem of delay-dependent stability of a class of nonlinear continuous-time systems with time delays, based on the fuzzy hyperbolic model (FHM). FHM is a universal approximator, and can be used to establish the model for unknown complex systems. Moreover, the main advantage of using FHM over T-S fuzzy model is that no premise structure identification is need and no completeness design of premise variables space is need. Also an FHM is a kind of valid global description and nonlinear model inherently. The proposed method is addressed by solving a set of linear matrix inequalities (LMIs). A general Lyapunov-Krasovskii functional are used and some additional free-weighting matrices, which bring much flexibility in solving LMIs, are introduced during the proof. The results then have easily been extended to a system with either polytopic-type or norm-bounded uncertainties. A simulation example is given to validate the proposed results.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Huaguang Zhang
    • 1
  • Jun Yang
    • 1
  1. 1.School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004China

Personalised recommendations