ILF for Adaptive Control

  • Shuzhi S. Ge
  • Chang C. Hang
  • Tong H. Lee
  • Tao Zhang
Chapter
Part of the The Springer International Series on Asian Studies in Computer and Information Science book series (ASIS, volume 13)

Abstract

In nonlinear control design, Lyapunov stability techniques play an important role in constructing controllers and performing the closed-loop stability analysis. Nevertheless, for a given nonlinear system, there is in general no systematic procedure for choosing a suitable Lyapunov function to guarantee the system stability. Different choices of Lyapunov functions may result in different control structures and control performance. Past experience shows that a good design of Lyapunov function should fully utilize the property of the studied systems. Adaptive control of nonlinear systems has been an active research area and many good theoretical results have been obtained in the literature [87,91,104,128,165] and the references therein. In this chapter, a novel kind of Lyapunov functions is developed for achieving globally stable nonlinear adaptive control.

Keywords

Lyapunov Function Adaptive Control Tracking Error Adaptive Controller Positive Definite Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Shuzhi S. Ge
    • 1
  • Chang C. Hang
    • 1
  • Tong H. Lee
    • 1
  • Tao Zhang
    • 1
  1. 1.Department of Electrical & Computer EngineeringThe National University of SingaporeSingapore

Personalised recommendations