Adaptive prescribed performance control of nonlinear systems with unknown dead zone

Jing Na*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

84 Citations (Scopus)

Abstract

An alternative adaptive control with prescribed performance is proposed to address the output tracking of nonlinear systems with a nonlinear dead zone input. An appropriate function that characterizes the convergence rate, maximum overshoot, and steady-state error is adopted and incorporated into an output error transformation, and thus the stabilization of the transformed system is sufficient to achieve original tracking control with prescribed performance. The nonlinear dead zone is represented as a time-varying system and Nussbaum-type functions are utilized to deal with the unknown control gain dynamics. A novel high-order neural network with a scalar adaptive weight is developed to approximate unknown nonlinearities, thus the computational costs can be diminished dramatically. Some restrictive assumptions on the system dynamics and the dead-zone are circumvented. Simulations are included to validate the effectiveness of the proposed scheme.

Original languageEnglish
Pages (from-to)426-446
Number of pages21
JournalInternational Journal of Adaptive Control and Signal Processing
Volume27
Issue number5
DOIs
Publication statusPublished - 1 May 2013

Keywords

  • adaptive control
  • dead zone
  • neural network
  • nonlinear system
  • prescribed performance

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