Continuous model reference adaptive control with sliding mode for a class of nonlinear plants with unknown state delay

  • Authors:
  • Boris Mirkin;Per-Olof Gutman;Yuri Shtessel

  • Affiliations:
  • Faculty of Civil and Environmental Engineering, Technion-Israel Institute of Technology, Haifa, Israel;Faculty of Civil and Environmental Engineering, Technion-Israel Institute of Technology, Haifa, Israel;Department of Electrical and Computer Engineering, The University of Alabama in Huntsville, Huntsville, Alabama

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

In this paper, we develop a model reference adaptive control (MRAC) scheme with sliding mode for a class of nonlinear dynamic systems with state delay which is robust with respect to an unknown plant delay, to a nonlinear perturbation, and to an external disturbance with unknown bounds. A novel Lyapunov-Krasovskii type functional is introduced to design the adaptive controller with smooth control action, and the stability proof.