Adaptive tracking of uncertain nonlinear systems under different types of input delays with urban traffic perimeter control application

Jack Haddad, Boris Mirkin

Research output: Contribution to journalArticlepeer-review

Abstract

Pragmatic design method of direct model reference adaptive control (MRAC) is developed for a class of uncertain systems, where various input channels might have different delays and taking into account the effect of control saturation. To overcome the difficulty of directly predict the plant state and cope with different kinds of input delays, the proposed control design relies on implicit time-delay prediction by using auxiliary linear Smith-like dynamic units with adjustable gains. The design is unified to different time delay categories, that is, constant, time-varying, or dependent on the current plant state. Within the context of the proposed approach, various adaptive control feedback strategies are designed for problems of continuous and sample-and-hold control implementations. Simulation results of a perimeter control for two interacting aggregate urban traffic regions are presented.

Original languageEnglish
Pages (from-to)6975-6990
Number of pages16
JournalInternational Journal of Robust and Nonlinear Control
Volume31
Issue number15
DOIs
StatePublished - Oct 2021

Keywords

  • adaptation
  • feedback traffic control
  • input delays
  • macroscopic fundamental diagram

All Science Journal Classification (ASJC) codes

  • General Chemical Engineering
  • Mechanical Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Biomedical Engineering

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