Model reference switched adaptive control with nonnegative orthant state constraints

Maolong Lv, Wenwu Yu, Simone Baldi, Fan Zhang

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Abstract

This work proposes for the first time a model reference adaptive asymptotic tracking method for a class of uncertain switched linear systems with nonnegative orthant state constraints and dwell time switching. In contrast with the state-of-the-art switched adaptive methods, the main characteristic of this method consists in guaranteeing that the systems states remain in the nonnegative orthant of the state space. To achieve asymptotic tracking, an interpolated Lyapunov function is adopted. To ensure the positivity of the system states, a parameter projection law is needed, because some knowledge of the bounds of the parameter estimates is required to guarantee that the closed-loop system is a switched positive system. A benchmark traffic flow example (a switched positive linear system commonly used in literature) is adopted to verify the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceedings of the 38th Chinese Control Conference (CCC 2019)
EditorsMinyue Fu, Jian Sun
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages633-638
ISBN (Electronic)9789881563972
DOIs
Publication statusPublished - 2019
Event38th Chinese Control Conference, CCC 2019 - Guangzhou, China
Duration: 27 Jul 201930 Jul 2019

Conference

Conference38th Chinese Control Conference, CCC 2019
CountryChina
CityGuangzhou
Period27/07/1930/07/19

Keywords

  • Dwell-time
  • Model reference adaptive control
  • Nonnegative orthant state constraints
  • Switched positive linear systems

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  • Cite this

    Lv, M., Yu, W., Baldi, S., & Zhang, F. (2019). Model reference switched adaptive control with nonnegative orthant state constraints. In M. Fu, & J. Sun (Eds.), Proceedings of the 38th Chinese Control Conference (CCC 2019) (pp. 633-638). IEEE. https://doi.org/10.23919/ChiCC.2019.8866567