This paper addresses robust adaptive stabilization of uncertain switched time-delay systems with unknown disturbances in a high-order form. In addition to parametric uncertainty, an extra source of uncertainty arises from having time-varying delays. In particular, the upper bound of the changing rate of the delay is assumed to be unknown. To this purpose, a new reparametrization method is proposed, which incorporates both sources of uncertainty in a single scalar parameter. Therefore, a single scalar adaptive law is designed for parametric uncertainties and time-varying delays, which is combined with a new dynamic gain embedded in the control action. The new dynamic gain is designed to dominate the nonlinear effects caused by both the parametric uncertainty and the unknown variation of the time delay. The proposed design guarantees global asymptotic stability for arbitrary switching. A numerical example illustrates the effectiveness of the method.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Systems, Man, and Cybernetics (SMC 2018)
Place of PublicationPiscataway, NJ, USA
ISBN (Electronic)9781538666500
Publication statusPublished - 2018
Event2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018 - Miyazaki, Japan
Duration: 7 Oct 201810 Oct 2018


Conference2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018

    Research areas

  • Adaptive control, high order nonlinear systems, nonlinearly parametrized systems, unknown time varying delay

ID: 52025739