Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching


Taghieh A., Hashemzadeh F., Shafiei M. H.

28th Iranian Conference on Electrical Engineering, ICEE 2020, Tabriz, Iran, 4 - 06 August 2020 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/icee50131.2020.9261019
  • City: Tabriz
  • Country: Iran
  • Keywords: Asynchronous switching, Continuous-time switched nonlinear systems, Model uncertainties, Stabilization, Time-varying delay
  • Istanbul Technical University Affiliated: No

Abstract

This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties. A numerical example is allocated to validate the efficacy of the proposed strategy,