Robust repetitive control of semi-Markovian jump systems Academic Article uri icon


  • 2018, 2018 Informa UK Limited, trading as Taylor & Francis Group. This paper considers the periodic reference tracking problem for continuous-time semi-Markovian jump systems. An observer-based robust H modified repetitive controller with logarithmically quantised output measurements is proposed. By using a lifting technique, the semi-Markovian jump system and the modified repetitive controller structure are transformed into a stochastic two-dimensional (2D) model to differentiate the control and learning actions involved in the repetitive controller structure. For the transformed 2D model, first, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilising tools from stochastic systems theory and multiple Lyapunov functional technique. Subsequently, a robust modified repetitive controller is synthesised to ensure a prescribed H attenuation performance in the presence of a bounded exogenous disturbance input. A numerical example on a switched boost converter circuit is considered and simulation results are provided to evaluate the proposed control strategy.

published proceedings


author list (cited authors)

  • Ma, G., Liu, X., & Pagilla, P. R.

citation count

  • 10

complete list of authors

  • Ma, Guoqi||Liu, Xinghua||Pagilla, Prabhakar R

publication date

  • January 2019