Repetitive Control of Discrete-Time Markov Jump Linear Systems Conference Paper uri icon

abstract

  • © 2018 AACC. In this paper a mode-dependent repetitive controller design for discrete-time Markov Jump Linear Systems (MJLS) is proposed for tracking a periodic reference signal. By employing ideas from the lifting technique, the discrete-time MJLS and the repetitive controller structure are transformed into a stochastic two-dimensional model that differentiates the control and learning actions involved in the repetitive controller structure. For this transformed model, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilizing tools from stochastic systems theory and Lyapunov techniques. Results from numerical simulations on a stochastic switching tunnel diode circuit are presented to corroborate the proposed method.

author list (cited authors)

  • Ma, G., Liu, X., & Pagilla, P. R.

citation count

  • 4

publication date

  • June 2018

publisher