Tracking of Periodic Trajectories for Switched Systems Under Time-Varying Asynchronous Switching Academic Article uri icon

abstract

  • © 2019 ASME. All Rights Reserved. In this technical brief, we provide an asynchronous modified repetitive controller design to address the periodic trajectory tracking problem for switched systems with time-varying switching delays between plant modes and controllers. In the feedback channel, a dynamic output feedback mechanism is adopted. By utilizing the lifting technique, the dynamic output feedback-based switched repetitive control system is transformed into a continuous-discrete two-dimensional (2D) model to differentiate the control and learning actions involved in the repetitive controller. For the transformed 2D model, by constructing a piecewise Lyapunov functional and utilizing a matrix decomposition approach, sufficient conditions in terms of linear matrix inequalities (LMIs) and the average dwell time are developed to guarantee closed-loop exponential stability. The performance of the proposed approach is illustrated via a switched RLC series circuit example and numerical simulations are provided.

author list (cited authors)

  • Ma, G., Liu, X., Pagilla, P. R., & Ge, S. S.

citation count

  • 2

publication date

  • August 2019