This paper investigates the problem of designing a robust H ∞ repetitive control system with periodic time-delay. Firstly, a continuous-discrete two-dimensional (2D) model with time-delay is constructed to describe the control and learning actions of the system. Then, by choosing an appropriate Lyapunov functional, LMI-based sufficient stability conditions for asymptotic stability and satisfactory H∞ tracking performance of the 2D model is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. © 2014 IEEE.
Design of a robust H∞ repetitive control system with time-delay
KARIMI, HAMID REZA
2014-01-01
Abstract
This paper investigates the problem of designing a robust H ∞ repetitive control system with periodic time-delay. Firstly, a continuous-discrete two-dimensional (2D) model with time-delay is constructed to describe the control and learning actions of the system. Then, by choosing an appropriate Lyapunov functional, LMI-based sufficient stability conditions for asymptotic stability and satisfactory H∞ tracking performance of the 2D model is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. © 2014 IEEE.File in questo prodotto:
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