Multi-Periodic Repetitive Control System: A Lyapunov Stability Analysis for MIMO Systems
Owens, D.H., Li, L.M. and Banks, S.P.
(2003)
Multi-Periodic Repetitive Control System: A Lyapunov Stability Analysis for MIMO Systems.
Research Report.
ACSE Research Report 843
.
Department of Automatic Control and Systems Engineering
Abstract
A multi-input/output (MIMO) repetitive control problem of tracking and disturbance rejection is considered when both reference and disturbance signals are finite linear combinations of periodic but not necessarily sinusoidal signals. Lyapunov stability analyses under a positive real condition (and a natural relaxation) and exponential stability under a strict positive real condition are provided together with bounds on the induced L2 and RMS gains of the closed loop system. It is shown that similar Lyapunov stability results apply when the plant is a positive real state-delay system. Extension of the analyses to a class of nonlinear systems is discussed and indicates a good degree of robustness in the design.
Metadata
Item Type:
Monograph
Authors/Creators:
Owens, D.H.
Li, L.M.
Banks, S.P.
Copyright, Publisher and Additional Information:
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