
Upper bounds on transient response magnitudes for a SISO continuous-time repetitive control system are derived. Limiting the size of these transients is shown to be related to limiting the ∞-norm of a transfer function product of filters used in the repetitive controller. The decay rate of the transients is related to the peak of a function of frequency called the regeneration spectrum, which has previously been shown in the literature to be a measure of the relative stability of the system. Bounds derived here, although conservative, can be useful in the design of the repetitive controller, as illustrated by means of an example.
transient response magnitudes, Discrete-time control/observation systems, periodic disturbances, repetitive control, tracking of periodic reference signals
transient response magnitudes, Discrete-time control/observation systems, periodic disturbances, repetitive control, tracking of periodic reference signals
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