Analysis and synthesis of discrete-time repetitive controllers. (English) Zbl 0696.93028

Summary: Repetitive control is formulated and analyzed in the discrete-time domain. Sufficiency conditions for the asymptotic convergence of a class of repetitive controllers are given. The “plug-in” repetitive controller is introduced and applied to track-following in a disk-file actuator system. Inter-sample ripples in the tracking error were present when the “plug-in” repetitive controller was installed. The performance is enhanced, however, when the zero-holding device is followed by a low- pass filter or replaced by a delayed first-order hold.


93B50 Synthesis problems
93D15 Stabilization of systems by feedback
93C55 Discrete-time control/observation systems
93D20 Asymptotic stability in control theory
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