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This paper addresses the problem of repetitive control for systems in which the reference input is a periodic signal, with known a period. The sliding mode repetitive controller based on switching-function dynamics is designed to eliminate the disturbances with the same period. In exponential reaching law, the sign function is replaced with power item to decrease chattering and a measure of disturbance-rejection...
This paper presents a finite-time control strategy for uncertain systems with unknown time-invariant parameters. The finite-time adaptive robust controller is designed via Lyapunov approach, where projection-type integral and incremental adaptation laws are applied in estimation of the time-invariant parametric uncertainties, respectively. The terminal attractor is suggested in the adaptive robust...
This paper presents a Lyapunov-based design of repetitive learning controllers for uncertain systems. The controller design is unified due to the use of the parametrization and norm-bounding technique, and the novelty lies in the less requirement for the knowledge about the system undertaken. In addition, this design can handle fractional uncertainties involved in the dynamics effectively. The estimation...
This paper presents a piecewise-reaching variable structure repetitive control method for uncertain discrete-time linear system. As for the reaching law approach, one needs to modify the original reaching law, as the resultant error dynamics depend on the system uncertainties, By embedding the performance measure of uncertainty rejection into the reaching law to form the ideal switching dynamics,...
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