Repetitive control system: a new type servo system for periodic exogenous signals
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In this article, a control scheme called repetitive control is proposed, in which the controlled variables follow periodic reference commands, and a high-accuracy asymptotic tracking property is achieved by implementing a model that generates the periodic signals of period L into the closed-loop system.Abstract:
A control scheme called repetitive control is proposed, in which the controlled variables follow periodic reference commands. A high-accuracy asymptotic tracking property is achieved by implementing a model that generates the periodic signals of period L into the closed-loop system. Sufficient conditions for the stability of repetitive control systems and modified repetitive control systems are derived by applying the small-gain theorem and the stability theorem for time-lag systems. Synthesis algorithms are presented by both the state-space approach and the factorization approach. In the former approach, the technique of the Kalman filter and perfect regulation is utilized, while coprime factorization over the matrix ring of proper stable rational functions and the solution of the Hankel norm approximation are used in the latter one. >read more
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Proceedings ArticleDOI
Finite dimensional robust repetitive controller for tracking periodic reference input
TL;DR: The presented work demonstrates in steps the way of development and deployment of Finite Dimensional Robust Repetitive Controller (FDRRC) starting from the conventional RepetitiveController (RC) and to deal with small period uncertainties, an attempt is taken to explore the design and implementation of multiple loops Robust repetitive controller (RRC).
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Voltage unbalance and harmonics compensation in AC microgrid using add-on repetitive controller
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A repetitive control approach for three-phase shunt active power filters with real-time wavelet transform
TL;DR: In this article, a real-time delayless digital filter based on wavelet transform was used to control the active power filter (APF) to achieve accurate current tracking in a dc-capacitor.
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Internal Models in Control, Bioengineering, and Neuroscience
TL;DR: In this article , the internal model principle in control theory, bioengineering, and neuroscience is reviewed, illustrating the fundamental concepts and theoretical developments of the few last decades of research, and the internal models are used to describe how living organisms or artificial computational units embed their acquired knowledge about recurring events in the surrounding environment.
References
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All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds†
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The internal model principle for linear multivariable regulators
Bruce A. Francis,W. M. Wonham +1 more
TL;DR: In this paper, structural stability of linear multivariable regulators is defined and necessary and sufficient structural criteria are obtained for linear multi-variable regulators which retain loop stability and output regulation in the presence of small perturbations, of specified types, in system parameters.
Journal ArticleDOI
High Accuracy Control of a Proton Synchrotron Magnet Power Supply
TL;DR: In this article, a linear feedback control is applied in high accuracy tracking of a periodic reference input by locating the imaginary poles of the controller's transfer function to suit the period of the input.
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