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
Citations
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TL;DR: The problem of output tracking and disturbance rejection for infinite-dimensional discrete-time systems is studied and a design method of finite-dimensional controllers is proposed by using a solution of the Nevanlinna–Pick interpolation problem with both interior and boundary conditions.
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Voltage control of grid-connected inverters based on H ∞ and repetitive control
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TL;DR: In this article, a voltage controller for grid-connected inverters based on H∞ and repetitive control techniques is proposed and implemented for voltage tracking, where a frequency adaptive mechanism is introduced to improve system performance and to cope with grid frequency variations.
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TL;DR: In this paper, the authors propose a novel architecture of integral sliding mode control, in which a special "ideal control" part is introduced, incorporating a fairly general form of internal model to deal with regular (i.e., modeled) persistent disturbances.
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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.
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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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