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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Journal ArticleDOI
Improving disturbance-rejection performance in a modified repetitive-control system based on equivalent-input-disturbance approach
TL;DR: A method to actively reject aperiodic disturbances and to suppress uncertainties in a modified repetitive-control (RC) system, based on an equivalent-input-disturbance (EID) approach is presented.
Journal ArticleDOI
Distributed adaptive repetitive consensus control framework for uncertain nonlinear leader–follower multi-agent systems
TL;DR: An adaptive repetitive control framework for uncertain nonlinear multi-agent systems with time-varying parametric uncertainty is proposed and as an extension of the consensus problem, the formation problem is studied.
Patent
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Brief paper: A robust adaptive feedforward control in repetitive control design for linear systems
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TL;DR: A new adaptive feedforward cancellation (AFC) control that achieves periodic tracking and/or periodic disturbance rejection is proposed that can be applied to not only minimum-phase systems, but also non-minimum phase systems.
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Implementation of repetitive controller for rejection of position-based periodic disturbances
TL;DR: In this article, an anti-vibration control system with time-varying periodic disturbances is presented. But the experimental results are given to illustrate that time-changing repetitive control can effectively eliminate steady-state errors within a few cycles.
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All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds†
TL;DR: In this paper, a complete characterization of all rational functions that minimize the Hankel-norm is derived, and the solution to the latter problem is via results on balanced realizations, all-pass functions and the inertia of matrices, all in terms of the solutions to Lyapunov equations.
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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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