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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Tracking position control of piezoelectric actuators for periodic reference inputs
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Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity
TL;DR: In this article, the problem of absolute stability and robust stability of a class of neutral systems with sector-bounded nonlinearity and mixed time-varying delays is addressed.
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Observer based learning control for a class of nonlinear systems with time-varying parametric uncertainties
Jian-Xin Xu,Jing Xu +1 more
TL;DR: A new learning control approach, combined with state estimation, is developed to perform output tracking problems where the state information is not available, and the Lyapunov-like energy function is employed, which allows the incorporation of any available system knowledge.
Journal ArticleDOI
Analog Circuits to Implement Repetitive Controllers With Feedforward for Harmonic Compensation
TL;DR: It was shown that repetitive controllers can be a useful tool for tracking of periodic reference signals and compensation of periodic disturbances, in other words, for harmonic compensation.
Book ChapterDOI
Repetitive Control Systems: Old and New Ideas
TL;DR: This paper examines the problem of trying to track a periodic signal with the output of a plant, or to try to reject a periodic disturbance acting on a control system, and indicates a way of generalizing these ideas to cope with superpositions of periodic signals of arbitrary periods.
References
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Journal ArticleDOI
Bettering Operation of Robots by Learning
TL;DR: A betterment process for the operation of a mechanical robot in a sense that it betters the nextoperation of a robot by using the previous operation's data is proposed.
Journal ArticleDOI
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.
Journal ArticleDOI
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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