Differential linear repetitive processes are a distinct sub-class of 2D continuous-discrete linear systems which pose problems that cannot (except in a few very restrictive special cases) be solved by the direct appli...
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ISBN:
(纸本)0780370619
Differential linear repetitive processes are a distinct sub-class of 2D continuous-discrete linear systems which pose problems that cannot (except in a few very restrictive special cases) be solved by the direct application of standard (1D) systems theory and hence by the direct use of a large number of currently-available tools for computer-aided analysis/design. One such area is the construction of discrete approximations to their dynamics. In this paper, we investigate some problems which arise during the discretization of differential linear repetitive processes and develop solutions to them.
We consider the iterative learning control problem from a 2D systems/adaptive control viewpoint. In particular, it is shown how some fundamental results from nonlinear adaptive control can be successfully applied in t...
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ISBN:
(纸本)0780366859
We consider the iterative learning control problem from a 2D systems/adaptive control viewpoint. In particular, it is shown how some fundamental results from nonlinear adaptive control can be successfully applied in the iterative learning control domain under very weak assumptions. Some areas for further research are also briefly discussed.
We propose efficient semidefinite programming methods for designing signal-adapted compaction filters with: (i) spectral mask, and (ii) regularity constraints. In both cases, the initial problem, formulated with the K...
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ISBN:
(纸本)9539676940
We propose efficient semidefinite programming methods for designing signal-adapted compaction filters with: (i) spectral mask, and (ii) regularity constraints. In both cases, the initial problem, formulated with the Kalman-Yakubovich-Popov lemma, is transformed by simplifying its dual and the result is an SDP problem with Toeplitz matrices and small number of variables. All resulting methods, which may be gathered in a single unifying formulation, always give the optimal filter. We present experimental evidence showing convenient execution times and good numerical accuracy.
A causal iterative learning control algorithm based on optimal feedback and feedforward control is derived to provide perfect tracking of selected output values at specified times. Exponential convergence of the algor...
A causal iterative learning control algorithm based on optimal feedback and feedforward control is derived to provide perfect tracking of selected output values at specified times. Exponential convergence of the algorithm is proved and a realization based on Riccati feedback is described. The properties of the algorithm are illustrated by example.
In this paper, we first identify the potential violations of control assumptions inherent in standard real-time scheduling approaches (because of the presence of jitters) that causes, degradation in control performanc...
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ISBN:
(纸本)0769514200
In this paper, we first identify the potential violations of control assumptions inherent in standard real-time scheduling approaches (because of the presence of jitters) that causes, degradation in control performance and may even lead to instability. We then develop practical approaches founded on control theory to deal with these violations. Our approach is based on the notion of compensations wherein controller parameters are adjusted at runtime for the presence of jitters. Through time and memory overhead analysis, and by elaborating on the implementation details, we characterize when offline and on-line compensations are feasible. Our experimental results confirm that our approach does compensate for the degraded control performance when EDF and FPS algorithms are used for scheduling the control tasks. Our compensation approach provides us another advantage that leads to better schedulability of control tasks. This derives from the potential to derive more flexible timing constraints, beyond periods and deadlines necessary to apply EDF and FPS. Overall, our approach provides guarantees offline that the control system will be stable at runtime-if temporal requirements are met at runtime-even when actual execution patterns are not known beforehand. With our approach, we can address the problems due to (a) sampling jitters, (b) varying delays between sampling and actuation, or (c) both-not addressable using traditional EDF and FPS based scheduling, or by previous real-time and control integration approaches.
When system parameters vary rapidly with time the weighted least squares filters are not capable of following the changes satisfactorily - some more elaborate estimation schemes, based on the method of basis functions...
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When system parameters vary rapidly with time the weighted least squares filters are not capable of following the changes satisfactorily - some more elaborate estimation schemes, based on the method of basis functions, have to be used instead. The basis function estimators have increased tracking capabilities but are computationally very demanding. The paper introduces a new class of adaptive filters, based on the concept of post filtering, which have improved parameter tracking capabilities, typical of the basis function algorithms, but at the same time, have rather low computational requirements, typical of the weighted least squares algorithms.
Recent years has seen much progress in the theory and application of iterative learning control schemes for both linear and (classes of) nonlinear dynamics. In the case of the former, many algorithms based on minimizi...
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Recent years has seen much progress in the theory and application of iterative learning control schemes for both linear and (classes of) nonlinear dynamics. In the case of the former, many algorithms based on minimizing a suitable cost function have been reported. Here the interest is in the so-called norm optimal approach where the basic philosophy is to compute the control input on the current trial such that the tracking error is reduced in an optimal way without too much deviation from the control input used on the previous trial. This paper compares the performance of a range of controllers arising from use of the norm optimal approach - both stand alone and against alternatives.
Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite dur...
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Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the process evolves. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a `mature' systems theory for these processes for onward translation into reliable generally applicable controller design algorithms. It has long been considered that Volterra operator techniques should have a key role to play in this general area. In this paper, we first present the necessary properties of a Volterra operator representation for the very important sub-class of so-called discrete linear repetitive processes and then use them to develop a characterization of stability in this setting.
Analysis of complex systems such as hierarchically structured network systems that are employed in modelling and analysis various aspects and issues of control and management in telecommunications is investigated. The...
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Repetitive processes are a distinct class of 2D systems of both theoretical and applications interest. They are characterized by a series of sweeps through a set of dynamics with explicit interaction between the outpu...
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Repetitive processes are a distinct class of 2D systems of both theoretical and applications interest. They are characterized by a series of sweeps through a set of dynamics with explicit interaction between the outputs, or pass profiles, produced on successive passes. Their essential unique features are that (i) information propagation is over a finite duration in one of the two separate directions of information propagation; and (ii) the explicit interaction between successive pass profiles can lead to oscillations in the sequence of pass profiles that increase in amplitude in the pass to pass direction. In the case of processes with linear dynamics (either differential or discrete) a reasonably rich systems theory is available for models which are standard (or nonsingular). In this paper, we provide the first substantial results on discrete linear repetitive processes described by a singular state space model.
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