Journal ArticleDOI
Control oriented system identification: a worst-case/deterministic approach in H/sub infinity /
TLDR
The authors formulate and solve two related control-oriented system identification problems for stable linear shift-invariant distributed parameter plants, each involving identification of a point sample of the plant frequency response from a noisy, finite, output time series obtained in response to an applied sinusoidal input.Abstract:
The authors formulate and solve two related control-oriented system identification problems for stable linear shift-invariant distributed parameter plants In each of these problems the assumed a priori information is minimal, consisting only of a lower bound on the relative stability of the plant, an upper bound on a certain gain associated with the plant, and an upper bound on the noise level The first of these problems involves identification of a point sample of the plant frequency response from a noisy, finite, output time series obtained in response to an applied sinusoidal input with frequency corresponding to the frequency point of interest This problem leads naturally to the second problem, which involves identification of the plant transfer function in H/sub infinity / from a finite number of noisy point samples of the plant frequency response Concrete plans for identification algorithms are provided for each of these two problems >read more
Citations
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Journal ArticleDOI
Subspace-based multivariable system identification from frequency response data
TL;DR: Two noniterative subspace-based algorithms which identify linear, time-invariant MIMO (multi-input/multioutput) systems from frequency response data are presented.
Journal ArticleDOI
On the Sample Complexity of the Linear Quadratic Regulator
TL;DR: This paper proposes a multi-stage procedure that estimates a model from a few experimental trials, estimates the error in that model with respect to the truth, and then designs a controller using both the model and uncertainty estimate, and provides end-to-end bounds on the relative error in control cost.
Journal ArticleDOI
Identification and control—closed-loop issues
TL;DR: An overview is given of some current research activities on the design of high-performance controllers for plants with uncertain dynamics, based on approximate identification and model-based control design, in dealing with the interplay between system identification and robust control design.
Journal ArticleDOI
A time-domain approach to model validation
TL;DR: This work uses time-domain input-output data to validate uncertainty models and develops algorithms that are computationally tractable and reduce to (generally nondifferentiable) convex feasibility problems or to linear programming problems.
Journal ArticleDOI
Model validation: a connection between robust control and identification
Roy S. Smith,John Doyle +1 more
TL;DR: The model validation problem addressed is: given experimental data and a model with both additive noise and norm-bounded perturbations, is it possible that the model could produce the observed input-output data?
References
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Book
Spline Functions: Basic Theory
TL;DR: The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences.
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TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
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Analytic properties of schmidt pairs for a hankel operator and the generalized schur-takagi problem
V M Adamjan,D. Z. Arov,M G Kreĭn +2 more
TL;DR: In this paper, a study of infinite Hankel matrices and approximation problems connected with them is presented, with a focus on the problem of finding the optimal solution to a given problem.
Journal ArticleDOI
From time series to linear system-part I. Finite dimensional linear time invariant systems
TL;DR: The structural indices of such systems are introduced and it is shown how an (AR) representation of a system having a given behaviour can be constructed.