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Journal ArticleDOI

Decomposition based fast least squares algorithm for output error systems

Feng Ding
- 01 May 2013 - 
- Vol. 93, Iss: 5, pp 1235-1242
TLDR
An iterative least squares algorithm to estimate the parameters of output error systems is derived and the partitioned matrix inversion lemma is used to implement the proposed algorithm in order to enhance computational efficiencies.
About
This article is published in Signal Processing.The article was published on 2013-05-01. It has received 149 citations till now. The article focuses on the topics: Ramer–Douglas–Peucker algorithm & Non-linear least squares.

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Citations
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Journal ArticleDOI

Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle

TL;DR: The simulation results confirm that the proposed two algorithms can give satisfactory identification accuracies and the least-squares-based iterative algorithm has faster convergence rates than the gradient-basedIterative algorithm.
Journal ArticleDOI

The damping iterative parameter identification method for dynamical systems based on the sine signal measurement

TL;DR: A damping parameter estimation algorithm for dynamical systems based on the sine frequency response is proposed and a damping factor is introduced in the proposed iterative algorithm in order to overcome the singular or ill-conditioned matrix during the iterative process.
Journal ArticleDOI

Coupled-least-squares identification for multivariable systems

TL;DR: In this article, a coupled-least-squares (C-LS) parameter identification algorithm is introduced for the purpose of avoiding the matrix inversion in the multivariable recursive least squares (RLS) algorithm for estimating the parameters of the multiple linear regression models.
Journal ArticleDOI

An efficient hierarchical identification method for general dual-rate sampled-data systems

TL;DR: The proposed D-LS algorithm does not require computing the covariance matrices with large sizes and matrix inverses in each recursion step, and thus has a higher computational efficiency than the RLS algorithm.
Journal ArticleDOI

Combined state and least squares parameter estimation algorithms for dynamic systems

TL;DR: The parameter estimation algorithm of establishing the mathematical models for dynamic systems is discussed and an estimated states based recursive least squares algorithm is presented, and the states of the system are computed through the Kalman filter using the estimated parameters.
References
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Book

Matrix computations

Gene H. Golub
Journal ArticleDOI

Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains

TL;DR: This note investigates the output feedback stabilization of networked control systems (NCSs) through the design of a two-mode-dependent controller that depends on not only the current S-C delay but also the most recent available C-A delay at the controller node.
Journal ArticleDOI

Iterative least-squares solutions of coupled Sylvester matrix equations

TL;DR: A general family of iterative methods to solve linear equations, which includes the well-known Jacobi and Gauss–Seidel iterations as its special cases, are presented and it is proved that the iterative solution consistently converges to the exact solution for any initial value.
Journal ArticleDOI

On Iterative Solutions of General Coupled Matrix Equations

TL;DR: This paper extends the well-known Jacobi and Gauss--Seidel iterations and presents a large family of iterative methods, which are then applied to develop iterative solutions to coupled Sylvester matrix equations and proves that the iterative algorithm always converges to the (unique) solutions for any initial values.
Journal ArticleDOI

Identification methods for Hammerstein nonlinear systems

TL;DR: A Newton recursive and a Newton iterative identification algorithms are derived by using the Newton method (Newton-Raphson method) to reduce the sensitivity of the projection algorithm to noise, and to improve convergence rates of the SG algorithm.
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