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Journal ArticleDOI

Hierarchical Parameter Estimation for the Frequency Response Based on the Dynamical Window Data

TLDR
In this paper, a hierarchical multi-innovation stochastic gradient estimation method is derived through parameter decomposition, and the forgetting factor and the convergence factor are introduced to improve the performance of the algorithm.
Abstract
This paper studies the problem of parameter estimation for frequency response signals For a linear system, the frequency response is a sine signal with the same frequency as the input sine signal When a multi-frequency sine signal is applied to a system, the system response also is a multi-frequency sine signal The signal modeling for multi-frequency sine signals is very difficult due to the highly nonlinear relations between the characteristic parameters and the model output In order to obtain the parameter estimates of the multi-frequency sine signal, the signal modeling methods based on statistical identification are proposed by means of the dynamical window discrete measured data By constructing a criterion function with respect to the model parameters to be estimated, a hierarchical multi-innovation stochastic gradient estimation method is derived through parameter decomposition Moreover, the forgetting factor and the convergence factor are introduced to improve the performance of the algorithm The simulation results show the effectiveness of the proposed methods

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Citations
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Journal ArticleDOI

Control Algorithms of Magnetic Suspension Systems Based on the Improved Double Exponential Reaching Law of Sliding Mode Control

TL;DR: The improved algorithm has better control performances than the traditional SMC and the power reaching law integral SMC algorithm, such as less chattering, smaller overshoots, and faster response speed.
Journal ArticleDOI

State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors

TL;DR: This paper proposes a state filtering method for the single-input–single-output bilinear systems by minimizing the covariance matrix of the state estimation errors by extending the extended Kalman filter algorithm to multiple- input–multiple-output Bilinear Systems.
Journal ArticleDOI

Hierarchical least squares parameter estimation algorithm for two-input Hammerstein finite impulse response systems

TL;DR: The proposed hierarchical least squares algorithm is effective and can generate highly accurate parameter estimates compared with the over-parametrization identification method, and can be easily extended to multi-input multi-output systems.
Journal ArticleDOI

Two-stage Gradient-based Iterative Estimation Methods for Controlled Autoregressive Systems Using the Measurement Data

TL;DR: A two-stage gradient-based iterative algorithm based on the multi-innovation identification theory is derived in order to improve the performance of the tracking the time-varying parameters of controlled autoregressive systems.
Journal ArticleDOI

Partially-coupled least squares based iterative parameter estimation for multi-variable output-error-like autoregressive moving average systems

TL;DR: This study considers the parameter estimation of a multi-variable output-error-like system with autoregressive moving average noise and proposes a least squares-based iterative algorithm by using the iterative search to solve the problem of the information vector containing unknown variables.
References
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Journal ArticleDOI

Parameter estimation with scarce measurements

TL;DR: A gradient-based algorithm is derived to estimate the parameters of the input-output representation with scarce measurements, and the convergence properties of the parameter estimation and unavailable output estimation are established using the Kronecker lemma and the deterministic version of the martingale convergence theorem.
Journal ArticleDOI

A filtering based multi-innovation extended stochastic gradient algorithm for multivariable control systems

TL;DR: A filtering based extended stochastic gradient algorithm and a filtering based multi-innovation ESG algorithm for improving the parameter estimation accuracy for a multivariable system with moving average noise.
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

Lifetime fatigue reliability evaluation of short to medium span bridges under site-specific stochastic truck loading

TL;DR: In this article, a computational framework for probabilistic modeling of the fatigue damage accumulation of short to medium span bridges under actual traffic loading was presented, where stochastic truck-load models were simulated based on site-specific weigh-in-motion measurements.
Journal ArticleDOI

Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration

TL;DR: In this article, a new Newton iterative identification method is presented for estimating the parameters of a second-order dynamic system utilizing the obtained data from the step response, in order to obtain the desired dynamic performance, a controller design method based on the root locus is presented to meet the requirement of the dynamic performance of the overshoot.
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