Journal ArticleDOI
Maximum Likelihood Least Squares Based Iterative Estimation for a Class of Bilinear Systems Using the Data Filtering Technique
Meihang Li,Ximei Liu +1 more
TLDR
In this paper, a filtering based maximum likelihood iterative least squares algorithm is proposed for identifying the parameters of bilinear systems with colored noises by filtering the input-output data with a filter.Abstract:
Maximum likelihood methods are based on the probability and statistics theory, and significant for parameter estimation and system modeling. This paper combines the maximum likelihood principle with the data filtering technique for parameter estimation of a class of bilinear systems. The input-output representation of a bilinear system is derived through eliminating the state variables in the model. Then, a filtering based maximum likelihood iterative least squares algorithm is proposed for identifying the parameters of bilinear systems with colored noises by filtering the input-output data with a filter. A least squares based iterative algorithm is given for comparison. The simulation results indicate that the proposed algorithm is effective for identifying bilinear systems. The filtering based maximum likelihood iterative least squares algorithm is more accurate under different noise variance, and has higher computational efficiency.read more
Citations
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Journal ArticleDOI
Auxiliary model multiinnovation stochastic gradient parameter estimation methods for nonlinear sandwich systems
Ling Xu,Feng Ding,Erfu Yang +2 more
TL;DR: An auxiliary model multiinnovation stochastic gradient estimation method is developed, which tends to enhance estimation accuracy by introducing more observed data dynamically.
Journal ArticleDOI
Maximum likelihood hierarchical least squares‐based iterative identification for dual‐rate stochastic systems
Meihang Li,Ximei Liu +1 more
TL;DR: The simulation results indicate that the proposed algorithms are effective for identifying dual‐rate sampled‐data stochastic systems and the H‐ML‐LSI algorithm has a higher computation efficiency than the ML‐ LSI algorithm.
Journal ArticleDOI
Recursive coupled projection algorithms for multivariable output-error-like systems with coloured noises
TL;DR: This study develops a partially coupled generalised extended projection algorithm and a partially coupling generalisation extended stochastic gradient algorithm to estimate the parameters of a multivariable output-error-like system with autoregressive moving average noise from input–output data.
Journal ArticleDOI
Modeling Nonlinear Processes Using the Radial Basis Function-Based State-Dependent Autoregressive Models
Yihong Zhou,Feng Ding +1 more
TL;DR: Applying the hierarchical identification principle and the multi-innovation theory, two interactive algorithms are proposed for the RBF-AR models and an approach based on data weighting is proposed to overcome the data saturation in the algorithms.
Journal ArticleDOI
Three-stage forgetting factor stochastic gradient parameter estimation methods for a class of nonlinear systems
TL;DR: The forgetting factor stochastic gradient estimation method is developed by using the gradient search and introducing the forgetting factor to investigate new estimation methods for on‐line parameter estimation of the considered system.
References
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Journal ArticleDOI
SOFMLS: Online Self-Organizing Fuzzy Modified Least-Squares Network
TL;DR: A new network is proposed, in which unidimensional membership functions are used, and only two parameters for each rule are employed, thus reducing the number of parameters.
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
Control Algorithms of Magnetic Suspension Systems Based on the Improved Double Exponential Reaching Law of Sliding Mode Control
Jian Pan,Wei Li,Haipeng Zhang +2 more
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.
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