Generalized Variable Step-Size Diffusion Continuous Mixed p-Norm Algorithm

Shi, Long; Zhao, Haiquan

doi:10.1007/s00034-020-01640-2

Cited by 4 publications

(3 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Zayyani proposed a mixed-norm adaptive filter algorithm for systems identification based on minimization of the logarithmic continuous mixed p-norm [31]. Moreover, an improved mixed p-norm algorithm had been studied to combat non-Gaussian interference and its computational complexity as well as the mean convergence had also been analyzed [32,33].…”

Section: Introductionmentioning

confidence: 99%

State Estimation Moving Window Gradient Iterative Algorithm for Bilinear Systems Using the Continuous Mixed p-norm Technique

Li¹,

Ma²,

Xiong³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

This paper studies the parameter estimation problems of the nonlinear systems described by the bilinear state space models in the presence of disturbances. A bilinear state observer is designed for deriving identification algorithms to estimate the state variables using the input-output data. Based on the bilinear state observer, a novel gradient iterative algorithm is derived for estimating the parameters of the bilinear systems by means of the continuous mixed p-norm cost function. The gain at each iterative step adapts to the data quality so that the algorithm has good robustness to the noise disturbance. Furthermore, to improve the performance of the proposed algorithm, a dynamic moving window is designed which can update the dynamical data by removing the oldest data and adding the newest measurement data. A numerical example of identification of bilinear systems is presented to validate the theoretical analysis.

show abstract

Section: Introductionmentioning

confidence: 99%

State Estimation Moving Window Gradient Iterative Algorithm for Bilinear Systems Using the Continuous Mixed p-norm Technique

Li¹,

Ma²,

Xiong³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…39 Recently, an improved generalized mixed p-norm algorithm has been studied to combat the impulsive noise by designing a linear function in the probability density-like function. 40 On the basis of the state observer, we study the parameter estimation algorithm for a bilinear system with impulsive noise in this article. The impulsive noise can be better modeled with the 𝛼-stable distribution therein, which exhibits sharp spikes or occasional bursts in their realizations.…”

Section: Introductionmentioning

confidence: 99%

“…Zahra et al developed a variable step size mixed‐norm algorithm for sparse and block‐sparse systems by combining various

p

‐norms 39 . Recently, an improved generalized mixed

p

‐norm algorithm has been studied to combat the impulsive noise by designing a linear function in the probability density‐like function 40 …”

Section: Introductionmentioning

confidence: 99%

Generalized continuous mixed p‐norm based sliding window algorithm for a bilinear system with impulsive noise

Liu

Xiong

2022

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article investigates the identification issue of the bilinear system in the presence of the impulsive noise. The bilinear system based on the observer canonical form is translated into a regressive form, and a bilinear state observer is established to estimate the state variables. To overcome the effects of the impulsive noise to parameter estimation, the proposed algorithms employ a generalized continuous mixed p$$ p $$‐norm cost function, which can generate an adjustable gain that control the proportions of the error norms without resorting to a priori knowledge of the noise. Moreover, a sliding window is designed to update the dynamical data by removing the oldest data and adding the newest measurement data. An numerical example exhibits that the proposed algorithms can reduce the impact of the impulsive noise to parameter estimation and improve the parameter estimation accuracy compared with the conventional algorithms.

show abstract

An adaptive fuzzy logic control technique for LVRT enhancement of a grid-integrated DFIG-based wind energy conversion system

Chakraborty

Maity

2023

ISA Transactions

View full text Add to dashboard Cite

Generalized Variable Step-Size Diffusion Continuous Mixed p-Norm Algorithm

Cited by 4 publications

References 30 publications

State Estimation Moving Window Gradient Iterative Algorithm for Bilinear Systems Using the Continuous Mixed p-norm Technique

State Estimation Moving Window Gradient Iterative Algorithm for Bilinear Systems Using the Continuous Mixed p-norm Technique

Generalized continuous mixed p‐norm based sliding window algorithm for a bilinear system with impulsive noise

An adaptive fuzzy logic control technique for LVRT enhancement of a grid-integrated DFIG-based wind energy conversion system

Contact Info

Product

Resources

About