Instrumental variable-based OMP identification algorithm for Hammerstein systems
type: Item
instance of: scholarly article
title: Instrumental variable-based OMP identification algorithm for Hammerstein systems
zbMATH Open document ID: 1398.93352
DOI: 10.1155/2018/8420426
author: Shuo Zhang
author: Yaru Yan
author: Dong-Qing Wang
published in: Complexity
publication date: 2018-08-08T00:00:00Z
review text: Summary: Hammerstein systems are formed by a static nonlinear block followed by a dynamic linear block. To solve the parameterizing difficulty caused by parameter coupling between the nonlinear part and the linear part in a Hammerstein system, an instrumental variable method is studied to parameterize the Hammerstein system. To achieve in simultaneously identifying parameters and orders of the Hammerstein system and to promote the computational efficiency of the identification algorithm, a sparsity-seeking orthogonal matching pursuit (OMP) optimization method of compressive sensing is extended to identify parameters and orders of the Hammerstein system. The idea is, by the filtering technique and the instrumental variable method, to transform the Hammerstein system into a simple form with a separated nonlinear expression and to parameterize the system into an autoregressive model, then to perform an instrumental variable-based orthogonal matching pursuit (IV-OMP) identification method for the Hammerstein system. Simulation results illustrate that the investigated method is effective and has advantages of simplicity and efficiency.
Mathematics Subject Classification ID: 93E12
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6914665
describes a project that uses: WH-EA
describes a project that uses: PDCO
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8420426
OpenAlex ID: W2883710527
cites work: Generalized exponential autoregressive models for nonlinear time series: stationarity, estimation and applications
cites work: Robust adaptive estimation of nonlinear system with time‐varying parameters
cites work: Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems
cites work: WH-EA: an evolutionary algorithm for Wiener-Hammerstein system identification
cites work: Robust adaptive parameter estimation of sinusoidal signals
cites work: A recursive parametric estimation algorithm of multivariable nonlinear systems described by Hammerstein mathematical models
cites work: Recursive least squares algorithm for nonlinear dual-rate systems using missing-output estimation model
cites work: Recursive identification of Hammerstein systems with dead-zone nonlinearity in the presence of bounded noise
cites work: Convergence analysis for recursive Hammerstein identification
cites work: Convergence of the iterative algorithm for a general Hammerstein system identification
cites work: Iterative identification of block-oriented nonlinear systems based on biconvex optimization
cites work: Identification of nonlinear cascade systems with output hysteresis based on the key term separation principle
cites work: Hierarchical recursive least squares algorithm for Hammerstein systems using the filtering method
cites work: Hierarchical parameter estimation for a class of MIMO Hammerstein systems based on the reframed models
cites work: Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
cites work: Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle
cites work: Parameter estimation algorithms for Hammerstein output error systems using Levenberg-Marquardt optimization method with varying interval measurements
cites work: Recursive maximum likelihood method for the identification of Hammerstein ARMAX system
cites work: Gradient iterative algorithm for dual-rate nonlinear systems based on a novel particle filter
cites work: Computational system identification of continuous-time nonlinear systems using approximate Bayesian computation
cites work: Model recovery for Hammerstein systems using the auxiliary model based orthogonal matching pursuit method
cites work: Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
cites work: Compressed Sensing and Redundant Dictionaries
cites work: Model recovery for Hammerstein systems using the hierarchical orthogonal matching pursuit method
cites work: Atomic Decomposition by Basis Pursuit
cites work: Distributed Basis Pursuit
cites work: Stable recovery of sparse overcomplete representations in the presence of noise
cites work: Filtering based parameter estimation for observer canonical state space systems with colored noise
cites work: The hierarchical iterative identification algorithm for multi-input-output-error systems with autoregressive noise
cites work: Improving transient performance of adaptive control via a modified reference model and novel adaptation
cites work: Robust state estimation for wireless sensor networks with data-driven communication
Wikidata QID: Q129461059
description: scientific article; zbMATH DE number 6914665