Auxiliary Model-Based Recursive Generalized Least Squares Algorithm for Multivariate Output-Error Autoregressive Systems Using the Data Filtering

This paper focuses on the parameter estimation problem of multivariate output-error autoregressive systems. Based on the data filtering technique and the auxiliary model identification idea, we derive a filtering-based auxiliary model recursive generalized least squares algorithm. The key is to filter the input–output data and to derive two identification models, one of which includes the system parameters and the other contains the noise parameters. Compared with the auxiliary model-based recursive generalized least squares algorithm, the proposed algorithm requires less computational burden and can generate more accurate parameter estimates. Finally, an illustrative example is provided to verify the effectiveness of the proposed algorithm.

[1]  Feng Ding,et al.  Iterative Parameter Estimation for Signal Models Based on Measured Data , 2018, Circuits Syst. Signal Process..

[2]  F. Alsaadi,et al.  Recursive parameter identification of the dynamical models for bilinear state space systems , 2017 .

[3]  Chuancun Yin,et al.  The perturbed Sparre Andersen model with a threshold dividend strategy , 2008 .

[4]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[5]  Meihang Li,et al.  The least squares based iterative algorithms for parameter estimation of a bilinear system with autoregressive noise using the data filtering technique , 2018, Signal Process..

[6]  Feng Liu,et al.  Regularity of discrete multisublinear fractional maximal functions , 2017 .

[7]  Feng Ding,et al.  Hierarchical gradient parameter estimation algorithm for Hammerstein nonlinear systems using the key term separation principle , 2014, Appl. Math. Comput..

[8]  Zhen Zhang,et al.  Maximum likelihood estimation method for dual-rate Hammerstein systems , 2017 .

[9]  Feng Liu,et al.  On the Triebel-Lizorkin space boundedness of Marcinkiewicz integrals along compound surfaces , 2017 .

[10]  Ling Xu.  The parameter estimation algorithms based on the dynamical response measurement data , 2017 .

[11]  Min Gan,et al.  A Variable Projection Approach for Efficient Estimation of RBF-ARX Model , 2015, IEEE Transactions on Cybernetics.

[12]  Feng Ding,et al.  The maximum likelihood least squares based iterative estimation algorithm for bilinear systems with autoregressive moving average noise , 2017, J. Frankl. Inst..

[13]  Fuad E. Alsaadi,et al.  Iterative parameter identification for pseudo-linear systems with ARMA noise using the filtering technique , 2018 .

[14]  Feng Ding,et al.  A novel parameter separation based identification algorithm for Hammerstein systems , 2016, Appl. Math. Lett..

[15]  Adnan Al-Smadi,et al.  A Least-Squares-Based Algorithm for Identification of Non-Gaussian ARMA Models , 2007 .

[16]  Feng Liu,et al.  Rough maximal singular integral and maximal operators supported by subvarieties on Triebel–Lizorkin spaces , 2018, Nonlinear Analysis.

[17]  Feng Ding,et al.  Decomposition-based recursive least squares identification methods for multivariate pseudo-linear systems using the multi-innovation , 2018, Int. J. Syst. Sci..

[18]  Weihai Zhang,et al.  Necessary/sufficient conditions for Pareto optimum in cooperative difference game , 2018 .

[19]  F. Ding,et al.  Performance analysis of the generalised projection identification for time-varying systems , 2016 .

[20]  Feng Ding,et al.  Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering , 2017, J. Frankl. Inst..

[21]  Wei Xing Zheng,et al.  A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems , 2017, Autom..

[22]  Feng Ding,et al.  Parameter estimation algorithms for dynamical response signals based on the multi-innovation theory and the hierarchical principle , 2017, IET Signal Process..

[23]  Mirosław Pawlak,et al.  Hammerstein System Identification With the Nearest Neighbor Algorithm , 2017, IEEE Transactions on Information Theory.

[24]  Ying Shen,et al.  Exit problems for jump processes with applications to dividend problems , 2013, J. Comput. Appl. Math..

[25]  Feng Liu,et al.  On the regularity of maximal operators supported by submanifolds , 2017 .

[26]  Feng Liu,et al.  Continuity and approximate differentiability of multisublinear fractional maximal functions , 2018 .

[27]  Feng Ding,et al.  Recursive Least Squares and Multi-innovation Stochastic Gradient Parameter Estimation Methods for Signal Modeling , 2017, Circuits Syst. Signal Process..

[28]  Feng Ding,et al.  A multi-innovation state and parameter estimation algorithm for a state space system with d-step state-delay , 2017, Signal Process..

[29]  James Lam,et al.  H∞ and H2 filtering for linear systems with uncertain Markov transitions , 2016, Autom..

[30]  Feng Ding,et al.  Some new results of designing an IIR filter with colored noise for signal processing , 2018, Digit. Signal Process..

[31]  F. Ding,et al.  Recasted models-based hierarchical extended stochastic gradient method for MIMO nonlinear systems , 2017 .

[32]  Min Liu,et al.  Research on a handwritten character recognition algorithm based on an extended nonlinear kernel residual network , 2018, KSII Trans. Internet Inf. Syst..

[33]  Feng Ding,et al.  Parameter estimation for control systems based on impulse responses , 2017 .

[34]  Feng Ding,et al.  Combined state and parameter estimation for a bilinear state space system with moving average noise , 2018, J. Frankl. Inst..

[35]  Feng Ding,et al.  The data filtering based generalized stochastic gradient parameter estimation algorithms for multivariate output-error autoregressive systems using the auxiliary model , 2018, Multidimens. Syst. Signal Process..

[36]  Liang Liang,et al.  Optimization of Information Interaction Protocols in Cooperative Vehicle-Infrastructure Systems , 2018 .

[37]  Yasser Shekofteh,et al.  A New Chaotic System with a Self-Excited Attractor: Entropy Measurement, Signal Encryption, and Parameter Estimation , 2018, Entropy.

[38]  Chuancun Yin,et al.  Nonexponential asymptotics for the solutions of renewal equations, with applications , 2006, Journal of Applied Probability.

[39]  Hong Wang,et al.  Fault Diagnosis and Tolerant Control for Discrete Stochastic Distribution Collaborative Control Systems , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  C. Yin,et al.  The Perturbed Compound Poisson Risk Process with Investment and Debit Interest , 2010 .

[41]  Long Chen,et al.  On Some Separated Algorithms for Separable Nonlinear Least Squares Problems , 2018, IEEE Transactions on Cybernetics.

[42]  Feng Ding,et al.  A hierarchical least squares identification algorithm for Hammerstein nonlinear systems using the key term separation , 2018, J. Frankl. Inst..

[43]  Chaomin Luo,et al.  Biologically Inspired Self-Organizing Map Applied to Task Assignment and Path Planning of an AUV System , 2018, IEEE Transactions on Cognitive and Developmental Systems.

[44]  Jianbin Qiu,et al.  Finite Frequency $H_{\infty }$ Deconvolution With Application to Approximated Bandlimited Signal Recovery , 2018, IEEE Transactions on Automatic Control.

[45]  Weihai Zhang,et al.  ℋ- index for discrete-time stochastic systems with Markovian jump and multiplicative noise , 2018, Autom..

[46]  Wei Xing Zheng,et al.  A Recursive Identification Algorithm for Wiener Nonlinear Systems with Linear State-Space Subsystem , 2018, Circuits Syst. Signal Process..

[47]  Wen-Qin Wang,et al.  Sparsity-aware transmit beamspace design for FDA-MIMO radar , 2018, Signal Process..

[48]  C. Yin,et al.  Optimality of the threshold dividend strategy for the compound Poisson model , 2011 .

[49]  Rui Liu,et al.  Contract design for relay incentive mechanism under dual asymmetric information in cooperative networks , 2018, Wirel. Networks.

[50]  Feng Liu,et al.  Singular integrals related to homogeneous mappings in Triebel-Lizorkin spaces , 2017 .

[51]  Feng Ding,et al.  Least Squares based Iterative Parameter Estimation Algorithm for Stochastic Dynamical Systems with ARMA Noise Using the Model Equivalence , 2018 .

[52]  Yuan Cao,et al.  Storage Aided System Property Enhancing and Hybrid Robust Smoothing for Large-Scale PV Systems , 2017, IEEE Transactions on Smart Grid.

[53]  Meihang Li,et al.  Auxiliary Model Based Least Squares Iterative Algorithms for Parameter Estimation of Bilinear Systems Using Interval-Varying Measurements , 2018, IEEE Access.

[54]  Rik Pintelon,et al.  Identification of multivariable dynamic errors-in-variables system with arbitrary inputs , 2017, Autom..

[55]  Yuan Cao,et al.  Multiobjective Sizing Optimization for Island Microgrids Using a Triangular Aggregation Model and the Levy-Harmony Algorithm , 2018, IEEE Transactions on Industrial Informatics.

[56]  Feng Ding,et al.  A filtering based multi-innovation gradient estimation algorithm and performance analysis for nonlinear dynamical systems , 2017 .

[57]  Jiling Ding,et al.  Recursive and Iterative Least Squares Parameter Estimation Algorithms for Multiple-Input–Output-Error Systems with Autoregressive Noise , 2018, Circuits Syst. Signal Process..

[58]  Xia Zhang,et al.  Standard Analysis for Transfer Delay in CTCS-3 , 2017 .

[59]  Bor-Sen Chen,et al.  LaSalle-Type Theorem and Its Applications to Infinite Horizon Optimal Control of Discrete-Time Nonlinear Stochastic Systems , 2017, IEEE Transactions on Automatic Control.

[60]  C. Yin,et al.  Optimal dividends problem with a terminal value for spectrally positive Levy processes , 2013, 1302.6011.