Identification of a Non‐Commensurate Fractional‐Order Nonlinear System Based on the Separation Scheme DOI
Junwei Wang,

Weili Xiong,

Feng Ding

et al.

International Journal of Adaptive Control and Signal Processing, Journal Year: 2024, Volume and Issue: 39(1), P. 116 - 131

Published: Oct. 27, 2024

ABSTRACT This article is aimed to study the parameter estimation problems of a non‐commensurate fractional‐order system with saturation and dead‐zone nonlinearity. In order reduce structural complexity system, model separation scheme used decompose nonlinear into two subsystems, one includes parameters linear part other part. Then, we derive an auxiliary separable gradient‐based iterative algorithm help scheme. addition, improve utilization real time information, multi‐innovation presented based on sliding measurement window. Finally, feasibility algorithms validated by numerical simulations.

Language: Английский

Hierarchical gradient‐ and least‐squares‐based iterative estimation algorithms for input‐nonlinear output‐error systems from measurement information by using the over‐parameterization DOI
Feng Ding, Ling Xu, Xiao Zhang

et al.

International Journal of Robust and Nonlinear Control, Journal Year: 2023, Volume and Issue: 34(2), P. 1120 - 1147

Published: Oct. 17, 2023

Abstract This article investigates the parameter identification problems of stochastic systems described by input‐nonlinear output‐error (IN‐OE) model. IN‐OE model consists two submodels, one is an input nonlinear and other a linear The difficulty in that information vector contains unknown variables, which are noise‐free (true) outputs system, approach taken here to replace terms with auxiliary Based on over‐parameterization hierarchical principle, gradient‐based iterative algorithm least‐squares‐based proposed estimate parameters systems. Finally, numerical simulation examples given demonstrate effectiveness algorithms.

Language: Английский

Citations

77

Recursive identification methods for general stochastic systems with colored noises by using the hierarchical identification principle and the filtering identification idea DOI
Feng Ding, Ling Xu, Xiao Zhang

et al.

Annual Reviews in Control, Journal Year: 2024, Volume and Issue: 57, P. 100942 - 100942

Published: Jan. 1, 2024

Language: Английский

Citations

70

Decomposition and composition modeling algorithms for control systems with colored noises DOI
Ling Xu, Feng Ding

International Journal of Adaptive Control and Signal Processing, Journal Year: 2023, Volume and Issue: 38(1), P. 255 - 278

Published: Oct. 19, 2023

Summary This article proposes a novel identification framework for estimating the parameters of controlled autoregressive moving average (CARARMA) models with colored noise. By means building an auxiliary model and using hierarchical principle, this investigates highly‐efficient parameter estimation algorithm. In order to meet need identifying systems large‐scale parameters, whole CARARMA system is separated into two sets decomposition composition recursive algorithm (i.e., generalized extended least squares or decomposition‐based algorithm) presented. Moreover, analyzes convergence proposed The performance analysis shows that can reduce complexity compared without decomposition.

Language: Английский

Citations

69

Filtered generalized iterative parameter identification for equation‐error autoregressive models based on the filtering identification idea DOI
Feng Ding, Xingling Shao, Ling Xu

et al.

International Journal of Adaptive Control and Signal Processing, Journal Year: 2024, Volume and Issue: 38(4), P. 1363 - 1385

Published: Jan. 28, 2024

Summary By using the collected batch data and iterative search, based on filtering identification idea, this article investigates proposes a filtered multi‐innovation generalized projection‐based method, gradient‐based least squares‐based method for equation‐error autoregressive systems described by models. These methods can be extended to other linear nonlinear scalar multivariable stochastic with colored noises.

Language: Английский

Citations

61

Multi‐innovation gradient‐based iterative identification methods for feedback nonlinear systems by using the decomposition technique DOI
Dan Yang, Feng Ding

International Journal of Robust and Nonlinear Control, Journal Year: 2023, Volume and Issue: 33(13), P. 7755 - 7773

Published: June 3, 2023

Summary This paper studies the parameter estimation problems of feedback nonlinear systems. Combining multi‐innovation identification theory with negative gradient search, we derive a gradient‐based iterative algorithm. In order to reduce computational burden and further improve accuracy, decomposition algorithm is proposed by using technique. The key transform an original system into two subsystems estimate parameters each subsystem, respectively. A simulation example provided demonstrate effectiveness algorithms.

Language: Английский

Citations

54

Hierarchical Gradient-Based Iterative Parameter Estimation Algorithms for a Nonlinear Feedback System Based on the Hierarchical Identification Principle DOI
Dan Yang, Yanjun Liu, Feng Ding

et al.

Circuits Systems and Signal Processing, Journal Year: 2023, Volume and Issue: 43(1), P. 124 - 151

Published: Aug. 17, 2023

Language: Английский

Citations

52

Hierarchical recursive least squares parameter estimation methods for multiple‐input multiple‐output systems by using the auxiliary models DOI

Haoming Xing,

Feng Ding, Feng Pan

et al.

International Journal of Adaptive Control and Signal Processing, Journal Year: 2023, Volume and Issue: 37(11), P. 2983 - 3007

Published: Aug. 23, 2023

Summary Multiple‐input multiple‐output (MIMO) models are widely used in practical engineering. This article derives a new identification model of the MIMO system by decomposing into several multiple‐input single‐output subsystems. By means auxiliary idea, an model‐based recursive least squares (AM‐RLS) algorithm is derived for identifying systems. In order to reduce computational burden systems, this presents hierarchical applying principle, (AM‐HLS) proposed improving efficiency. The efficiency analysis indicates that AM‐HLS effective reducing calculation amount compared with AM‐RLS algorithm. Moreover, analyzes convergence simulation example shows and algorithms studied effective.

Language: Английский

Citations

52

Adaptive Multi-Innovation Gradient Identification Algorithms for a Controlled Autoregressive Autoregressive Moving Average Model DOI
Ling Xu, Huan Xu, Feng Ding

et al.

Circuits Systems and Signal Processing, Journal Year: 2024, Volume and Issue: 43(6), P. 3718 - 3747

Published: March 13, 2024

Language: Английский

Citations

49

Parameter and order estimation algorithms and convergence analysis for lithium‐ion batteries DOI

Chong Hu,

Haibo Liu, Yan Ji

et al.

International Journal of Robust and Nonlinear Control, Journal Year: 2023, Volume and Issue: 33(18), P. 11411 - 11433

Published: Aug. 29, 2023

Abstract The fractional‐order equivalent circuit model can reflect the internal reaction mechanism of a lithium‐ion battery well. This article aims to design an effective and optimization method describe analyze operating characteristics based on online measurement data. controlled autoregressive is derived by exploiting memory superiorities fractional‐order, which comprises electrochemical impedance spectroscopy ‐RC as special cases. utilization polynomial properties reduces difficulty identification while preserving ability fit battery. To realize simultaneous parameter order estimation, weighted gradient descent algorithm proposed. approach designs new direction fully utilizes data from adding suitable factor. In addition, forgetting factor introduced speed up convergence produce more accurate estimation. Furthermore, in proposed algorithms, are proved using martingale theory stochastic principle. Finally, experimental simulation result shows performance algorithms.

Language: Английский

Citations

43

Decomposition‐based maximum likelihood gradient iterative algorithm for multivariate systems with colored noise DOI
Lijuan Liu

International Journal of Robust and Nonlinear Control, Journal Year: 2024, Volume and Issue: 34(11), P. 7265 - 7284

Published: March 28, 2024

Summary In this paper, we use the maximum likelihood principle and negative gradient search to study identification issues of multivariate equation‐error systems whose outputs are contaminated by an moving average noise process. The model decomposition technique is used decompose system into several regressive subsystems based on number outputs. order improve parameter estimation accuracy, a decomposition‐based iterative algorithm proposed means method. numerical simulation example indicates that method has better results than compared algorithm.

Language: Английский

Citations

20