The Aitken Accelerated Gradient Algorithm for a Class of Dual‐Rate Volterra Nonlinear Systems Utilizing the Self‐Organizing Map Technique DOI
Junwei Wang, Weili Xiong, Feng Ding

et al.

International Journal of Robust and Nonlinear Control, Journal Year: 2025, Volume and Issue: unknown

Published: April 22, 2025

ABSTRACT This article focuses on the parameter estimation issues for dual‐rate Volterra fractional‐order autoregressive moving average models. In case of sampling, we derive a identification model system and implement intersample output with help an auxiliary method. Then, combined self‐organizing map technique, propose Aitken multi‐innovation gradient‐based iterative algorithm. The parameters are estimated using algorithm, whereas differential orders determined Moreover, computational cost proposed algorithm is analyzed floating point operation. Finally, convergence analysis simulation examples show effectiveness

Language: Английский

Highly efficient maximum-likelihood identification methods for bilinear systems with colored noises DOI
Meihang Li,

Ximei Liu,

Yamin Fan

et al.

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering, Journal Year: 2024, Volume and Issue: 238(10), P. 1763 - 1784

Published: July 27, 2024

This paper mainly discussed the highly efficient iterative identification methods for bilinear systems with autoregressive moving average noise. Firstly, input-output representation of is derived through eliminating unknown state variables in model. Then based on maximum-likelihood principle, a gradient-based (ML-GI) algorithm proposed to identify parameters colored noises. For improving computational efficiency, original model divided into three sub-identification models smaller dimensions and fewer parameters, hierarchical (H-ML-GI) by using principle. A (GI) given comparison. Finally, algorithms are verified simulation example practical continuous stirred tank reactor (CSTR) example. The results show that effective identifying noises H-ML-GI has higher efficiency faster convergence rate than ML-GI GI algorithm.

Language: Английский

Citations

5

Predicting Road Traffic Accidents—Artificial Neural Network Approach DOI Creative Commons

Dragan Gatarić,

Nenad Ruškić, Branko Aleksić

et al.

Algorithms, Journal Year: 2023, Volume and Issue: 16(5), P. 257 - 257

Published: May 17, 2023

Road traffic accidents are a significant public health issue, accounting for almost 1.3 million deaths worldwide annually, with millions more experiencing non-fatal injuries. A variety of subjective and objective factors contribute to the occurrence accidents, making it difficult predict prevent them on new road sections. Artificial neural networks (ANN) have demonstrated their effectiveness in predicting using limited data sets. This study presents two ANN models common roads Republic Serbia Srpska (Bosnia Herzegovina) that can be easily determined, such as length, terrain type, width, average daily volume, speed limit. The number well severity consequences, including fatalities, injuries property damage. developed optimal network showed good generalization capabilities collected foresee, could used accurately observed outputs, based input parameters. highest values r2 ANN1 ANN2 were 0.986, 0.988, 0.977, 0.990, 0.969, accordingly, training, testing validation cycles. Identifying most influential assist improving safety reducing accidents. Overall, this research highlights potential supporting decision-making transportation planning.

Language: Английский

Citations

11

Multi‐Innovation Gradient Identification Methods for Bilinear Output‐Error Systems DOI Open Access
Meihang Li, Ximei Liu, Yamin Fan

et al.

Optimal Control Applications and Methods, Journal Year: 2025, Volume and Issue: unknown

Published: March 13, 2025

ABSTRACT This article addresses the parameter estimation problems of bilinear output‐error systems, and auxiliary model identification idea particle filtering technique are adopted to overcome obstacle resulting from unknown true outputs. Then a filtering‐based forgetting factor stochastic gradient algorithm is proposed for systems. To enhance convergence rate accuracy estimation, we expand scalar innovation an vector develop multi‐innovation algorithm. Finally, numerical example practical continuous stirred tank reactor process provided show that discussed methods work well. The results indicate algorithms effective identifying systems can generate more accurate estimates than model‐based

Language: Английский

Citations

0

Highly Efficient Two-Stage Filtering-Based Maximum Likelihood Stochastic Gradient Algorithm for Multiple-Input Multiple-Output Systems DOI
Huihui Wang, Ximei Liu

Circuits Systems and Signal Processing, Journal Year: 2025, Volume and Issue: unknown

Published: March 22, 2025

Language: Английский

Citations

0

The Aitken Accelerated Gradient Algorithm for a Class of Dual‐Rate Volterra Nonlinear Systems Utilizing the Self‐Organizing Map Technique DOI
Junwei Wang, Weili Xiong, Feng Ding

et al.

International Journal of Robust and Nonlinear Control, Journal Year: 2025, Volume and Issue: unknown

Published: April 22, 2025

ABSTRACT This article focuses on the parameter estimation issues for dual‐rate Volterra fractional‐order autoregressive moving average models. In case of sampling, we derive a identification model system and implement intersample output with help an auxiliary method. Then, combined self‐organizing map technique, propose Aitken multi‐innovation gradient‐based iterative algorithm. The parameters are estimated using algorithm, whereas differential orders determined Moreover, computational cost proposed algorithm is analyzed floating point operation. Finally, convergence analysis simulation examples show effectiveness

Language: Английский

Citations

0