A novel structural adaptive Caputo fractional order derivative multivariate grey model and its application in China's energy production and consumption prediction

Wang, Yong; Yang, Zhongsen; Luo, Yongxian; Yang, Rui; Sun, Lang; Sapnken, Flavian Emmanuel; Narayanan, Govindasami

doi:10.1016/j.energy.2024.133622

Energy

2024

DOI: 10.1016/j.energy.2024.133622

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A novel structural adaptive Caputo fractional order derivative multivariate grey model and its application in China's energy production and consumption prediction

Yong Wang,

Zhongsen Yang,

Yongxian Luo

et al.

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Cited by 2 publications

References 60 publications

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A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production

Wang,

Yang,

Zhou

et al. 2025

Renewable Energy

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A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production

Wang,

Yang,

Zhou

et al. 2025

Renewable Energy

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Analysis of Error-Based Switched Fractional-Order Adaptive Systems: An Error Model Approach

Aguila-Camacho,

Gallegos,

Chen

et al. 2024

Fractal Fract

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Switched adaptive laws for parameter estimation have been proposed in recent years to improve the balance between control energy and system performance in adaptive schemes, which is often a big issue when using traditional integer-order or fractional-order adaptive laws in adaptive identification and control. These switched adaptive laws are represented as fractional-order differential equations whose order can switch between a number within the range (0,1) and 1. However, a general analytical framework that allows proving the boundedness of the solutions and convergence of the estimation/tracking error is not yet available, with only particular analyses for specific schemes being accessible. This paper address this issue, presenting the analysis of four error models that can appear in the field of adaptive systems when these adaptive laws are chosen. The boundedness of the solutions is proved for all cases, together with the convergence to zero of the estimation/tracking error. Additionally, sufficient conditions for parameter convergence are presented, showing that the excitation condition required for parameter convergence in the vector case is also sufficient for parameter estimation in the matrix case. A numerical example is included to show the possible advantages of using switched adaptive laws in a Model Reference Adaptive Control application. Results show that controller parameters can be found for the switched controller, enabling us to obtain an overall improvement of 7.75% with respect to the non-switched integer-order controller and 34.6% with respect to the non-switched fractional-order controller.

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A novel structural adaptive Caputo fractional order derivative multivariate grey model and its application in China's energy production and consumption prediction

Cited by 2 publications

References 60 publications

A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production

A novel structure adaptive new information priority grey Bernoulli model and its application in China's renewable energy production

Analysis of Error-Based Switched Fractional-Order Adaptive Systems: An Error Model Approach

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