Thermal modelling of three-way mixing valves using Bézier curves for parameter estimation applications

Fürst, Yannick; Brandt, Stefan; Kriegel, Martin

doi:10.1016/j.jprocont.2020.04.004

Cited by 5 publications

(3 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonlinear model can capture a number of nonlinear characteristics. 12,13 Hammerstein model can describe a wide range of nonlinear systems simply and effectively with less computation, which is convenient for the analysis of nonlinear processes and easy to identify, so it has been widely used. 14,15 For the identification of Hammerstein systems, many parameter identification methods have been reported.…”

Section: Introductionmentioning

confidence: 99%

“…Hammerstein model consists of static nonlinearities and dynamic linearities. The nonlinear model can capture a number of nonlinear characteristics 12,13 . Hammerstein model can describe a wide range of nonlinear systems simply and effectively with less computation, which is convenient for the analysis of nonlinear processes and easy to identify, so it has been widely used 14,15 .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Maximum likelihood gradient‐based iterative estimation for closed‐loop Hammerstein nonlinear systems

Xia

2023

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article studies a new iterative method for a class of closed‐loop Hammerstein systems. The new iterative method solves the crossproducts between the parameters of the linear block and the nonlinear block by using the key term separation technique, decomposes a system into two subidentification models by utilizing the hierarchical identification principle for reduced computational complexity, and maximizes the maximum likelihood cost function by using the input and output data with a data window for improved parameter estimation accuracy. A numerical simulation example and a continuous stirred tank reactor experiment are presented to demonstrate that the proposed algorithm can work effectively.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Maximum likelihood gradient‐based iterative estimation for closed‐loop Hammerstein nonlinear systems

Xia

2023

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…For example, Huo et al [44] have applied the Bézier curve technique to approach and design the trajectory of the electric sail. A description of the thermal behavior of three-way mixing valves [45], estimation of the Kendall distribution function [46], and circle, and conic approximation [47,48], has been also carried out.…”

Section: Introductionmentioning

confidence: 99%

Fuel Cell Characteristic Curve Approximation Using the Bézier Curve Technique

2020

View full text Add to dashboard Cite

Accurate modelling of the fuel cell characteristics curve is essential for the simulation analysis, control management, performance evaluation, and fault detection of fuel cell power systems. However, the big challenge in fuel cell modelling is the multi-variable complexity of the characteristic curves. In this paper, we propose the implementation of a computer graphic technique called Bézier curve to approximate the characteristics curves of the fuel cell. Four different case studies are examined as follows: Ballard Systems, Horizon H-12 W stack, NedStackPS6, and 250 W proton exchange membrane fuel cells (PEMFC). The main objective is to minimize the absolute errors between experimental and calculated data by using the control points of the Bernstein–Bézier function and de Casteljau’s algorithm. The application of this technique entails subdividing the fuel cell curve to some segments, where each segment is approximated by a Bézier curve so that the approximation error is minimized. Further, the performance and accuracy of the proposed techniques are compared with recent results obtained by different metaheuristic algorithms and analytical methods. The comparison is carried out in terms of various statistical error indicators, such as Individual Absolute Error (IAE), Relative Error (RE), Root Mean Square Error (RMSE), Mean Bias Errors (MBE), and Autocorrelation Function (ACF). The results obtained by the Bézier curve technique show an excellent agreement with experimental data and are more accurate than those obtained by other comparative techniques.

show abstract

Introducing a new nonlinear approach to model heat exchangers designed for control engineering applications

Fürst,

Brandt,

Kriegel

2024

European Journal of Control

View full text Add to dashboard Cite

Thermal modelling of three-way mixing valves using Bézier curves for parameter estimation applications

Cited by 5 publications

References 10 publications

Maximum likelihood gradient‐based iterative estimation for closed‐loop Hammerstein nonlinear systems

Maximum likelihood gradient‐based iterative estimation for closed‐loop Hammerstein nonlinear systems

Fuel Cell Characteristic Curve Approximation Using the Bézier Curve Technique

Introducing a new nonlinear approach to model heat exchangers designed for control engineering applications

Contact Info

Product

Resources

About