An additional branch free algebraic B-spline curve fitting method

Hu, Mingxiao; Feng, Jieqing; Zheng, Jianmin

doi:10.1007/s00371-010-0476-4

Cited by 6 publications

(2 citation statements)

References 16 publications

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“…The data acquisition results are shown in Table 2. Curve fitting is performed according to the data in Table 2 [24]. The curves of theoretical flow and actual collected flow can be obtained at a constant frequency, as shown in Figure 10.…”

Section: Data Acquisition and Analysis Of Constant Frequency Flowmentioning

confidence: 99%

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

et al. 2021

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In this paper, in order to improve the control characteristics of the centrifugal pump flow control system, a mathematical model of the centrifugal pump flow control system was established based on an analysis of the basic structures, such as the frequency converter, motor, and centrifugal pump. Based on the adaptive control theory, the recursive least squares algorithm with a forgetting factor was used to estimate the real-time parameters of the centrifugal pump control system, and the self-tuning PID control method was used to optimize the mathematical model of the centrifugal pump flow control system. The simulation results showed that the adjustment time of the optimized system was shortened by 16.58%, and the maximum overshoot was reduced by 83.90%, which improved the rapidity and stability of the transient response of the system. This showed that adaptive control had a significant effect on improving the robustness and anti-interference ability of the centrifugal pump control system. In order to further verify the accuracy of the self-tuning PID control method, a flow adaptive control system test platform was built. The test results showed that under the conditions of constant frequency and variable frequency, the actual flow rate of the centrifugal pump was always kept near the set flow rate, the error was small, and it had better real-time followability. The research results showed that adaptive control could revise the parameters in real-time according to changes to the centrifugal pump control system, which improved the stability and robustness of the system. Therefore, adaptive PID control could effectively improve the adaptability of centrifugal pumps to various complex working conditions and improve the working efficiency of centrifugal pumps.

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Section: Data Acquisition and Analysis Of Constant Frequency Flowmentioning

confidence: 99%

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

et al. 2021

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“…Unreasonable knot vector arrangement may lead to unacceptable shapes [10]. Researchers put higher fitting accuracy at the same knot number [11,12], fewer knot number under the same accuracy requirements [13,14] and faster operating efficiency [15,16] as the main pursuit goals of B-spline curve fitting. This paper develops a B-spline curve fitting of hunger predation optimization on ship line design (HPA).…”

Section: Introductionmentioning

confidence: 99%

B-Spline Curve Fitting of Hungry Predation Optimization on Ship Line Design

Sun

Liu

2022

Applied Sciences

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The ship line often describes by the offset table of discrete data points, which leads to the problems that three view coordinates may not correspond, the fitting error is large and the fitted curve cannot be easily modified. This will seriously affect the subsequent ship performance evaluation and optimization. To solve this problem, this paper develops a B-spline curve fitting of hunger predation optimization on ship line design (HPA), which contains knot guidance technology, hungry predation optimization technology and adaptive adjustment of algorithm input parameters. HPA transforms the discrete ship line into a continuous B-spline curve description, which improves the accuracy and modifiability of the ship line design. Through the real-time feedback of the results of each round of iteration, the knot vector is adaptively adjusted towards a better fitness, and then the optimal control point set that satisfies the error threshold can be obtained. The effectiveness and superiority of HPA are verified by comparing with related research and engineering software.

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Robust and accurate computation of geometric distance for Lipschitz continuous implicit curves

Zhou

2017

Vis Comput

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An additional branch free algebraic B-spline curve fitting method

Cited by 6 publications

References 16 publications

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

B-Spline Curve Fitting of Hungry Predation Optimization on Ship Line Design

Robust and accurate computation of geometric distance for Lipschitz continuous implicit curves

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