integrated error
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Actuators ◽  
2021 ◽  
Vol 10 (12) ◽  
pp. 331
Author(s):  
Zhenle Dong ◽  
Yinghao Yang ◽  
Geqiang Li ◽  
Zheng Zhang

For the demands of a high precision motion control of an uncertain electro-mechanical launching platform, a novel integrated error constraint asymptotic control in the presence of parametric uncertainties and uncertain disturbance is proposed, of which the barrier function method and a continuous asymptotic control design are integrated for the first time. The former technique can effectively avoid excessive tracking errors at the transient phase, which is caused by the disturbance and the large uncertain system parameters’ deviation between the initial estimated value and the actual value, by selecting a proper barrier threshold, while the latter technique can handle the uncertain disturbance to achieve asymptotic tracking. A rigorous stability analysis is given to illustrate the theoretical performance. In addition, as a supplementary measure, repetitive control is employed to estimate and compensate the possible periodic-like disturbance under certain conditions. Two experimental cases on a prototype of a launching platform demonstrate the effectiveness of the proposed controller.


2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Raynold Tan ◽  
Andrew Ooi ◽  
Richard D. Sandberg

AbstractThis study seeks to compare different combinations of spatial dicretization methods under a coupled spatial temporal framework in two dimensional wavenumber space. The aim is to understand the effect of dispersion and dissipation on both the convection and diffusion terms found in the two dimensional linearized compressible Navier–Stokes Equations (LCNSE) when a hybrid finite difference/Fourier spectral scheme is used in the x and y directions. In two dimensional wavespace, the spectral resolution becomes a function of both the wavenumber and the wave propagation angle, the orientation of the wave front with respect to the grid. At sufficiently low CFL number where temporal discretization effects can be neglected, we show that a hybrid finite difference/Fourier spectral schemes is more accurate than a full finite difference method for the two dimensional advection equation, but that this is not so in the case of the LCNSE. Group velocities, phase velocities as well as numerical amplification factor were used to quantify the numerical anisotropy of the dispersion and dissipation properties. Unlike the advection equation, the dispersion relation representing the acoustic modes of the LCNSE contains an acoustic terms in addition to its advection and viscous terms. This makes the group velocity in each spatial direction a function of the wavenumber in both spatial directions. This can lead to conditions for which a hybrid Fourier spectral/finite difference method can become less or more accurate than a full finite difference method. To better understand the comparison of the dispersion properties between a hybrid and full FD scheme, the integrated sum of the error between the numerical group velocity $$V^{*}_{grp,full}$$ V g r p , f u l l ∗ and the exact solution across all wavenumbers for a range of wave propagation angle is examined. In the comparison between a hybrid and full FD discretization schemes, the fourth order central (CDS4), fourth order dispersion relation preserving (DRP4) and sixth order central compact (CCOM6) schemes share the same characteristics. At low wave propagation angle, the integrated errors of the full FD and hybrid discretization schemes remain the same. At intermediate wave propagation angle, the integrated error of the full FD schemes become smaller than that of the hybrid scheme. At large wave propagation angle, the integrated error of the full FD schemes diverges while the integrated error of the hybrid discretization schemes converge to zero. At high reduced wavenumber and sufficiently low CFL number where temporal discretization error can be neglected, it was found that the numerical dissipation of the viscous term based on the CDS4, DRP4, CCOM6 and isotropy optimized CDS4 schemes ($$\hbox {CDS4}_{{opt}}$$ CDS4 opt ) schemes was lower than the actual physical dissipation, which is only a function of the cell Reynolds number. The wave propagation angle at which the numerical dissipation of the viscous term approaches its maximum occurs at $$\pi /4$$ π / 4 for the CDS4, DRP4, CCOM6 and $$\hbox {CDS4}_{{opt}}$$ CDS4 opt schemes.


2021 ◽  
pp. 1-1
Author(s):  
Lei Xu ◽  
Ning Zhang ◽  
Ming Chang ◽  
Huadong Chen ◽  
Chunsheng Lin ◽  
...  

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Yue Yan

The approach of multipoint measurement, with increasing hardware cost, should no longer be adopted against the problem of low detection precision on the quality and concentration measurement of large-caliber or irregular pipeline gas with the single platinum film probe. Alternatively, the data correction and improvement can be carried out through establishing an RBF model to detect sample gas after preprocessing. Furthermore, the computer simulation and error analysis can be implemented by taking actual SO2 data emitted by one medium-sized coal-fired power plant in China as a training sample. Hence, it can be shown that this approach on improvement and analysis of continuous monitoring of the systematic integrated error against the instrument correction and flue gas emission has feasibility, and the comprehensive average error is less than 0.6%.


2020 ◽  
Vol 32 (3) ◽  
pp. 520-529
Author(s):  
Keisuke Suzuki ◽  
◽  
Joohyeong Lee ◽  
Atsushi Kanbe

This study examined the effect of system status presentation on driver behavior when driving with ACC and LKA, which are classified as level 2 automated driving. First, we analyzed the driving behavior of 40 test participants in a driving simulator study under three HMI conditions: without safety level, correct safety level, and incorrect safety level which does not work properly and becomes inactive. The driver behavior database constructed in this experiment, was used to quantify the accident avoidance probability under each HMI condition using the state transition probabilistic model proposed by the author in a previous study. Finally, we quantified the degree of reduction in the probability of accident occurrence when using this HMI device in consideration of the risk of malfunction based on the integrated error model proposed by the author. Based on these results, it was shown that the HMI device that acts as a real-time interface at the system safety level between the driver and the automated driving using ACC and LKA is effective in reducing traffic accidents regardless of the increased probability of traffic accidents due to malfunctions of HMI device.


2020 ◽  
Vol 63 ◽  
pp. 206-213
Author(s):  
Guangyan Ge ◽  
Zhengchun Du ◽  
Xiaobing Feng ◽  
Jianguo Yang

2019 ◽  
Vol 25 (10) ◽  
pp. 1565-1574
Author(s):  
Jiaqi Lyu ◽  
Souran Manoochehri

Purpose The purpose of this paper is to improve the accuracy of fused deposition modeling (FDM) machines. Design/methodology/approach An integrated error model and compensation methods are developed to improve the accuracy of FDM machines. The effects of machine-dependent and process-dependent errors are included in this integrated model. The error model is then used to obtain compensated values for the printed object. A three-dimensional artifact is designed for the FDM machine characterization. This process takes place only once and an error model for the machine is then developed. An artifact is designed that is feature rich and its coordinates are measured by the coordinate measuring machine (CMM). The CMM digitized values for the three-dimensional artifact are used to calculate the coefficients of the model. The integrated error model of the machine can be used to obtain the compensated values for any given part models. The coefficients of the integrated error model are machine-dependent and represent machine error estimation. To demonstrate this, two test examples are used and modified based on the machine model to verify the effectiveness of the proposed method. Findings The errors from machine mechanical structure and process are evaluated. The variation trend of each error is analyzed. The uncompensated and compensated models are compared, and the effectiveness of the integrated error model and compensation method is analyzed and validated. Originality/value An effective integrated error model with compensation is developed, which can be used to improve the FDM machines accuracy.


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