The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform
Chen Zonghai - One of the best experts on this subject based on the ideXlab platform.
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an improved multi variable system s adaptive predictive control algorithm based on Laguerre Function
World Congress on Intelligent Control and Automation, 2004Co-Authors: Zhang Haitao, Chen Zonghai, Qin Ting, Wang Lei, Xiang WeiAbstract:The principle and algorithm of the multi-variable adaptive predictive control strategy based on Laguerre model is introduced, and the recursive least square algorithm of Laguerre spectral coefficients in the control strategy is amended as well, so the control performance is greatly improved by this strategy. Simulations on the Shell model of a heavy oil distillation column prove the validity and superiority of this improved control algorithm.
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a Laguerre Function model adaptive predictive control strategy based on a chaotic neural network for heavy oil distillation column
Information & Computation, 2004Co-Authors: Chen ZonghaiAbstract:Performance index of the adaptive predictive control strategy based on Laguerre model is hard to converge to global optima. And chaotic neural network (CNN) can effectively avoid local optima during the optimization process. In this paper, the adaptive predictive control strategy based on Laguerre model and the features of CNN are briefly introduced. And a novel strategy to apply CNN to optimize the performance index is emphatically brought forward. Simulation results on Shell model of heavy oil distillation column show that the control quality of this hybrid intelligent strategy is markedly improved compared with original control strategy.
Mei Song Tong - One of the best experts on this subject based on the ideXlab platform.
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stable solution of time domain combined field integral equations for transient electromagnetic scattering by composite structures based on nystrom scheme and Laguerre Function
IEEE Transactions on Antennas and Propagation, 2016Co-Authors: Mei Song Tong, Peng Cheng WangAbstract:Transient electromagnetic scattering by composite structures is formulated by time-domain combined field integral equations (TDCFIEs). Traditionally, the TDCFIEs are solved by combining the method of moments (MoMs) in space domain and march-on-intime (MoT) scheme in time domain. The space-domain MoM requires two basic Functions to represent the electric and magnetic current densities on material interfaces, respectively, and the conventional choice of $\hat {n}\times {\mathrm{ RWG}}$ basis Function for representing the magnetic current density may not be good in the TDCFIEs. In addition, the MoT scheme has a well-known late-time instability problem, which will aggravate in the surface integral equations with penetrable media. In this communication, the TDCFIEs for composite structures are solved by a different approach in which the Nystrom method is used to discretize the space domain, while the Galerkin method with Laguerre basis and testing Functions is employed to discretize the time domain. The proposed approach can fully overcome the drawbacks of the traditional approach as demonstrated by numerical examples.
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a hybrid scheme with nystrom discretization for solving transient electromagnetic scattering by conducting objects
IEEE Transactions on Antennas and Propagation, 2015Co-Authors: Mei Song Tong, Wen Jie ChenAbstract:The interaction of transient electromagnetic (EM) waves with objects can be formulated by the integral equation approach in time domain. For conducting objects or homogeneous penetrable objects, the time-domain surface integral equations (TDSIEs) can be applied. Traditionally, the TDSIEs are solved by combining the method of moments (MoM) in spatial domain and a march-on-in-time (MoT) scheme in temporal domain. The MoM usually requires conforming meshes with a well-designed basis Function and the MoT may suffer from a stability problem. In this work, we propose a hybrid scheme in which the Nystrom method is used in spatial domain while the MoM with Laguerre Function as basis and testing Functions is employed with a march-on-in-degree (MoD) manner in the temporal domain. The Nystrom method does not require any basis and testing Functions and can use nonconforming meshes in spatial domain, whereas the MoM with Laguerre Function as basis and testing Functions can fully eliminate the stability problem in temporal domain. Numerical examples for EM scattering by typical conducting objects are presented to demonstrate the scheme and its merits have been verified.
Bangcheng Zhang - One of the best experts on this subject based on the ideXlab platform.
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electrical vehicle path tracking based model predictive control with a Laguerre Function and exponential weight
IEEE Access, 2019Co-Authors: Bing Zhang, Changfu Zong, Guoying Chen, Bangcheng ZhangAbstract:Model predictive control (MPC) is advantageous for designing an electrical vehicle path-tracking controller, but the high computational complexity, mathematical problem, and parameterization challenge adversely affect the control performance. Hence, based on a fully actuated-by-wire electrical vehicle (FAW-EV), a novel path-tracking controller based on improved MPC with a Laguerre Function and exponential weight (LEMPC) is designed. The massive optimization control parameters of MPC with a long control horizon are reduced by introducing a fitting orthogonal sequence consisting of Laguerre Functions, thereby substantially reducing the computational complexity without sacrificing the tracking accuracy. An exponential weight with decreasing characteristic is introduced to MPC to solve the mathematical problem, thereby improving the robustness of the path tracking controller. In addition, the parameterization access for online adjusting path tracking control performance can be provided by the proposed method. The path tracking motion realization for FAW-EV is subsequently illustrated. Finally, several simulations are implemented to verify the advantages of the proposed method.
Beatriz Viviani - One of the best experts on this subject based on the ideXlab platform.
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a sharp weighted transplantation theorem for Laguerre Function expansions
Journal of Functional Analysis, 2007Co-Authors: Gustavo Garrigos, E Harboure, Teresa Signes, Jose L Torrea, Beatriz VivianiAbstract:Abstract We find the sharp range of boundedness for transplantation operators associated with Laguerre Function expansions in L p spaces with power weights. Namely, the operators interchanging { L k α } and { L k β } are bounded in L p ( y δ p ) if and only if − ρ 2 − 1 p δ 1 − 1 p + ρ 2 , where ρ = min { α , β } . This improves a previous partial result by Stempak and Trebels, which was only sharp for ρ ⩽ 0 . Our approach is based on new multiplier estimates for Hermite expansions, weighted inequalities for local singular integrals and a careful analysis of Kanjin's original proof of the unweighted case. As a consequence we obtain new results on multipliers, Riesz transforms and g-Functions for Laguerre expansions in L p ( y δ p ) .
Yixuan Wang - One of the best experts on this subject based on the ideXlab platform.
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the correlation Function potential harmonic and generalized Laguerre Function calculation on the 1s states of the helium atom
Chemical Physics, 1996Co-Authors: Yixuan Wang, Conghao DengAbstract:Abstract We present the correlation-Function potential-harmonic and generalized Laguerre Function method (CFPHGLF), and apply it to the n 1 S (n = 1 − 4) states of the helium atom. We find that the eigenenergies for 2 1S, 3 1S and 4 1S states from the present CFPHGLF method are much better than those from the previous potential-harmonic and generalized Laguerre Function method (PHGLF) (Intern. J. Quantum. Chem. 55 (1995) 47), and they only have errors in the fourth decimal place for 2 1S, the fifth decimal place for 3 1S and 4 1S states compared with those from exact variational method and the correlation-Function hyperspherical-harmonics and generalized Laguerre Function method (CFHHGLF) of the complete set expansion. However, the eigenenergy for the ground state 1 1S is not as good as that from the PHGLF method because of omitting the potential harmonic (PH) bases relevant for electron-electron correlation. The results are also discussed relative to some other hyperspherical harmonic (HH), PH, Hartree-Fock and variational configuration interaction (CI) methods.
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solutions of the schrodinger equations for lithium and excited helium 2 1 s atoms with a correlation Function hyperspherical harmonic and generalized Laguerre Function expansion method
Physical Review A, 1995Co-Authors: Yixuan Wang, Conghao Deng, Dacheng FengAbstract:By introducing a simple spatially symmetric correlation Function, we have modified a hyperspherical harmonic and generalized Laguerre Function (HHGLF) into a correlation Function HHGLF (CFHHGLF) expansion method and used it to solve directly the Schr\"odinger equations of ground-state lithium and excited helium (2 $^{1}$S) atoms. In such a scheme, the wave Function of the lithium atom is decomposed into the product of a correlation Function X (X=exp[-Z(${\mathit{r}}_{1}$+${\mathit{r}}_{2}$+${\mathit{r}}_{\mathit{a}}$)]), and a wave Function \ensuremath{\Phi} expanded in the same way as in the HHGLF method. The eigenenergy can be calculated explicitly by solving a simple secular equation. We have obtained a ground-state eigenenergy which is much better than the Hartree-Fock in precision and approaches the experimental value. The result indicates that it is possible to generalize the hyperspherical harmonic method to a four-body atomic system more successfully. In addition, the exact eigenenergy of the excited He (2 $^{1}$S) has also been obtained with the CFHHGLF method with X=exp[-2(${\mathit{r}}_{1}$+${\mathit{r}}_{2}$)].
