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A fast computational algorithm for computing outer pseudo-inverses with numerical experiments

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2022年第0期408卷 114128-114128页

作者： Dehghan, Mehdi Shirilord, Akbar Amirkabir Univ Technol Fac Math & Comp Sci Dept Appl Math Tehran Polytech 424 Hafez Ave Tehran 15914 Iran

In many studies in applied sciences and engineering one should find outer pseudo inverse of a matrix. In this paper, we propose a new efficient algorithm for computing the outer pseudo-inverse of a matrix. We study the convergence analysis of the new algorithm. Finally, test problems and simulation results support the theoretical approach. (c) 2022 Elsevier B.V. All rights reserved.

关键词： Outer pseudo-inverses Efficiency index iterative algorithm Convergence

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Scanning error detection and compensation algorithm for white-light interferometry

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OPTICS AND LASERS IN ENGINEERING 2022年 148卷 106768-106768页

作者： Cui, Kaihua Liu, Qian Huang, Xiaojin Zhang, Hui Li, Lulu China Acad Engn Phys Inst Machinery Mfg Technol 64th Mianshan Rd Mianyang 621000 Sichuan Peoples R China

As the primary error source in white-light interferometry (WLI), the error of scanning steps directly affects coherence peak sensing and greatly lowers the measurement accuracy. Based on the least-squares iterative algorithm, we present an algorithm to detect and compensate for scanning error in WLI. The actual scanning step is calculated from the continuous moving fringes with an iterative algorithm, and the surface is reconstructed with the calculated scanning steps to make compensation. Both simulations and experiments indicate that the high-accuracy measurements can be implemented under disturbance over a wide frequency band. The proposed algorithm could relax the environment requirement of white-light interferometer application.

关键词： White-light interferometry Surface topography measurement Vibration resistance iterative algorithm

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Bumpless H∞ control for periodic piecewise linear systems

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AUTOMATICA 2022年 135卷 109941-109941页

作者： Song, Xiaoqi Lam, James Univ Hong Kong Dept Mech Engn Pokfulam Rd Hong Kong Peoples R China HKU Shenzhen Inst Res & Innovat HKU SIRI Shenzhen 518057 Peoples R China

This paper investigates the bumpless H-infinity control problem based on exponential stability and L-2-gain analyses for a class of periodic piecewise linear systems. A novel characterization of bumpless transfer among a variety of subsystem controllers satisfying some interpolation constraints is introduced. By utilizing adjustable interpolation functions and multiple Lyapunov functions, more flexibility is provided so as to guarantee a desirable closed-loop performance and trajectory smoothness. Since the problem formulated boils down to a feasibility problem involving nonlinear matrix inequalities, an iterative algorithm which solves a series of convex optimization problems is developed. Numerical examples are presented to show the validity of the proposed methods. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： Bumpless transfer H-infinity performance Interpolative controllers iterative algorithm Periodic piecewise systems

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Real-Time Demand Response Multi-Energy Trading Strategy in Multiseller-Multibuyer Smart Distribution Grid

Real-Time Demand Response Multi-Energy Trading Strategy in M...

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第35届中国控制与决策会议

作者： Yunlong Hu Huaiyu Wu Mian Hu Yang Chen Engineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education Wuhan University of Science and Technology

The energy crisis caused by the shortage of traditional fossil fuels has greatly promoted the development of multienergy resources and prompted the great changes in the energy load structure of users,so a new multibuyer-multiseller multienergy trading framework based on real-time demand response in smart distribution grid is proposed in this *** the process of the multi-energy trading,the price competitions among the sellers are modeled as two non-cooperative *** seller selection competition among the users is modeled as an evolutionary *** interaction among the sellers and buyers is modeled as a Stackelberg *** iterative algorithms are proposed to obtain a Stackelberg equilibrium strategy,which maximizes the benefits of all electricity utility companies(EUCs),gas utility companies(GUCs) and *** results show that the real-time demand response strategy proposed in this paper can not only reduce the peak demand,reduce the electricity generation cost of EUCs and the gas production cost of GUCs,but also increase the benefits of users.

关键词： smart grid energy trading demand response game theory iterative algorithm

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Reconfigurable Intelligent Surface Empowered Underlaying Device-to-Device Communication

Reconfigurable Intelligent Surface Empowered Underlaying Dev...

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IEEE Wireless Communications and Networking Conference (WCNC)

作者： Yang, Gang Liao, Yating Liang, Ying-Chang Tirkkonen, Olav Univ Elect Sci & Technol China Chengdu Peoples R China Aalto Univ Aalto Finland

ISBN: (纸本)9781728195056

Reconfigurable intelligent surfaces (RIS) are a new and revolutionary technology to achieve spectrum, energy- and cost-efficient wireless networks. This paper studies the resource allocation for RIS-empowered device-to-device (D2D) communication underlaying a cellular network, in which an RIS is employed to enhance desired signals and suppress interference between paired D2D and cellular links. We maximize the sum rate of D2D users and cellular users by jointly optimizing the resource reuse indicators, the transmit power and the RIS's passive beamforming. To solve the formulated non-convex problem, we first propose an efficient user-pairing scheme based on relative channel strength to determine the resource reuse indicators. Then, the transmit power and the RIS's passive beamforming are jointly optimized by an iterative algorithm, based on the techniques of alternating optimization, successive convex approximation, Lagrangian dual transform and quadratic transform. Numerical results show that the proposed design outperforms the traditional D2D network without RIS.

关键词： Device-to-device communication reconfigurable intelligent surfaces passive beamforming power allocation iterative algorithm

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Practical snapshot hyperspectral imaging with DOE

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OPTICS AND LASERS IN ENGINEERING 2022年 156卷

作者： Hu, Haiquan Zhou, Hao Xu, Zhihai Li, Qi Feng, Huajun Chen, Yueting Jiang, Tingting Xu, Wenbin Zhejiang Univ Coll Opt Sci & Engn State Key Lab Modern Opt Instrumentat Hangzhou 310027 Peoples R China Res Ctr Intelligent Sensing Syst Zhejiang Lab Hangzhou 311100 Peoples R China Sci & Technol Opt Radiat Lab Beijing 100854 Peoples R China

As the pursuit of snapshot spectral imaging continued to grow, traditional hyperspectral imaging systems have been too enormous and too slow to implement in real scenarios. Considering the portability and the demand for snapshots, in this study, we proposed a practical hyperspectral camera with a designed diffractive optical element (DOE). The designed DOE distinguished the incident spectrums and converged them into different point spread functions (PSFs) on the imaging plane. Utilizing the spectrally-varying PSF information, we engaged the iterative algorithm with the deep-learning model to reconstruct hyperspectral data. Experimental results demonstrated that the proposed system performed at least as well as the current methods and could achieve great spatial resolution and spectral accuracy in spectral imaging. This proposed system had good potential in portable hyperspectral imaging system.

关键词： Hyperspectral imaging Diffractive optical element iterative algorithm Neural network Snapshot

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Relaxed Schrodinger Bridges and Robust Network Routing

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IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS 2020年第2期7卷 923-931页

作者： Chen, Yongxin Georgiou, Tryphon T. Pavon, Michele Tannenbaum, Allen Georgia Inst Technol Sch Aerosp Engn Atlanta GA 30332 USA Univ Calif Irvine Dept Mech & Aerosp Engn Irvine CA 92697 USA Univ Padua Dipartimento Matemat Tullio Levi Civita I-35121 Padua Italy SUNY Stony Brook Dept Comp Sci Stony Brook NY 11794 USA SUNY Stony Brook Dept Appl Math & Stat Stony Brook NY 11794 USA

We seek network routing towards a desired final distribution that can mediate possible random link failures. In other words, we seek a routing plan that utilizes alternative routes so as to be relatively robust to link failures. To this end, we provide a mathematical formulation of a relaxed transport problem where the final distribution only needs to be close to the desired one. The problem is cast as a maximum entropy problem for probability distributions on paths with added terminal cost. The entropic regularizing penalty aims at distributing the choice of paths amongst possible alternatives. We prove that the unique solution may be obtained by solving a generalized Schrodinger system of equations. An iterative algorithm to compute the solution is provided. Each iteration of the algorithm contracts the distance (in the Hilbert metric) to the optimal solution by more than 1/2, leading to extremely fast convergence.

关键词： iterative algorithm optimal mass transport relaxed maximum entropy problem robust network routing

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Solving the Optimal Control Problems of Nonlinear Duffing Oscillators By Using an iterative Shape Functions Method

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Computer Modeling in Engineering & Sciences 2020年第1期122卷 33-48页

作者： Cheinshan Liu Chunglun Kuo Jiangren Chang Center of Excellence for Ocean Engineering Taiwan Ocean UniversityKeelung20224TaiwanChina Center of Excellence for the Oceans Taiwan Ocean UniversityKeelung20224TaiwanChina Department of Systems Engineering and Naval Architecture Taiwan Ocean UniversityKeelung20224TaiwanChina

In the optimal control problem of nonlinear dynamical system,the Hamiltonian formulation is useful and powerful to solve an optimal control ***,the resulting Euler-Lagrange equations are not easy to solve,when the performance index is complicated,because one may encounter a two-point boundary value problem of nonlinear differential algebraic *** be a numerical method,it is hard to exactly preserve all the specified conditions,which might deteriorate the accuracy of numerical *** this in mind,we develop a novel algorithm to find the solution of the optimal control problem of nonlinear Duffing oscillator,which can exactly satisfy all the required conditions for the minimality of the performance index.A new idea of shape functions method(SFM)is introduced,from which we can transform the optimal control problems to the initial value problems for the new variables,whose initial values are given arbitrarily,and meanwhile the terminal values are determined *** examples confirm the high-performance of the iterative algorithms based on the SFM,which are convergence fast,and also provide very accurate *** new algorithm is robust,even large noise is imposed on the input data.

关键词： Nonlinear Duffing oscillator optimal control problem Hamiltonian formulation shape functions method iterative algorithm

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A fast algorithm for the adaptive discretization of 3D parametric curves

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ENGINEERING COMPUTATIONS 2020年第5期37卷 1663-1682页

作者： Zhang, Jianming Ju, Chuanming Chi, Baotao Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha Hunan Peoples R China

Purpose The purpose of this paper is to present a fast algorithm for the adaptive discretization of three-dimensional parametric curves. Design/methodology/approach The proposed algorithm computes the parametric increments of all segments to obtain the parametric coordinates of all discrete nodes. This process is recursively applied until the optimal discretization of curves is obtained. The parametric increment of a segment is inversely proportional to the number of sub-segments, which can be subdivided, and the sum of parametric increments of all segments is constant. Thus, a new expression for parametric increment of a segment can be obtained. In addition, the number of sub-segments, which a segment can be subdivided is calculated approximately, thus avoiding Gaussian integration. Findings The proposed method can use less CPU time to perform the optimal discretization of three-dimensional curves. The results of curves discretization can also meet requirements for mesh generation used in the preprocessing of numerical simulation. Originality/value Several numerical examples presented have verified the robustness and efficiency of the proposed algorithm. Compared with the conventional algorithm, the more complex the model, the more time the algorithm saves in the process of curve discretization.

关键词： Computer-aided engineering Meshing Curve discretization iterative algorithm Mesh Computer graphics

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Simultaneous dual-wavelength phase-shifting interferometry for surface topography measurement

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OPTICS AND LASERS IN ENGINEERING 2020年 124卷 105813-000页

作者： Liu, Qian Li, Lulu Zhang, Hui Huang, Wen Yue, Xiaobin China Acad Engn Phys Inst Machinery Mfg Technol 64th Mianshan Rd Mianyang 621000 Sichuan Peoples R China

To deal with vibration disturbance in interferometric measurement of surface topography, we present a simultaneous dual-wavelength phase-shifting interferometry (SDWPSI). SDWPSI collects phase-shifting interferograms of two wavelengths simultaneously with two cameras to accelerate data collection. The optical phases are retrieved from dual-wavelength interferograms with an iterative algorithm that is tolerant of phase-shifting error caused by vibration. And then the measured surface topography is reconstructed by fusing the phases of two wavelengths. Simulations and experiments verify that SDWPSI has a lower measurement noise than single-wavelength interferometry and extends the discontinuity limit to several micrometres. SDWPSI has advantages of high speed, vibration resistance, and low cost, and could be applied to in-workshop and on-machine measurement.

关键词： Phase-shifting interferometry Dual-wavelength interferometry iterative algorithm Vibration resistance

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