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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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Scanning error detection and compensation algorithm for white-light interferometry

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OPTICS AND LASERS IN ENGINEERING 2022年 148卷

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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iterative algorithms for solving the split feasibility problem in Hilbert spaces

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JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 2018年第1期20卷 1-21页

作者： Zhao, Jing Zong, Haili Civil Aviat Univ China Tianjin Key Lab Adv Signal Proc Tianjin 300300 Peoples R China Civil Aviat Univ China Coll Sci Tianjin 300300 Peoples R China

In this paper, we introduce two iterative algorithms for the split feasibility problem in real Hilbert spaces by reformulating it as a fixed point equation. Under suitable conditions, weak and strong convergence theorems are established. As a consequence, we obtain weak and strong convergence iterative sequences for the split equality problem introduced by Moudafi. The efficiency of the proposed algorithms is illustrated by numerical experiments. Our results improve and extend the corresponding results announced by many others.

关键词： Split feasibility problem iterative algorithm weak convergence strong convergence hilbert space

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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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A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems

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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2020年第12期97卷 2436-2450页

作者： An, Jing Zhao, Lewei Zhang, Wen-Zhao Guizhou Normal Univ Sch Math Sci Guiyang Guizhou Peoples R China Beijing Computat Sci Res Ctr Beijing 100193 Peoples R China Wayne State Univ Dept Math Detroit MI 48202 USA Ningbo Univ Dept Phys Ningbo 315211 Zhejiang Peoples R China

In this paper, an effective spectral-Galerkin method was proposed for the dissipative dynamics of a Hamiltonian system. By introducing a suitable Sobolev space, we establish a weak form and corresponding discrete scheme. Compared with the existing methods, our method can achieve higher accuracy and shorter computational time. We also simulate quantum cooling in an optomechanical system as an example to show the advantage of our method. Our method provides a promising platform for studying the dissipative dynamics of nonlinear and complex Hamiltonian systems.

关键词： Hamiltonian system spectral-Galerkin approximation iterative algorithm numerical experiments

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A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

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MATHEMATICAL BIOSCIENCES AND ENGINEERING 2020年第6期17卷 6659-6677页

作者： Mustafa, Ghulam Baleanu, Dumitru Ejaz, Syeda Tehmina Anju, Kaweeta Ahmadian, Ali Salahshour, Soheil Ferrara, Massimiliano Islamia Univ Bahawalpur Dept Math Bahawalpur 63100 Pakistan Cankaya Univ Dept Math TR-06530 Ankara Turkey Inst Space Sci Magurele 077125 Romania China Med Univ China Med Univ Hosp Dept Med Res Taichung Taiwan Govt Sadiq Coll Women Univ Dept Math Bahawalpur 63100 Pakistan Natl Univ Malaysia Inst IR 4 0 Bangi 43600 Selangor Malaysia Bahcesehir Univ Fac Engn & Nat Sci Istanbul Turkey Univ Mediterranea Reggio Calabria Dept Law Econ & Human Sci Reggio Di Calabria Italy Univ Mediterranea Reggio Calabria Decis Lab Reggio Di Calabria Italy

In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C-2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engineering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.

关键词： subdivision schemes interpolation approximation Singularly perturbed boundary value problem iterative algorithm

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Resource Allocation in NOMA-Enhanced Full-Duplex Symbiotic Radio Networks

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IEEE ACCESS 2020年 8卷 22709-22720页

作者： Liao, Yating Yang, Gang Liang, Ying-Chang Univ Elect Sci & Technol China Natl Key Lab Sci & Technol Commun Chengdu 611731 Peoples R China Univ Elect Sci & Technol China CINC Chengdu 611731 Peoples R China

This paper studies a full-duplex symbiotic radio network, where a full-duplex access point (FAP) transmits downlink orthogonal frequency division multiplexing signals to a legacy user (LU) and simultaneously receives signals backscattered from multiple passive backscatter devices (BDs) with capability of radio-frequency energy harvesting. A non-orthogonal-multiple-access enhanced dynamic-time-division-multiple-access (NOMA-DTDMA) transmission scheme is proposed to exploit the channel dynamics and further improve the spectrum efficiency. In order to maximize the throughput performance and ensure BD fairness, we maximize the minimum throughput among all BDs by jointly optimizing the FAP's subcarrier power allocation, the BDs' backscatter time allocation and power reflection coefficients, subject to the LU's throughput requirement, the BDs' harvested energy requirements, and other practical constraints. An efficient iterative algorithm is proposed to solve the formulated non-convex problem, by utilizing the block coordinated descent and successive convex optimization techniques. The convergence and complexity of the proposed algorithm are also analyzed. Numerical results show that the proposed NOMA-DTDMA scheme significantly outperforms the benchmark scheme of dynamic TDMA in terms of both throughput performance and BD fairness. Also, the trade-off performances between the BDs' throughput and the LU's throughput requirement as well as the BDs' harvested energy requirements are numerically verified.

关键词： Full-duplex symbiotic radio network iterative algorithm joint resource allocation non-orthogonal-multiple-access (NOMA) throughput optimization

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An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2020年 361卷

作者： Brun, Mats Kirkesaether Wick, Thomas Berre, Inga Nordbotten, Jan Martin Radu, Florin Adrian Univ Bergen Dept Math POB 7800 N-5020 Bergen Norway Leibniz Univ Hannover Inst Appl Math AG Wissensch Rechnen Welfengarten 1 D-30167 Hannover Germany NORCE Norwegian Res Ctr AS Bergen Norway

This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model we consider is a two-field variational inequality system, with the phase field function and the elastic displacements of the solid material as independent variables. Using a penalization strategy, this variational inequality system is transformed into a variational equality system, which is the formulation we take as the starting point for our algorithmic developments. The proposed scheme involves a partitioning of this model into two subproblems;phase field and mechanics, with added stabilization terms to both subproblems for improved efficiency and robustness. We analyze the convergence of the proposed scheme using a fixed point argument, and find that under a natural condition, the elastic mechanical energy remains bounded, and, if the diffusive zone around crack surfaces is sufficiently thick, monotonic convergence is achieved. Finally, the proposed scheme is validated numerically with several bench-mark problems. (C) 2019 The Authors. Published by Elsevier B.V.

关键词： Phase field Fracture propagation iterative algorithm Linearization Convergence analysis Finite element

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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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