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A radial basis function surrogate model assisted evolutionary algorithm for high-dimensional expensive optimization problems

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APPLIED SOFT COMPUTING 2022年第0期116卷 108353-108353页

作者： Chen, Guodong Zhang, Kai Xue, Xiaoming Zhang, Liming Yao, Chuanjin Wang, Jian Yao, Jun Univ Hong Kong Hong Kong Peoples R China China Univ Petr East China Qingdao Peoples R China City Univ Hong Kong Hong Kong Peoples R China

Evolutionary algorithms require large number of function evaluations to locate the global optimum, making it computationally prohibitive on dealing with expensive problems. Surrogate-based optimization methods have shown promising ability on accelerating the convergence speed. However, it is still a challenging work for surrogate-assisted methods to deal with high-dimensional expensive problems because it is hard to approximate the objective function in high-dimensional space. In this paper, a novel radial basis function surrogate model assisted evolutionary algorithm for high-dimensional expensive optimization problems (RSAEH) is proposed. Specifically, the proposed algorithm consists of local search part and surrogate-guided prescreening part. In the local search part, the local surrogate is built by radial basis function with the most promising training sample points, and the optima (or near-optima) is located by optimizer to conduct exact function evaluation. In the surrogate-guided prescreening part, the current best sample point is refined by using sequential quadratic programming, thus guide the mutation direction by using differential evolution operator, and promising offspring prescreened by surrogate model are evaluated using exact function evaluation. To validate the effectiveness of the proposed algorithm, it is tested on benchmark problems with dimension ranging from 30 to 100, as well as a real-world oil reservoir production optimization problem. The proposed algorithm achieved best optimization results on 16 benchmark functions among 21 benchmark function sets in comparison with other algorithms. The performance of RSAEH is competitive especially on 100-D benchmark functions. In addition, RSAEH also showed promising performance on a real-world oil reservoir production optimization problem with 160 variables, in comparison with several state-of-the-art algorithms.

关键词： Surrogate model Differential evolution Radial basis function High-dimensional expensive optimization sequential quadratic programming

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Orthogonal regression - reality or isotropy?

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TM-TECHNISCHES MESSEN 2020年第10期87卷 637-646页

作者： Loesler, Michael Eschelbach, Cornelia Frankfurt Univ Appl Sci Fac Architecture Civil Engn & Geomat Lab Ind Metrol Nibelungenpl 1 D-60318 Frankfurt Germany

The orthogonal distance fitting is a common approach not only in metrology. Minimizing the orthogonal distances is often called as the most natural error criterion in least squares adjustments because such a derived solution provides a clear physical meaning. In this contribution, some of the implied properties of the orthogonal regression are investigated. It is evaluated whether these properties hold for a general optimization problem or whether these are exclusive properties of the orthogonal regression. Following Kolaczia [9], the goal of our investigation is to answer the question, whenever the orthogonal distance fitting should be applied in metrology.

关键词： Orthogonal-distance-fitting orthogonal regression sequential quadratic programming regression analysis metrology

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Design "feasilization" using knowledge-based engineering and optimization techniques

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JOURNAL OF AIRCRAFT 2007年第6期44卷 1776-1786页

作者： Schut, E. J. van Tooren, M. J. L. Delft Univ Technol Fac Aerosp Engn NL-2629 HS Delft Netherlands

The multidisciplinary design optimization process can be supported by partial automation of analysis and optimization steps. Design-and-engineering engines are a useful concept to structure this automation. Within the design-and-engineering engines, a product is parametrically defined using knowledge-based engineering. This parametric product model needs to be initiated before global multidisciplinary optimization can be performed. The "feasilization" is done by the initiator component in the design-and-engineering engines that simulates the heuristic methods normally used by designers to estimate the first values for the parameters and variables describing their designs. The initiation of values for structural parameters and variables is elaborated for a sample composite-stiffened panel structure. It is shown that the initiator function of the design-and-engineering-engine concept can be implemented on the basis of optimization techniques using sirnplification of the design requirements, simplified representations of the design options, and the class of so-called schematic models to mimic the designer's job in the preliminary sizing phase of the design. An implementation of the initiator is used in a sample design-and-engineering engine for aircraft vertical tail design.

关键词： Finite Element Modeling Buckling Analysis Aircraft Configurations Nastran Maximum Shear Stresses sequential quadratic programming Multidisciplinary Design Optimization Structural Response Wing Configurations Airbus

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Research on the configuration design and energy management of a novel plug-in hybrid electric vehicle based on the double-rotor motor and hybrid energy storage system

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ENERGY 2024年 302卷

作者： Yang, Kun Zhang, Benjun Chu, Yongkun Wang, Zhongwei Shao, Changjiang Ma, Chao Shandong Univ Technol Sch Transportat & Vehicle Engn Zibo 255000 Peoples R China Hyundai Motor Technol & Engn Ctr China Ltd Yantai 264006 Peoples R China Weichai Power Co Ltd Weifang 261043 Peoples R China

Aiming at the problems of conventional plug-in hybrid electric vehicle (PHEV), a novel PHEV configuration called DH-PHEV is proposed based on double-rotor motor (DRM) and hybrid energy storage system (HESS). For improving the comprehensive efficiency and reducing the charging/discharging rate of battery, the comprehensive energy management strategy (CEMS) is studied. Firstly, a rule-based torque allocation strategy is proposed based on the DH-PHEV configuration, the DRM operating characteristics, and the HESS operating states. The torque allocation of DRM is optimized based on the sequential quadratic programming. Secondly, the power allocation between battery and supercapacitor is optimized based on the dynamic programming (DP), with the goal of reducing the charging/discharging rate of battery and minimizing the energy consumption. The CEMS for DH-PHEV is proposed based on the DP optimization results and DRM torque allocation. Finally, the feasibility and adaptability of DH-PHEV configuration and CEMS are verified. The results show that the adaptability of CEMS under different driving cycles is excellent, and the operating modes are reasonable. The comprehensive efficiency and the charging/discharging rate of battery are optimized effectively. Under 6 WLTCs and 16 actual vehicle driving cycles, the pure electric driving range for DH-PHEV is improved by 1.07 % and 4.36 %, respectively.

关键词： Plug-in hybrid electric vehicle Double -rotor motor Hybrid energy storage system sequential quadratic programming Dynamic programming Comprehensive energy management strategy

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Optimal Placement of Phasor Measurement Units with Linear and Non-linear Models

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ELECTRIC POWER COMPONENTS AND SYSTEMS 2015年第4期43卷 357-373页

作者： Theodorakatos, Nikolaos P. Manousakis, Nikolaos M. Korres, George N. Natl Tech Univ Athens ECE Dept Athens Greece

Abstract-This article presents a non-linear programming-based model for the optimal placement of phasor measurement units. The optimal phasor measurement units placement is formulated to minimize the number of phasor measurement units required for full system observability and to maximize the measurement redundancy at all buses in a power system. A sequential quadratic programming algorithm is used for the solution of the proposed model. The existence of power flow and injection measurements, the limited phasor measurement units channel capacity, the lack of communication facilities in substations, and the single phasor measurement units loss are also incorporated into the initial proposed formulation. The non-linear programming model is applied to IEEE 14- and 118-bus test systems in MATLAB. The accuracy and the effectiveness of the proposed method is verified by comparing the simulation results to those obtained by a binary integer programming model also implemented in MATLAB. The comparative study shows that the proposed non-linear programming model yields the same number of phasor measurement units as the binary integer programming model. A remarkable advantage of the non-linear programming against binary integer linear programming is its capability to give more than one optimal solution, each one having the same minimum number of phasor measurement units (same minimum objective value), but at different locations.

关键词： binary integer linear programming optimization mixed integer linear programming Phasor measurement unit observability sequential quadratic programming optimal placement non-linear programming

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Optimization of pass schedules for a tandem cold mill

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TETSU TO HAGANE-JOURNAL OF THE IRON AND STEEL INSTITUTE OF JAPAN 2004年第11期90卷 953-957页

作者： Murakami, AA Nakayama, M Okamoto, M Abiko, Y Sano, K Tsuchihashi, T Kobe Steel Ltd Tech Dev Grp Nishi Ku Kobe Hyogo 6512271 Japan Kobe Steel Ltd Kakogawa Works Kobe Hyogo Japan

Pass schedules for a tandem cold mill affect the productivity and quality of rolled strips. This paper describes optimization of pass schedules, which are optimized via sequential quadratic programming method. Performance functions and constraint conditions are chosen to achieve desired rolling conditions such as rolling forces, motor electric currents and reductions in thickness. Consequently, strips with small gage tolerance can be produced at higher productivity. The newly optimized pass schedules are applied to a 5-stand tandem cold mill. The results showed 3% decrease in off-gage length and 0.4% increase in productivity.

关键词： tandem cold mill pass schedule optimization sequential quadratic programming

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Structural Optimization of Cylinder-crown Integrated Hydraulic Press with Hemispherical Hydraulic Cylinder

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Procedia Engineering 2014年 81卷 1663-1668页

作者： Weiwei Zhang Xiaosong Wang Zongren Wang Shijian Yuan School of Materials Science and Engineering Harbin Institute of Technology Harbin 150090 China

Cylinder-crown integrated hydraulic press is an innovative press. The hemispherical hydraulic cylinder also functions as a main portion of crown. Compared with the conventional hydraulic press in which cylinder mounted in the crown, the thickness of hemispherical hydraulic cylinder could be much thinner and the crown section modulus could be much higher under the same application condition. As a result, the material strength capacity is better utilized. Based on sequential quadratic programming, structural optimization of hemispherical hydraulic cylinder for weight reduction has been carried out within the range of constraints including strength and stiffness conditions. Compared with the initial design, a lighter structure with weight reduction 7% and acceptable stress distribution has been obtained. Considering the advantages of cylinder-crown integrated hydraulic press, according to its optimization design, a 6300KN prototype hydraulic press has been manufactured.

关键词： Cylinder-crown integrated hydraulic press Optimization design sequential quadratic programming

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Fast Quantum Gate Control with Trajectory Optimization

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IFAC-PapersOnLine 2024年第14期58卷 331-336页

作者： Shouliang Hu Ming Li Chunlin Chen Daoyi Dong School of Engineering Australian National University Canberra Australia School of Automation Guangdong University of Technology Guangdong China School of Management and Engineering Nanjing University Nanjing China CIICADA Lab School of Engineering Australian National University Canberra Australia

Fast quantum control helps reduce the influence of unavoided disturbances and hence plays a vital role in practical quantum technology and chemical reactions. Instead of optimizing the terminal cost like standard optimal quantum control methods, this paper formulates the problem as a trajectory optimization problem, and implements the sequential quadratic programming algorithm to search for short control fields. The core idea is to minimize the cumulative intermediate error to incentivize early achievement of the designed gate. The numerical result on the Toffoli gate demonstrates the effectiveness of the proposed method.

关键词： quantum gate trajectory optimization sequential quadratic programming

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A speedup method for solving the inverse kinematics problem of robotic manipulators

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INTERNATIONAL JOURNAL OF ADVANCED ROBOTIC SYSTEMS 2022年第3期19卷

作者： Xie, Shuxin Sun, Lining Wang, Zhenhua Chen, Guodong Soochow Univ Suzhou Jiangsu Peoples R China

The inverse kinematics problem involves the study that the inverse kinematics solver needs to calculate the values of the joint variables given the desired pose of the end-effector of a robot. However, to apply to seven-degree-of-freedom robots with arbitrary configuration, analytical methods need to fix one joint and set an increment when the current value fails to solve the inverse kinematics problem. Although numerical methods based on inverse differential kinematics are efficient in solving the inverse kinematics problem of seven-degree-of-freedom robots with arbitrary geometric parameters, they are deficient in numerical stability and time-consuming for convergence to one solution governed by the initial guess. In order to reduce the execution time of an inverse kinematics solver, this article introduces a speedup method for analytical and numerical methods, which can improve their performance.

关键词： Robot kinematics speedup method Newton-Raphson method Levenberg-Marquardt algorithm sequential quadratic programming inverse kinematics

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Nonlinear Model Predictive Control and Collision-Cone-Based Missile Guidance Algorithm

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2021年第8期44卷 1481-1497页

作者： Bhattacharjee, Diganta Chakravarthy, Animesh Subbarao, Kamesh Univ Texas Arlington Dept Mech & Aerosp Engn Box 19018 Arlington TX 76019 USA

In this paper, a hybrid missile guidance algorithm is proposed for planar engagement scenarios. The method combines nonlinear model predictive control (NMPC) with a collision cone approach, and enables the guidance algorithm to achieve interception, while ensuring that the impact angle lies in a predefined range. The guidance scheme comprises two components: 1) point-mass-based NMPC and 2) collision-cone-based NMPC. The point-mass-based NMPC is employed when the distance between the missile and the target is large, and when this distance falls below a threshold, the algorithm switches to a collision-cone-based NMPC. Connections between the impact angle and the collision cone are theoretically established, and these are used in the collision-cone-based NMPC. The NMPC problems are formulated as quadratic programs that include appropriate constraints on the states and inputs, while not requiring target acceleration information. These quadratic programs are shown to be strictly convex. Detailed simulations are performed to demonstrate the effectiveness of the proposed approach.

关键词： Guidance Algorithms Model Predictive Control sequential quadratic programming Terminal Guidance Control Guidance Heading Angle Optimal Control Engagement Kinematics Warheads Convex Optimization

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