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10th International Conference on Intelligent Robotics and Applications (ICIRA

作者： Jiang, Li Lu, Shaotian Gu, Yikun Zhao, Jingdong Harbin Inst Technol State Key Lab Robot & Syst Harbin 150080 Peoples R China

ISBN: (纸本)9783319652986;9783319652979

In order to improve the efficiency and trajectory tracking accuracy of a robot and reduce its vibration, this paper uses the sequential quadratic programming (SQP) method to perform time-jerk (defined as the derivative of the acceleration) optimal trajectory planning on a 7-degrees-of-freedom (DOF) redundant robot. Kinematic constraints such as joint velocities, accelerations, jerks, and traveling time are considered. When utilizing the SQP method, the initial input is set as average time intervals, and the output is optimal time intervals. Trajectory planning simulations in joint space are performed with optimal time intervals, the results showed that the SQP method is effective and feasible for improving working efficiency and decreasing vibration.

关键词： Trajectory planning sequential quadratic programming Cubic splines Jerk

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The Structural Optimization of Gearbox Based on sequential quadratic programming Method

The Structural Optimization of Gearbox Based on Sequential Q...

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2nd International Conference on Intelligent Computation Technology and Automation

作者： Huang Wei Fu Lingling Liu Xiohuai Wen Zongyin Zhao Leisheng Guangxi Univ Coll Mech Engn Nanning 530004 Peoples R China Guangxi Commun Vocat & Tech Inst Nanning Peoples R China

ISBN: (纸本)9780769538044

Taking the gearbox of medium-sized motor truck for example and According to structural features and design requirements of the gearbox, the mathematical model of optimization which takes the basic design parameters of gearbox as design variable and takes weight loss as the target was established. Optimization tool box of MATLAB and sequential quadratic programming (SQP) method were used to optimize the gearbox and good optimization results were obtained, thus the design efficiency is improved and the production cost of enterprises was reduced.

关键词： Gearbox Optimum design sequential quadratic programming

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Patch Antenna Design with Improved sequential quadratic programming for Automotive Applications

Patch Antenna Design with Improved Sequential Quadratic Prog...

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Asia-Pacific Microwave Conference (APMC)

作者： Chang, Wanli Lukasiewycz, Martin Chakraborty, Samarjit TUM CREATE Ctr Electromobil Singapore Singapore Tech Univ Munich Munich Germany

ISBN: (纸本)9780858259744

This paper proposes a novel methodology to automate the design process of patch antennas using Improved sequential quadratic programming (ISQP). Patch antennas are widely used in the automotive domain and are a key enabler of car- to- car and car- to- infrastructure communication. Although simulation tools have been improved in term of accuracy, a manual design process still takes a lot of time as well as computational efforts and relies to a large extent on human experience. In this paper, a fully automatic approach is presented and two major challenges are solved inherently. First, the conversion of a multi-objective problem into a single- objective problem is performed appropriately such that can be handled by classic sequential quadratic programming (SQP). Second, the problem of being trapped in local optima is solved by a sophisticated exploration of the search space. Compared to other automation methods, our proposed methodology is fast, produces excellent results, needs limited computational efforts, no longer requires relevant domain knowledge, and is applicable to other types of antenna design. Experimental results of a truncated patch antenna with circular polarization are presented, achieving a good design point within 1470 seconds.

关键词： sequential quadratic programming design automation multi-objective patch antenna

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Moving Horizon Optimization of Train Speed Profile Based on sequential quadratic programming

Moving Horizon Optimization of Train Speed Profile Based on ...

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International Conference on Intelligent Rail Transportation (ICIRT)

作者： Liu, Xiaoyu Xun, Jing Ning, Bin Liu, Tong Xiao, Xiao Beijing Jiaotong Univ State Key Lab Rail Traff Control & Safety Beijing Peoples R China Traff Control Technol Co Ltd Beijing Res Inst Beijing Peoples R China

ISBN: (纸本)9781538675281

Recommended speed profile is a complementary function of the automatic train operation (ATO). Most studies focus on the off-line optimization of recommended speed profile. In this paper, we design a moving horizon optimization algorithm which can get the speed profile online. We use the velocity and operation time as state variables of the nonlinear train operation model and take the energy consumption and punctuality as objectives. Then we apply the sequential quadratic programming (SQP) to such multi-objective optimization problem with several nonlinear constraints. The simulation results based on the Yizhuang Line of Beijing Subway indicate that, the sequential quadratic programming based moving horizon optimization algorithm has high computational efficiency and can make a trade-off between the energy consumption and punctuality.

关键词： train speed profile optimization moving horizon optimization sequential quadratic programming nonlinear system urban rail transit

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A sequential quadratic programming METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION

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SIAM JOURNAL ON OPTIMIZATION 2011年第2期21卷 545-571页

作者： Liu, Xinwei Yuan, Yaxiang Hebei Univ Technol Dept Appl Math Tianjin 300401 Peoples R China Chinese Acad Sci Acad Math & Syst Sci State Key Lab Sci & Engn Comp LSEC Inst Computat Math & Sci Engn Comp Beijing 100190 Peoples R China

We present a sequential quadratic programming method without using a penalty function or a filter for solving nonlinear equality constrained optimization. In each iteration, the linearized constraints of the quadratic programming are relaxed to satisfy two mild conditions;the step-size is selected such that either the value of the objective function or the measure of the constraint violations is sufficiently reduced. As a result, our method has two nice properties. First, we do not need to assume the boundedness of the iterative sequence. Second, we do not need any restoration phase which is necessary for filter methods. We prove that the algorithm will terminate at either an approximate Karush-Kuhn-Tucker point, an approximate Fritz-John point, or an approximate infeasible stationary point which is an approximate stationary point for minimizing the l 2 norm of the constraint violations. By controlling the exactness of the linearized constraints and introducing a second-order correction technique, without requiring linear independence constraint qualification, the algorithm is shown to be locally superlinearly convergent. The preliminary numerical results show that the algorithm is robust and efficient when solving some small-and medium-sized problems from the CUTE collection.

关键词： sequential quadratic programming penalty function filter regularity global and local convergence analysis

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An improved sequential quadratic programming method for identifying the total heat exchange factor of reheating furnace

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INTERNATIONAL JOURNAL OF THERMAL SCIENCES 2024年 204卷

作者： Ji, Wenchao Li, Guojun Wei, Linyang Yi, Zhi Northeastern Univ Sch Met Shenyang 110819 Peoples R China Liaoning Engn Res Ctr Proc Ind Energy Saving & Low Shenyang 110819 Peoples R China

Accurate identification of the total heat exchange factor (THEF), which serves as the foundation for online control data in the reheating furnace, holds significant importance for enhancing the digitization and intelligence level of the furnace, mitigating environmental pollution, and improving the economic performance of enterprises. For this purpose, based on the theory of inverse heat transfer problem, a solver combining sequential quadratic programming and Broyden Combined Method (SQPBC) was developed to accurately identify highdimensional and strongly nonlinear THEF in the reheating furnace. Integrating the efficient Broyden Combined Method (BCM) into sequential quadratic programming (SQP) enables the rapid and accurate estimation of the Jacobian matrix to effectively enhance computational speed without compromising accuracy. Experimental data has been employed to validate the accuracy of the inversion results. The performance of SQPBC has been comprehensively analyzed through a series of numerical experiments, with a particular focus on investigating the impact of sampling frequency and sensor location on the inversion results. The findings reveal that after reducing the sampling period to 2 min, further decreasing the sampling period has a minor effect on the average relative error of the identification results;the closer the measurement points are to the surface of the slab, the more accurate the identification of THEF on the slab's surface.

关键词： Total heat exchange factor sequential quadratic programming Broyden combined method Reheating furnace Inversed heat conduction problem bottom THEFs points

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Design of artificial neural networks optimized through genetic algorithms and sequential quadratic programming for tuberculosis model

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WAVES IN RANDOM AND COMPLEX MEDIA 2022年

作者： Shoaib, Muhammad Kainat, Saba Raja, Muhammad Asif Zahoor Nisar, Kottakkaran Sooppy COMSATS Univ Islamabad Dept Math Islamabad Pakistan Natl Yunlin Univ Sci & Technol Future Technol Res Ctr Touliu Taiwan Prince Sattam Bin Abdulaziz Univ Coll Arts & Sci Dept Math Wadi Aldawaser Saudi Arabia

This paper proposes an innovative method for the tuberculosis (TB) model based on a hybrid technique which combines a feed-forward neural network (FFNN) with a Genetic Algorithm (GA) and sequential quadratic programming (SQP) methodologies. The algorithm's main optimizer is GA, while SQP is employed to fine-tune GA's outputs in order to boost assurance in the result. The TB model consists of five classes: susceptible individuals;latent carriers of TB who are unrecognized;individuals with active tuberculosis being treated at home;individuals with active tuberculosis who are being treated at a hospital;and recovered individuals. The nonlinear differential TB system is used to develop a log sigmoid fitness-based function employing mean squared error. The provided paradigm's stability, accuracy, and usefulness are compared using Adam's numerical technique and absolute error analysis. Furthermore, for repeated large algorithm runs, the convergence evaluations of mean absolute deviation (MAD), root mean square error (RMSE), and Theil's inequality coefficient (TIC) is conducted for each class of TB model. The algorithm's precision is demonstrated by the accuracy of convergence measures for MAD, RMSE, and TIC, which range from 3 to 14 decimal places. The value of the proposed approach-based stochastic algorithm is supported by the quantitative study's findings.

关键词： Intelligent computing genetic algorithms sequential quadratic programming tuberculosis model log sigmoid function

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Feasibility of Approximate Model Optimization for Lightweight Design of Vehicle Body Structure Based on sequential quadratic programming Algorithm

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SENSORS AND MATERIALS 2022年第9期34卷 3581-3591页

作者： Zhu, Tianjun Wu, Yang Ouyang, Zhuang Wu, Tunglung Liang, Jianguo Li, Weihao Li, Bin Han, Shiting Zhaoqing Univ Dept Mech & Automot Engn Zhaoqing 526021 Peoples R China CATARC Tianjin Automot Engn Res Inst Co Ltd Tianjin 300300 Peoples R China Guangdong Zhaoqing Inst Qual Inspect & Metrol Zhaoqing 526000 Peoples R China Aptiv PLC Co Troy MI 48098 USA

The general trend in the development of the automobile industry is toward lightweight vehicles, because weight has an important role in determining the performance and quality of vehicles. The body in white (BIW) refers to the stage in automotive design or automobile manufacturing in which a car body's sheet metal components have been welded together but before the moving parts (doors, hoods, deck lids, and fenders), motor, chassis sub-assemblies, and trim (glass, seats, upholstery, electronics, etc.) have been added and before painting. In this paper, we propose an approximate model optimization for the lightweight design of the lower body structure that is based on a sequential quadratic programming algorithm. The proposed comprehensive multi-objective optimization method is used to minimize the body weight without reducing the performance, i.e., the bending and torsion stiffness of the BIW. Firstly, in the conceptual design stage of the BIW, the load transfer path of the BIW is determined using topological technology. The load transfer path is used to guide the structural design and layout of the lower vehicle body. Then, combined with implicit parametric modeling technology, the full parametric BIW model is established, and the size, position, and thickness of the cross section of the lower vehicle body are determined by a multidisciplinary optimization method, and the initial design of the vehicle body weight is reduced. Secondly, the test scheme is designed, and the approximate model of the response surface takes the bending and torsional stiffnesses and the mass of the BIW into consideration. Thirdly, the sequential quadratic programming algorithm combined with the multidisciplinary collaborative optimization algorithm is used to carry out the multi-objective optimization design of the BIW structure and obtain the Pareto optimal solution set. Our results show that the proposed method reduces the weight of the vehicle lower body by 4.07 kg.

关键词： transfer path experimental design approximate model sequential quadratic programming

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YAM2: Yet another library for the M2 variables using sequential quadratic programming

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COMPUTER PHYSICS COMMUNICATIONS 2021年 264卷 107967-107967页

作者： Park, Chan Beom Inst Basic Sci IBS Ctr Theoret Phys Universe 55 Expo Ro Daejeon 34126 South Korea

The M-2 variables are devised to extend M-T2 by promoting transverse masses to Lorentz-invariant ones and making explicit use of on-shell mass relations. Unlike simple kinematic variables such as the invariant mass of visible particles, where the variable definitions directly provide how to calculate them, the calculation of the M-2 variables is undertaken by employing numerical algorithms. Essentially, the calculation of M-2 corresponds to solving a constrained minimization problem in mathematical optimization, and various numerical methods exist for the task. We find that the sequential quadratic programming method performs very well for the calculation of M-2, and its numerical performance is even better than the method implemented in the existing software package for M-2. As a consequence of our study, we have developed and released yet another software library, YAM2, for calculating the M-2 variables using several numerical algorithms.

关键词： Collider physics Kinematic variable Constrained optimization sequential quadratic programming

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NUMERICAL EXPERIENCE WITH sequential quadratic-programming ALGORITHMS FOR EQUALITY CONSTRAINED NONLINEAR-programming

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ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 1989年第1期15卷 49-63页

作者： SHANNO, DF PHUA, KH NATL UNIV SINGAPORE DEPT INFORMAT SYST & COMP SCISINGAPORE 0511SINGAPORE

Computational experience is given for a sequential quadratic programming algorithm when LaGrange multiplier estimates, Hessian approximations, and merit functions are varied to test for computational efficiency. Indic... 详细信息

关键词： Exact differentiable merit functions Hessian updates Lagrange multipliers sequential quadratic programming

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