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11th World Congress on Intelligent Control and Automation

作者： He, Shuping Song, Jun Anhui Univ Sch Elect Engn & Automat Hefei 230601 Peoples R China

ISBN: (纸本)9781479958252

Two computation iterative algorithm are studied to solve the coupled game algebraic Riccati equation (CGARE) associated with the optimal H-infinity control problems for a class of Markovian jumping linear systems (MJLSs). The two iterative algorithms are based on the framework of Kleinman iteration algorithm. At first, the direct parallel Kleinman iteration algorithm is proposed and the convergence of the iterative algorithm is established. Then, we introduce a more general iterative algorithm (called generalized parallel Kleinman iteration algorithm) with four different cases. Finally, a numerical example has been provided to demonstrate the effectiveness of the proposed algorithms.

关键词： iteration algorithm Markovian Jumping Linear Systems H-infinity Control Coupled Game Algebraic Riccati Equation

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AN iteration algorithm FOR SOLVING POSTBUCKLING EQUILIBRIUM PATH OF SIMPLY-SUPPORTED RECTANGULAR PLATES UNDER BIAXIAL COMPRESSION

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Applied Mathematics and Mechanics(English Edition) 1993年第6期14卷 517-526页

作者：乔宗椿 Shanghai University of Technology Shanghai Institute of Applied Mathematics and Mechanics Shanghai

In this paper, on the basis of von Karman large deflection equations and its double trigonometric series solution, we present a simple, fast and effective iteration algorithm for solving simply-supported rectangular p... 详细信息

关键词： rectangular plates postbuckling equilibrium path iteration algorithm

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iteration algorithm for Solving the Optimal Strategies of a Class of Nonaffine Nonlinear Quadratic Zero-sum Games

Iteration Algorithm for Solving the Optimal Strategies of a ...

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The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

作者： Xin Zhang Huaguang Zhang Yanhong Luo Meng Dong Information Science and Engineering Northeastern University Shenyang 110819 China

A iteration algorithm is derived to solve the optimal strategies of continuous-time *** nonlinear quadratic zero-sum game in this paper. The nonaffine nonlinear quadratic zero-sum game is transformed into an equivalent sequence of linear quadratic zero-sum games. The associated Hamiltion-Jacobi-Isaacs (HJI) equation is transformed into a sequence of algebraic Riccati equations. The optimal strategies of the zero-sum game are obtained by iteration. The convergence of the iteration algorithm is proved under very mild conditions of local Lipschitz continuity. Finally, this approach is applied to a numerical example to demonstrate its convergence and effectiveness.

关键词： Zero-sum game Nonaffine nonlinear iteration algorithm HJI equation

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iteration algorithm for Solving the Optimal Strategies of a Class of Nonaffine Nonlinear Quadratic Zero-sum Games

Iteration Algorithm for Solving the Optimal Strategies of a ...

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2010 Chinese Control and Decision Conference

作者： Xin Zhang,Huaguang Zhang,Yanhong Luo and Meng Dong Information Science and Engineering,Northeastern University,Shenyang 110819,China

A iteration algorithm is derived to solve the optimal strategies of continuous-time nonaffine nonlinear quadratic zero-sum game in this *** nonaffine nonlinear quadratic zero-sum game is transformed into an equivalent sequence of linear quadratic zero-sum *** associated Hamiltion-Jacobi-lsaacs(HJI) equation is transformed into a sequence of algebraic Riccati *** optimal strategies of the zero-sum game are obtained by iteration. The convergence of the iteration algorithm is proved under very mild conditions of local Lipschitz ***, this approach is applied to a numerical example to demonstrate its convergence and effectiveness.

关键词： Zero-sum game Nonaffine nonlinear iteration algorithm HJI equation

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The new iteration algorithm for absolute value equation

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APPLIED MATHEMATICS LETTERS 2020年 99卷 105990-000页

作者： Ke, Yifen Fujian Normal Univ Coll Math & Informat Fuzhou 350117 Fujian Peoples R China Fujian Normal Univ FJKLMAA Fuzhou 350117 Fujian Peoples R China

In this paper, a new iteration algorithm is proposed for the absolute value equation. The convergence of the proposed algorithm is studied under suitable assumptions. Moreover, some numerical experiments are given to ... 详细信息

关键词： Absolute value equation iteration algorithm Convergence analysis

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Technical Note: Vehicle simulation program: A tool to evaluate hybrid power management strategies based on an innovative iteration algorithm

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Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 2001年第9期215卷 1043 - 1052页

作者： J Van Mierlo G Maggetto Vrije University Brussels Belgium

In the framework of a PhD research programme [1] a vehicle simulation program is developed. It is a modular user-friendly interactive programme that allows the simulation of the behaviour of electric (battery, hybrid and fuel cell) as well as internal combustion (petrol, diesel, CNG, etc.) vehicles. The goal of the simulation program is to study power flows in drivetrains and corresponding component losses as well as to compare different drivetrain topologies. This comparison can be realized at the level of consumption (fuel and electricity) and emissions (CO2, HC, NOx, CO, particles, etc.) as well as at the level of performance (acceleration, range, maximum slope). The main modelling aspects and research ‘trigger points’, including its innovative iteration algorithm, will be highlighted in this paper.

关键词： simulation program iteration algorithm electric vehicle hybrid vehicle power management energy consumption emissions

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WEIGHTED iteration algorithm FOR SOLVING BI-OBJECTIVE LINEAR PROGRAMMING PROBLEM

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INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 2024年第3期20卷 755-770页

作者： Wang, Shuoqi Wang, Zhanzhong Jilin Univ Transportat Coll 5988 Renmin Rd Changchun 130025 Peoples R China

Based on the multi-objective linear weighted method and the characteristic that the sum of the weighted coefficients of the bi-objective function is 1, a weighted iteration algorithm for solving bi-objective linear optimization has been proposed. The basic principle of the algorithm is that when the weighted coefficients increase gradually from a very small value to 1, an efficient solution can be obtained. The iteration algorithm needs convergence conditions. This paper proves the relationship between the iterative convergence conditions and the optimal solution of the objective function, and multiple efficient solutions can be obtained by iteration. According to the actual demand of the project, a method of determining the most efficient solution is given. The main advantage of the algorithm is that the implementation process of the weighted iteration algorithm only needs the optimal solution of a single objective function, and there is no complex process or algorithm for solving weighted coefficients. The algorithm is simple and effective, and overcomes the shortcomings of the existing algorithms that have the complex parameter setting and solving process. The examples and application show that the weighted iteration algorithm is scientific and correct, and it is easy to be used and programmed and can play an important role in practical engineering application.

关键词： Linear programming iteration algorithm Bi-objective linear programming Multi-objective linear programming Mathematical programming

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Robust modeling by experimental data using polynomial iteration GMDH algorithm

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JOURNAL OF AUTOMATION AND INFORMATION SCIENCES 2008年第3期40卷 23-34页

作者： Aksenova, T. I. Zhozef Fourier Univ Grenoble France

The polynomial iteration algorithm to realize the robust parametric and structural estimation within the frame of GMDH technique is presented. The two-level neural network structure with the controlled model complexity provides the computational stability of GMDH-PNN algorithm. The computational experiment demonstrating the parametric and structural robustness in the presence of outliers as well as examples of modeling problems solution in pharmacology and medicine are described.

关键词： iteration algorithm robust parametric estimation GMDH-algorithm polynomial iteration

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An iteration-based algorithm for two-pass flute grinding of slide round milling tools

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INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 2020年第9-10期111卷 2533-2543页

作者： Chen, Zhan Liu, Xianli He, Genghuang Yue, Caixu Wang, Lihui Liang, Steven Y. Harbin Univ Sci & Technol Sch Mech & Power Engn Harbin 150080 Peoples R China Xiamen Golden Egret Special Alloy Co Ltd Xiamen 361006 Peoples R China KTH Royal Inst Technol Dept Prod Engn S-10044 Stockholm Sweden Georgia Inst Technol Precis Machining Res Consortium Atlanta GA 30318 USA

Solid end mill cutting tools are widely used in machining of curved surface parts in many industrial sectors, e.g., aerospace, automotive, and energy. Grinding is one of the most important processes in the manufacturing of the tools, and the movement of the grinding wheel closely influences the key parameters of helical groove cross-section, i.e., rake angle gamma(o), inner core radius R-c, outer core radius R-cb, and edge width E-w, as well as chip removal capacity. However, a "closed" flute of a tool, which is one style of flute, may cause many problems if grinding it by one-pass, e.g., grinding wheel dressing to adapt to the change of flute parameters. To solve the problem in "closed" flute grinding, this paper proposes a two-pass flute grinding based on the iteration method. Within the context, some parameters and rules are identified in modeling of the two-pass grinding to control grinding wheel width and to smoothen grinding marks between the two passes of grinding. Finally, the method is implemented and validated by a set of numeric simulations and experiments. The results show that the errors of core radius, rake angle, edge width, and big core radius of the two ground tools are 1.1%, 2.0%, 3.4%, and 2.2%, respectively, which are within the designed tolerances.

关键词： Closed flute iteration algorithm Two-pass grinding Grinding mark

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A phase error compensation method for three-dimensional shape measurement using improved iteration algorithm

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Optica Acta: International Journal of Optics 2023年第8期70卷

作者： Xin Meng Shifeng Wang Peng Zhang Feng Qian Jun Ma Jin Meng Kaiyue Du Bo Lu Shigeng Song a School of Optoelectronic Engineering Changchun University of Science and Technology Changchun People’s Republic of China a School of Optoelectronic Engineering Changchun University of Science and Technology Changchun People’s Republic of Chinab Zhongshan Institute of Changchun University of Science and Technology Zhongshan People’s Republic of China b Zhongshan Institute of Changchun University of Science and Technology Zhongshan People’s Republic of China c School of Computing Engineering and Physical Sciences University of the West of Scotland Renfrewshire UK

The binary defocusing has been extensively studied in the three-dimensional measurement. But if the projector is slightly defocused, the binary fringes after defocusing still contain high-order harmonics compared with the ideal sinusoidal fringes, so the phase error caused by the nonlinear response is not negligible. In this paper, two models are proposed to calculate and compensate phase error, which include a double-precision iterative compensation model (DPICM) and a dual-domain iterative compensation model (DDICM). These two models obtain accurate phase errors by fusing the phases at different precision and domains. DPICM is composed of the double precision method and the improved iterative algorithm, and DDICM consists of the dual-domain method and the improved iterative algorithm. This improved iterative algorithm is used to compensate phase error, which can improve phase accuracy. DPICM and DDICM reduce the RMS error by 25.5% and 13.5% respectively.

关键词： Three-dimensional shape measurement phase error compensation iteration algorithm phase shifting profilometry

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