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检索条件"主题词=numerical algorithms"

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A numerical Optimization Approach to Switching Surface Design for Switching LPV Control

A Numerical Optimization Approach to Switching Surface Desig...

引用

American Control Conference

作者： Javadian, Moein Nagamune, Ryozo Univ British Columbia Dept Mech Engn Vancouver BC V6T 1Z4 Canada

ISBN: (纸本)9781479932740

This paper proposes an algorithm to design switching surfaces for the switching linear parameter-varying (LPV) controller with hysteresis switching. The switching surfaces are sought for to optimize the bound of the closed-loop L-2-gain performance. An optimization problem is formulated with respect to parameters characterizing Lyapunov matrix variables, local controller matrix variables, and locations of the switching surfaces. Since the problem turns out to be nonconvex in terms of these characterizing parameters, a numerical algorithm is given to guarantee the decrease of the cost function value after each iteration. A hybrid method which combines the steepest descent method and Newton's method is employed in each iteration to decide the update direction of switching surface parameters. A simple numerical example is provided to demonstrate the validity of the proposed algorithm.

关键词： Algorithm design and analysis Linear matrix inequalities Optimization Silicon Switches Vectors LMIs Linear parameter-varying systems numerical algorithms

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numerical MODELING OF STRAIN RATE HARDENING EFFECTS ON VISCOPLASTIC BEHAVIOR OF METALLIC MATERIALS 14

NUMERICAL MODELING OF STRAIN RATE HARDENING EFFECTS ON VISCO...

引用

14th International Conference on Computational Plasticity, Fundamentals and Applications (COMPLAS)

作者： Dos Santos, Tiago Rosa, Pedro A. R. Maghous, Samir Rossi, Rodrigo Univ Fed Santa Maria Dept Engn Mecan BR-97105900 Santa Maria RS Brazil Univ Lisbon Inst Super Tecn Inst Engn Mecan P-1049001 Lisbon Portugal Univ Fed Rio Grande do Sul Dept Engn Civil BR-90040020 Porto Alegre RS Brazil Univ Fed Rio Grande do Sul Dept Engn Mecan BR-90046902 Porto Alegre RS Brazil

ISBN: (纸本)9788494690969

The main goal of the present work is to provide a finite strain elastic-viscoplastic framework to numerically account for strain, strain rate hardening, and viscous effects in cold deformation of metallic materials. The aim is to provide a simple and robust numerical framework capable of modeling the main macroscopic behavior associated with high strain rate plastic deformation of metals. In order to account for strain rate hardening effects at finite strains, the hardening rule involves a rate dependent saturation hardening, and it accounts for linear hardening prevailing at latter deformation stages. The numerical formulation, finite element implementation, and constitutive modeling capabilities are assessed by means of decremental strain rate testing and constant strain rate loading followed by stress relaxation. The numerical results have demonstrated the overall framework can be an efficient numerical tool for simulation of plastic deformation processes where strain rate history effects have to be accounted for.

关键词： High strain rate effects Finite strain Elastic-viscoplastic material numerical algorithms Finite elements

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Globally Optimal H₂-Norm Model Reduction: A numerical Linear Algebra Approach 24

Globally Optimal <i>H</i><sub>2</sub>-Norm Model Reduction: ...

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24th International Symposium on Mathematical Theory of Networks and Systems (MTNS)

作者： Agudelo, Oscar Mauricio Vermeersch, Christof De Moor, Bart Katholieke Univ Leuven Ctr Dynam Syst Signal Proc & Data Analyt STADIUS Dept Elect Engn ESAT Kasteelpk Arenberg 10 B-3001 Leuven Belgium

We show that the H-2-norm model reduction problem for single-input/single-output (SISO) linear time-invariant (LTI) systems is essentially an eigenvalue problem (EP), from which the globally optimal solution(s) can be retrieved. The first-order optimality conditions of this model reduction problem constitute a system of multivariate polynomial equations that can be converted to an affine (or inhomogeneous) multiparameter eigenvalue problem (AMEP). We solve this AMEP by using the so-called augmented block Macaulay matrix, which is introduced in this paper and has a special (block) multi-shift invariant null space. The set of all stationary points of the optimization problem, i.e., the (2r)-tuples (r is the order of the reduced model) of affine eigenvalues and eigenvectors of the AMEP, follows from a standard EP related to the structure of that null space. At least one of these (2r)-tuples corresponds to the globally optimal solution of the H-2-norm model reduction problem. We present a simple numerical example to illustrate our approach. Copyright (C) 2021 The Authors.

关键词： Model reduction multivariate polynomials augmented block Macaulay matrix multiparameter eigenvalue problems numerical algorithms

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High order numerical differentiation and approximation of Laplace fields using regular grid data

High order numerical differentiation and approximation of La...

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8th International Conference on Charged Particle Optics

作者： Berdnikov, A. S. Inst Analyt Instrumentat St Petersburg 190103 Russia

Specialized numerical schemes for calculation of high order field derivatives are considered. The input data are a regular rectangular mesh with potential values at its nodes, the output data are high order derivative values at grid nodes and associated expressions which enable the calculation of potentials, field values or high order derivatives inside a grid cell with high accuracy. An important feature is that differentiation and approximation techniques are based on a priori knowledge about the Laplace equation which allow the production of numerical schemes with higher order properties. (C) 2011 Elsevier B.V. All rights reserved.

关键词： Field calculation Finite difference methods FDM algorithms Harmonic functions CPO simulations numerical algorithms

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Digital Phase-Sensitive Holography for numerical Shock-wave Distortion Cancellation

Digital Phase-Sensitive Holography for Numerical Shock-wave ...

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AIAA Science and Technology Forum and Exposition (AIAA SciTech)

作者： Evans, Tyrus M. Marsht, Andrew W. Uzodinma, Jaylon Mazumdar, Yi Chen Guildenbecher, Daniel R. Georgia Inst Technol Guggenheim Sch Aerosp Engn Atlanta GA 30332 USA Georgia Inst Technol Woodruff Sch Mech Engn Atlanta GA 30332 USA Sandia Natl Labs Engn Sci Ctr POB 5800 Albuquerque NM 87185 USA

ISBN: (数字)9781624105951

ISBN: (纸本)9781624105951

In extreme supersonic, hypersonic, or explosive environments, the presence of gas-phase shocks cause coherent imaging distortions and inhibit object tracking. In this work, we aim to remove these distortions by measuring the relative phase of the light using digital phase-sensitive holography techniques including a two-step phase-shifting technique and a single-shot polarization phase-shifting technique. Once the phase of the shock-wave is acquired, the distortion is numerically canceled from the image and the un-distorted object image is recovered. This work discusses the theory, provides simulation results, and presents preliminary experimental data showing how this concept can be applied to remove shock-wave phase distortions created by supersonic air jets.

关键词： Shock Waves Polarization numerical algorithms Laser Energy Microscopy Continuous Wave Lasers Combustion System Image Registration Multiphase Flows Frequency Domain

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numerical PROBLEMS AND THEIR SUPPORT IN THE JMSL LIBRARY 4

NUMERICAL PROBLEMS AND THEIR SUPPORT IN THE JMSL LIBRARY

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4th International Conference on APLIMAT

作者： Lukas, Ladislav Univ W Bohemia Fac Econ Dept Stat & Operat Res Plzen 30614 Czech Republic

ISBN: (纸本)9788096926428

An overview of the JMSL 2.5 numerical library, the software product of the Visual Numerics, Inc., is given. There is a package of Java classes developed especially to support scientific computations. The package offers well-known numerical algorithms of linear algebra, optimization, statistics, and lot of other ones covering various fields including 2-D graphics. The paper discusses the JMSL numerical capabilities in general overview and provides some issues focused on possibilities of that package to solve problems in computational economics particularly.

关键词： Computational economics Java numerical algorithms

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numerical Stackelberg Solutions in a Class of Positional Differential Games

Numerical Stackelberg Solutions in a Class of Positional Dif...

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17th IFAC Technical-Committee-on-Optimal-Control (TC 2.4) Workshop on Control Applications of Optimization (CAO)

作者： Kuvshinov, Dmitry R. Osipov, Sergei I. Yeltsin Ural Fed Univ Krasovsky Inst Math & Mech Ekaterinburg Russia Yeltsin Ural Fed Univ Ekaterinburg Russia

We consider a problem of numerical construction of a Stackelberg solution in a differential game with closed-loop information structure and terminal player payoffs. It is divided into two subproblems: the problem of computing of so-called "admissible" motions and the optimization problem on the set of admissible motions. We focus on the latter problem and consider two approaches: enumeration of the follower player payoffs and enumeration of the leader player payoffs. algorithms implementing both approaches are presented and tested on a model system. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Differential games Stackelberg games numerical algorithms

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numerical calculation of the corneal transmittance

Numerical calculation of the corneal transmittance

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19th Congress of the International-Commission-for-Optics

作者： Perez, J Mas, D Vazquez, C Hernandez, C Illueca, C Univ Alicante Depto Interuniv Opt E-03080 Alicante Spain

ISBN: (纸本)0819445967

Obtention of the phase transmitatnce of the cornea under the paraxial assumption does not provide accurate estimation of the corneal aberrations, for wide apertures of the-pupil. On the other hand, exact ray tracing will require a huge amount of calculations band does not provide uniform sampling of the energy distribution at the output. We propose to use a simple approximation that takes into account non-paraxial effects. This approximation allow obtention of a well sampled output plane at no addicional computational cost.

关键词： corneas ray-tracing numerical algorithms

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Comparison of analytical and numerical estimations of laser beam spreading in a turbulent atmosphere 25

Comparison of analytical and numerical estimations of laser ...

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25th International Symposium On Atmospheric and Ocean Optics - Atmospheric Physics

作者： Konyaev, Petr Kanev, Feodor VE Zuev Inst Atmospher Opt Tomsk Russia

ISBN: (数字)9781510631694

ISBN: (纸本)9781510631694

Two possible methods to solve scalar parabolic wave equation describing beam propagation in a randomly inhomogeneous medium have been compared in the article. The analytical approach was based on additive approximation, while numerically the equation was solved by the split-step Fourier algorithm. As was shown calculation of the beam radius with the use of both methods provides approximately the same results in the interval of weak fluctuations of the index of refraction. Increase of distortion intensity leads to divergence of data obtained analytically and in computer simulations. This disagreement can be explained by intrinsic limitations of additive approximation evolving in the regime of strong amplitude-phase fluctuations.

关键词： Atmospheric turbulence numerical algorithms split-step Fourier method wave optics laser beams

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Improvements of the Methods of Radiation Fields numerical Modeling on the Basis of Mirror Reflection Principle

Improvements of the Methods of Radiation Fields Numerical Mo...

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13th International Conference on Computational Science and Its Applications (ICCSA)

作者： Smokty, Oleg I. Russian Acad Sci St Petersburg Inst Informat & Automat St Petersburg 196140 Russia

ISBN: (纸本)9783642396403

Fundamental properties of the angular-spatial symmetry of radiation fields in the uniform slab of a finite optical thickness are used for improvement of the numerical methods and algorithms of the classical radiative transfer theory. A new notion of so called photometrical invariants is introduced. The basic boundary-value problem of the radiative transfer theory is reformulated in new terms for the subsequent simplification of algorithms of numerical modeling methods such as spherical harmonics, discrete ordinates, Gauss-Seidel and Case methods. This simplification leads to two-fold decrease of the ranks of linear algebraic equations with simultaneous reduction of numerical modeling intervals connected with angular and spatial variables.

关键词： mirror refelection principle photometrical invariants boundary-value problem numerical algorithms rank of linear equations system iteration spherical harmonics discrete ordinates Gauss-Seidel and Case methods

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