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22nd Mediterranean Conference on Control and Automation (MED)

作者： Milic, Vladimir Kasac, Josip Situm, Zeljko Univ Zagreb Fac Mech Engn & Naval Architecture HR-10000 Zagreb Croatia

ISBN: (纸本)9781479959013

This paper is concerned with L-2-gain optimal control approach for rotary electro-hydraulic servo-system. The electro-hydraulic dynamics with respect to hydraulic motor velocity, with input voltage to the servo valve as control input and load torque as disturbance input, is formulated. The mathematical model results in input-affine nonlinear system. A numerical algorithm based on Newton method to solve a finite-horizon minimax problem for L-2-gain minimisation of electro-hydraulic system is presented. The feedback control and disturbance variables are formulated as linear combination of approximation functions. The proposed algorithm, which has recursive matrix structure, directly finds approximations of the feedback control and the "worst case" disturbance variables. Developed controller has been tested experimentally in the laboratory model of an electro-hydraulic servo system.

关键词： Newton method electrohydraulic control equipment feedback matrix algebra minimax techniques nonlinear systems optimal control servomechanisms torque torque control Newton-like algorithm approximation functions electrohydraulic dynamics feedback control finite horizon minimax problem hydraulic motor velocity input-affine nonlinear system laboratory model load torque mathematical model numerical algorithm recursive matrix structure rotary electrohydraulic servo system servo valve worst case disturbance variables Approximation methods Heuristic algorithms Induction motors Mathematical model Servomotors Torque Valves

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Theoretical modeling and experimental verification for structural response of NOPD based on endochronic theory

Theoretical modeling and experimental verification for struc...

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1st International Conference on Mechanical Engineering

作者： Wang Wei Li Yuyan Chinese Acad Sci Space Opt Lab Xian Inst Opt & Precis Mech Xian 710119 Peoples R China Xian Technol univ Dept Mech & Elect Engn Xian 710032 Peoples R China

ISBN: (纸本)9783037850770

Non-obstructive particle damping (NOPD) is a new composite damping technology based on traditional partical damping and impacting damping, and it has good vibration-reduced results. Through studying thermodynamics constraint condition for non-inverse variation of inner tissue structure of the material, the endochronic theory obtained variation regularity of inner variable, further gave out evolution path of specific non-inverse thermodynamics variable under specific condition, and thus the constitutive relationship of the material was obtained. Based on endochronic theory, an incremental form of the endochronic constitutive relationship of discrete particle was derived, and then penalty element was introduced to solve the connection problem between structure and discrete particle, lastly finite element dynamics equation of NOPD composite structure was constructed. Based on the model of NOPD composite structure, simulation and experiment for response of NOPD free beam were made. It indicated that applying endochronic theory to analyze the response of NOPD is rational, which supplied an effective method for engineering application of NOPD.

关键词： Non-obstructive particle damping Endochronic theory Structural response Vibration-reduced numerical algorithm

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The method of asymptotic stabilization to a given trajectory based on a correction of the initial data

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Computational Mathematics and Mathematical Physics 2006年第1期46卷 34-48页

作者： Kornev, A.A. Faculty of Mechanics and Mathematics Moscow State University Leninskie gory Moscow 119992 Russian Federation

Let S be an operator in a Banach space H and S i (u) (i = 0, 1, ..., u H) be the evolutionary process specified by S. The following problem is considered: for a given point z 0 and a given initial condition a 0, find ... 详细信息

Let S be an operator in a Banach space H and S ⁱ (u) (i = 0, 1, ..., u H) be the evolutionary process specified by S. The following problem is considered: for a given point z ₀ and a given initial condition a ₀, find a correction l such that the trajectory {Sⁱ(a ₀ + l)} approaches{Sⁱ (z ₀)} for 0 < i ≤ n. This problem is reduced to projecting a ₀ on the manifold script M sign^-(z ₀, f ⁽ⁿ⁾) defined in a neighborhood of z ₀ and specified by a certain function f ⁽ⁿ⁾. In this paper, an iterative method is proposed for the construction of the desired correction u = a ₀ + l. The convergence of the method is substantiated, and its efficiency for the blow-up Chafee-Infante equation is verified. A constructive proof of the existence of a locally stable manifold manifold script M^-(z ₀, f) in a neighborhood of a trajectory of hyperbolic type is one of the possible applications of the proposed method. For the points in manifold script M^-(z ₀, f), the value of n can be chosen arbitrarily large. © MAIK "Nauka/Interperiodica" (Russia), 2006.

关键词： Generalized Hadamard-Perron theorem numerical algorithm Stable manifold

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An algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings

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LOBACHEVSKII JOURNAL OF MATHEMATICS 2024年第10期45卷 5032-5042页

作者： Iskakova, N. B. Bakirova, E. A. Khanzharova, B. S. Kadirbayeva, Zh. M. Inst Math & Math Modeling Dept Differential Equat A26G7T5 Alma Ata 050000 Kazakhstan Kazakh Natl Womens Teacher Training Univ Dept Math A05M0T6 Alma Ata 050026 Kazakhstan Int Informat Technol Univ Dept Math & Comp Modeling A15M0F0 Alma Ata 050040 Kazakhstan

In this paper, we propose an efficient numerical algorithm for solving linear two-point boundary value problem for delay differential equations with loadings. The Dzhumabaev parametrization method is applied to construct the numerical solutions. The application of the this method leads the considering problem to a system of algebraic equations and Cauchy problems for differential equation without delay argument that are easy to solve. Several illustrative examples are given to demonstrate the effectiveness of the proposed algorithm.

关键词： delay differential equation loadings parametrization method numerical algorithm

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Energy Consumption Optimal Control of the Train Movement

Energy Consumption Optimal Control of the Train Movement

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International Conference on Automation

作者： Myslinski, Andrzej Nahorski, Zbigniew Szulc, Katarzyna Radziszewska, Weronika Syst Res Inst Ul Newelska 6 PL-01447 Warsaw Poland

ISBN: (纸本)9783319771793;9783319771786

The paper is devoted to the solution of the energy minimization problem for a moving train. The train movement is governed by the system of the first order ordinary differential equations where the train speed and the distance along the track are the state variables. The provided locomotive power depends on the control function. The generated traction force is assumed to depend on the velocity of the train and on the control function. Each non-negative value of the control function determines a traction force control while negative values determine a braking force control. The cost functional is defined as the train energy. It is dependent on traction force, speed and control functions. The speed, distance and control functions are assumed bounded. Using the maximum principle and Lagrangian multipliers the system of equations constituting the necessary optimality conditions is formulated. Based on the analysis of the train movement the optimal trajectories in terms of train speed and associated optimal control functions are calculated. A new simplified method is used to calculate the set of the switching times implementing the optimal control function. numerical examples are provided and discussed.

关键词： ODEs train model Semi analytical solutions Energy minimization Maximum principle Optimal switching numerical algorithm

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Definition and Computation of Carson Formulas 2

Definition and Computation of Carson Formulas

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2nd International Multidisciplinary Conference on Computer and Energy Science (SpliTech)

作者： Krolo, Ivan Modric, Tonci Vujevic, Slavko Univ Split FESB Dept Elect Power Engn Split Croatia

ISBN: (纸本)9789532900712

In this paper, a new numerical algorithm for high-accurate computation of exact Carson formulas is developed. Carson formulas are used for computing of perunit-length (pul) self and mutual impedances of infinitely long parallel conductors. The proposed algorithm is based on piecewise linear approximation of kernel function and analytical integrations of piecewise-linearized kernel function multiplied by the rest of two integrands. Using proposed numerical algorithm, high-accurate results with desired n-digit accuracy can be easily obtained. Results computed by two approximation methods are compared with high-accurate results computed by proposed numerical algorithm for power frequency.

关键词： numerical algorithm Carson formulas self impedance mutual impedance piecewise linear approximation

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Seismic Catastrophic numerical Simulation of Concrete Structures Based on Lagrange Approach

Seismic Catastrophic Numerical Simulation of Concrete Struct...

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2009中国上海国际建筑科技大会

作者： SHAO Changjiang~1,KONG Qingkai~2 (1 Post Doc Researcher,State Key Laboratory of Disaster Prevention in Civil Engineering, Tongji University Shanghai 200092,China 2 Engineer,CCCC Highway Consultants Co.,Ltd,Beijing,China)

This essay describes seismic damage mechanism of concrete material and a general method induced from a mixed Lagrange approach based on irreversible *** kind of method permits nonlinear effects of geometric,material and damage during the catastrophic *** simulate the damage behaviors in concrete materials,the authors make usage of a damage model deduced from a generalized standard material framework. According to the generalized Hamilton principle,the Euler-Lagrange equations of the material and component can be derived from the integral action of generalized standard model based upon Gateaux differentiable form. A numerical implementation technology is exploited to calculate the collapse course of concrete structures.

关键词： seismic catastrophic lagrange approach damage constitutive generalized standard material numerical algorithm

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Analytic Sources Using Polynomial Shaped Particles in the LTP Method

Analytic Sources Using Polynomial Shaped Particles in the LT...

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IEEE International Power Modulator and High Voltage Conference (IPMHVC)

作者： Jackson, Robert H. Verboncoeur, John P. Calabazas Creek Res Inc San Mateo CA 94404 USA Michigan State Univ Dept Elect Commun Engn E Lansing MI 48824 USA

ISBN: (纸本)9781467312257;9781467312226

The Local Taylor Polynomial (LTP) method treats fields and sources as local analytic polynomials for rapid numerical solution of PDE's. Knowledge of the source polynomial would allow sources to be treated analytically in LTP formulas, since the derivatives follow directly for polynomial forms. Aside from idealized cases, such information is seldom available;however, use of macro-particles with finite polynomial shape functions for charge and current deposition can make analytic treatment possible for general cases. The macro-particle polynomial coefficients can be used directly in LTP solution formulas. This scheme allows one to choose a representation of particles that enables high fidelity with fewer particles compared to traditional particle methods, since the polynomials can include information such as transverse profile information from a beam, for example. This paper presents a simple polynomial form for representing macro-particles in numerical simulations. The particle shape must be continuous and differentiable to a specified order, bounded in size and magnitude, zero in magnitude and derivatives at the edges, symmetric, positive definite, with analytic coefficients. Two key properties for use in LTP will be demonstrated: zero derivatives at the particle boundary and analytically computable coefficients.

关键词： numerical algorithm Space Charge Poisson Equation Particle-in-Cell Plasma Simulation

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Atypical (Rare) Elements Detection - A Conditional Nonparametric Approach 5th

Atypical (Rare) Elements Detection - A Conditional Nonparame...

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5th International Symposium on Computational Modeling of Objects Represented in Images. Fundamentals, Methods and Applications (CompIMAGE)

作者： Kulczycki, Piotr Charytanowicz, Malgorzata Kowalski, Piotr A. Lukasik, Szymon Polish Acad Sci Syst Res Inst Ctr Informat Technol Data Anal Methods Warsaw Poland AGH Univ Sci & Technol Div Informat Technol & Syst Res Fac Phys & Appl Comp Sci Krakow Poland Catholic Univ Lublin Inst Math & Comp Sci Fac Math Comp Sci & Landscape Lublin Poland

ISBN: (纸本)9783319546094;9783319546087

This paper presents a ready-to-use procedure for detecting atypical (rarely occurring) elements, in one-and multidimensional spaces. The issue is considered through a conditional approach. The application of nonparametric concepts frees the investigated procedure from distributions of describing and conditioning variables. Ease of interpretation and completeness of the presented material lend themselves to the use of the worked out method in a wide range of tasks in various applications of data analysis in science and practice, engineering, economy and management, environmental and social issues, biomedicine, and related fields.

关键词： Rare element Atypical element Outlier Outlier detection Conditional approach Distribution free method numerical algorithm

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An algorithm for solving a two-person game with information transfer

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Computational Mathematics and Mathematical Physics 2006年第10期46卷 1699-1704页

作者： Mamatov, A.R. Samarkand Higher Military Motor Engineering Officer College Samarkand 703056 Uzbekistan

An algorithm for solving a two-person game with information transfer is proposed. The algorithm is based on a special linear programming problem. An example is given. © Nauka/Interperiodica 2006.

关键词： numerical algorithm Special linear programming problem Two-person game with information transfer

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