• Title/Summary/Keyword: Nonlinear equations

Search Result 2,291, Processing Time 0.029 seconds

Anti-Swing Control of Overhead Crane System using Sum of Squares Method (천정형 크레인의 흔들림 억제제어에 관한 SOS 접근법)

  • Hong, Jin-Hyun;Kim, Cheol-Joong;Chwa, Dongkyoung
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.62 no.3
    • /
    • pp.407-413
    • /
    • 2013
  • This paper proposes anti-swing control of overhead crane system using sum of squares method. The dynamic equations of overhead crane include nonlinear terms, which are transformed into polynomials by using Taylor series expansion. Therefore the dynamic equation of overhead crane can be changed to the system of polynomial equation. On the basis of polynomial dynamics of crane system, we propose the Sum of Squares (SOS) conditions considering the input constraints. In addition, control gains are obtained by numerical tool which is called by SOSTOOL. The effectiveness of the proposed method is demonstrated by numerical simulation.

Optimum Location of Electrode of Cathodic Protection System by using Boundary Element Method (BEM을 이용한 Cathode 방식 시스템에서 전극 위치 최적화)

  • Lee, Kwang-Ho;Chung, Koon-Seok;Baik, Dong-Chul;Cho, Yun-Hyun
    • Proceedings of the KIEE Conference
    • /
    • 2000.07b
    • /
    • pp.772-774
    • /
    • 2000
  • The objective of a cathodic protection system (CP) is to protect the buried metallic structure against the corrosion caused by chemical reaction between the buried structure and the surrounding medium, such as soil. This paper presents a boundary element application to determine the optimal impressed current densities in a cathodic protection system. The potential within the electrolyte is described by the Laplace's equation with nonlinear boundary conditions which are enforced based on experimentally determined electrochemical polarization curves. The optimal impressed current densities are determined in order to minimize the power supply for protection. The solution is obtained by using the conjugate gradient method in which the governing equations and the protecting conditions are taken into account by the penalty function method. Numerical example are presented to demonstrate the practical applicability of the proposed method.

  • PDF

Design of Magnetic Fluid Linear Pump (자성유체를 이용한 Linear Pump의 설계와 제작)

  • Park, Gwan-Soo;Park, Sang-Ho
    • Proceedings of the KIEE Conference
    • /
    • 1999.07a
    • /
    • pp.37-39
    • /
    • 1999
  • In this paper, the magnetic fluid linear pump is designed. Inside the small tube, magnetic fluid is shielded with thin rubber protector. The magnetic fluid activated by traveling pulses of magnetic field drags the water inside the pump. The iterative algorithm for the shape of magnetic fluid is presented by using nonlinear finite element method and Navier-Stokes equations. The computed curvature of fluid under the magnetic field and the gravitational force is agreed well with photograph image. The dimension and electric configurations of the magnetic linear pump are optimized and the results are compared with measurements.

  • PDF

Excavation Control of a Hydraulic Excavator with Fuzzy Logic Controller (퍼지 제어기를 이용한 유압 굴삭기의 굴삭 제어)

  • Seo, Sam-Jun;Kim, Dong-Sik;Park, Gwi-Tae
    • Proceedings of the KIEE Conference
    • /
    • 2000.07d
    • /
    • pp.2763-2765
    • /
    • 2000
  • The interactions between the excavation tool and the excavation environment are dynamic, unstructured and complex. In addition. operating modes of an excavator depend on working conditions, which makes it difficult to derive the exact mathematical model of excavator. Even after the exact mathematical model is established, it is difficult to design of a controller because the system equations are highly nonlinear and the state variable are coupled. The objective of this study is to design a fuzzy logic controller (FLC) which controls the position of excavator's attachment. This approach enables the transfer of human heuristics and expert knowledge to the controller. Expeiments are carried out to check the performance of the FLC.

  • PDF

Speed control of vector-controlled BLDC motor using Neural Network (신경회로망을 이용한 벡터제어 BLDC 전동기의 속도제어)

  • Cho, Sung-Kuen;Han, Woo-Yong;Lee, Chang-Goo;Kim, Sung-Jung
    • Proceedings of the KIEE Conference
    • /
    • 2000.07b
    • /
    • pp.1126-1129
    • /
    • 2000
  • The equivalent transformation of a brushless DC motor into an separately exited DC motor has been possible with the vector control technique. Vector control is an effective technique for controlling variable speed drives of brushless DC motors. Conventional vector controllers, however, suffer from electrical machine parameter variations because these controllers depend on the parameters. This paper presents the vector control of brushless DC motor using a neural network. In the proposed method, a neural network is employed as on-line estimator of the nonlinear dynamic equations of brushless DC motor. The neural network based vector controller has the advantage of robustness against machine parameter variations as compared with conventional vector controller The simulation results using Matlab/Simulink verify the useful of the proposed method.

  • PDF

Nonlinear System control Using the Runge-Kutta Neural Network (Runge-Kutta 신경망을 이용한 비선형 시스템의 제어)

  • Lee, Si-Il;Kim, Dong-Hee;Kim, Sung-Sik;Lee, Young-Seog;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
    • /
    • 2000.07d
    • /
    • pp.2699-2701
    • /
    • 2000
  • This paper presents the Runge-Kutta neural networks(RKNN's) using the Runge-Kutta approximation method and the orthogonal function for control of unknown dynamical systems described by ordinary differencial equations in high accuracy. These subnetworks of RKNN's are based on orthogonal function. Computer simulations show the usefulness of the proposed scheme.

  • PDF

NLP Formulation for the Topological Structural Optimization (구조체의 위상학적 최적화를 위한 비선형 프로그래밍)

  • Bark, Jaihyeong;Omar N. Ghattas;Lee, Li-Hyung
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1996.04a
    • /
    • pp.182-189
    • /
    • 1996
  • The focus of this study is on the problem of the design of structure of undetermined topology. This problem has been regarded as being the most challenging of structural optimization problems, because of the difficulty of allowing topology to change. Conventional approaches break down when element sizes approach to zero, due to stiffness matrix singularity. In this study, a novel nonlinear Programming formulation of the topology Problem is developed and examined. Its main feature is the ability to account for topology variation through zero element sizes. Stiffness matrix singularity is avoided by embedding the equilibrium equations as equality constraints in the optimization problem. Although the formulation is general, two dimensional plane elasticity examples are presented. The design problem is to find minimum weight of a plane structure of fixed geometry but variable topology, subject to constraints on stress and displacement. Variables are thicknesses of finite elements, and are permitted to assume zero sizes. The examples demonstrate that the formulation is effective for finding at least a locally minimal weight.

  • PDF

Behavior of Tapered Columns with Initial Imperfection (Initial Imperfection을 갖는 변단면 기둥의 거동 해석)

  • 이병구;모정만
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1996.04a
    • /
    • pp.19-26
    • /
    • 1996
  • The main purpose of this paper is to investigate a more accurate behavior analysis of tapered column with initial imperfection. The nonlinear differential equations governing the deflected shapes of the tapered column with initial imperfection are derived by large deflection theory and solved numerically using the Runge-Kutta method and Regula-Falsi method. Three kinds of cross-sectional shape with simply supported end constraint are considered in numerical examples. The load versus displacement curves including the left and right end rotations are presented in figures. The effect of cross-sectional shapes on deflected shape is analyzed, and the deflected shapes of column for several initial imperfections are shown in figure.

  • PDF

Path-dependant Nonlinear Analysis of RC shell Structures using Volume Control Method (체적제어법을 이용한 철근콘크리트 쉘구조물의 경로의존 비선형 해석)

  • 송하원;이준희;변근부
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2003.10a
    • /
    • pp.585-590
    • /
    • 2003
  • To overcome the drawbacks of conventional load control method and displacement control method, the so-called volume control method was developed by utilizing a pressure node added into a finite shell element. In this study, an improved volume control method which can analyze path-dependant behaviors of RC shell structures subjected to cyclic loading effectively is developed. RC shell structures are discretized with layered shell elements and in-plane two dimensional constitutive equations for concrete and reinforcements are implemented for each layer of the shell elements. Validity of the so-called path dependant volume control method is also verified by comparing analysis results with other data including experimental results.

  • PDF

Nonlinear Dynamic Analysis of Reinforced Concrete Containment Panel (철근콘크리트 격납 패널의 비선형 동적해석)

  • 박재근;김태훈;신현목
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2003.10a
    • /
    • pp.591-598
    • /
    • 2003
  • The purpose of this study is to investigate the seismic behavior of reinforced concrete Containment Panel subjected to earthquake motions. A computer program, named RCAHEST(Reinforced Concrete Analysis in Higher Evaluation System Technology), was used for the analysis of reinforced concrete structures. A 4-node flat shell element with drilling rotational stiffness is used for spatial discretization. The layered approach is used to discretize behavior of concrete and reinforcement through the thickness. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. The smeared crack approach is incorporated. Solution of the equations of motion is obtained by numerical integration using Hither-Hughes-Taylor(HHT) algorithm. The proposed numerical method for the seismic analysis of reinforced concrete Containment panel is verified by comparison of analysis results with reliable experimental results.

  • PDF