• Title/Summary/Keyword: 상태 행렬

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Estimation of the First Modal Participation Factor of a Shear Building under Earthquake Load (지진하중을 받는 전단구조물의 1차 모드참여계수 산정)

  • Hwang, Jae-Seung;Kim, Hong-Jin;Kang, Kyung-Soo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.1 s.41
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    • pp.25-32
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    • 2005
  • Seismic load is distributed to modes of a structure through the modal participation factor(MPF). The modal participation factor is essential to analyze structural response under earthquake load. MPF of a real structure differs from that of analytical mathematical model due to the error induced from analytical assumptions and during the construction. In this study, an identification method is proposed to calculate the 1st MPF of real structure based on $H^{\infty}$ optimal model reduction. The MPF is obtained from the relationship between observability and controllability matrices realized from system identification and those of a prototype 2-degree state space model. The proposed method is verified thorough numerical examples.

Development of An Unsteady Navier-Stokes Solver using Implicit Dual Time Stepping Method and DADI Scheme (내재적 이중시간 전진기법과 DADI 기법을 이용한 비정상 Navier-Stokes 코드개발)

  • Lee, Eun-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.9
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    • pp.34-40
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    • 2005
  • In present study, a two dimensional unsteady Navier-Stokes solver has been developed using the Diagonalized ADI (DADI) method and implicit dual time stepping method. The jacobian matrices in steady state Navier-Stokes equations are introduced from inviscid flux terms. The implicit treatment of artificial dissipation terms results in a block penta-diagonal matrix system and it becomes a scalar penta-diagonal matrix by diagonalization. In steady state equations about fictitious time, a new residual including a real time derivative term is introduced. From a converged solution about fictitious time, a real time unsteady solution can be obtained, which is called 'implicit dual time stepping method'. For code validation, an oscillating flat plate, a regular Karman vortices past a circular cylinder and shock buffeting around a bicircular airfoil problems are numerically solved. And they are compared with a theoretical solution, experiments and other researcher's computations.

A Mixed H2/H State Feedback Controller Based on LMI Scheme for a Wheeled Inverted Pendulum running on the Inclined Road (경사면을 주행하는 차륜형 역진자를 위한 선형행렬부등식 기반 혼합 H2/H 상태피드백 제어기 설계)

  • Lee, Se-Han;Rhee, Sang-Yong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.5
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    • pp.617-623
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    • 2010
  • In this research an LMI based mixed $H_2/H_{\infty}$ controller for a Wheeled Inverted Pendulum is designed and a numerical simulation of that is carried out. The Wheeled Inverted Pendulum is a kind of an inverted pendulum that has two equivalent points. To keep that the naturally unstable equivalent point, a controller should control the wheels persistently. Dynamic equations of the Wheeled Inverted Pendulum are derived with considering inclined road that is one of the representative road conditions. A Linear Matrix Inequality method is used to construct a controller that is able to stabilize the Wheeled Inverted Pendulum with considering the inclined road condition aggressively. Various numerical simulations show that the LMI based controller is doing well on not only flat road but also inclined road condition.

Identification of Time-invariant Parameters of Distributed Systems via Extended Block Pulse Operational Matrices (확장된 블록 펄스 연산 행렬을 이용한 분포정수계의 시불변 파라미터 추정)

  • Kim, Tae-Hoon;Lee, Seung;Kim, Jong-Boo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.82-88
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    • 2001
  • This paper considers the problem of the identification of the time invariant parameters of distributed systems. In general, the parameters are identified by using the CBPOM(Conventional Block Pulse Operational Matrices), but in this paper, the parameters ard identified by using the EBPOMS(Extended Block Pulse Operational Matrices) which can reduce the burden of operation md the volume of error caused by matrices multiplication. The simulation cloves the effectiveness of the proposed method.

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Analysis of Suspension State Matrix to Improve L/UL Performance (로드/언로드 성능향상을 위한 서스펜션 상태행렬의 해석)

  • Kim, Ki-Hoon;Lee, Young-Hyun;Park, Kyung-Su;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1272-1275
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    • 2007
  • The HDD (hard disk drive) using Load/Unload (L/UL) technology includes the benefits which are increased areal density, reduced power consumption and improved shock resistance than those of contact-start-stop (CSS). Dynamic L/UL has been widely used in portable hard disk drive and will become the key technology for developing the small form factor hard disk drive. Main design objectives of the L/UL mechanisms are no slider-disk contact or no media damage even with contact during L/UL, and a smooth and short load and unload process. In this paper, we focus on state matrix, pitch static attitude (PSA), roll static attitude (RSA), loading/unloading contour (LC/ULC), impact force and contact. Stability of slider is mainly determined by PSA and RSA. State matrix by PSA and RSA is also important indicator. Therefore we analyze state matrix of SFF HDD suspension through the LC/ULC.

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Determination of an Optimum Initial Cable Tension Force for Cable-Stayed Bridges using the Least Square Method (최소자승법을 이용한 사장교의 적정 케이블 장력 결정)

  • Park, Yong Myung;Cho, Hyun Jun
    • Journal of Korean Society of Steel Construction
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    • v.17 no.6 s.79
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    • pp.727-736
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    • 2005
  • This study presents a method of determining the optimum cable tension forces for the proper initial equilibrium state of a cable-stayed bridge using the least square method. The proposed method minimizes the errors, i.e., the differences, such as the deflection and the moments of the girder and the tower, between the target values from a continuous beam by considering the cable anchor point as supports of the girder and the responses obtained from the analysis of the entire cable-stayed bridge system. Especially, the proposed method can selectively control the adjustment of the tower moment, the girder moment, and the deflections by introducing the weighing matrix. Through numerical analysis and comparisons with existing studies, the usefulness and validity of the proposed method was verified.

Dynamic Nonlinear Analysis of Ocean Cables Subjected to Wave Forces (파력을 받는 해양케이블의 동적 비선형 해석)

  • 김문영;김남일;이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.4
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    • pp.173-188
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    • 1999
  • Kim et al.(I999) presented a non-linear finite element formulation of spatial ocean cables using multiple noded cable elements. The initial equilibrium state of ocean cables subjected to self-weights, support motions, and current forces was determined using the load incremental method and free vibration analysis were performed considering added mass, In this paper, the methods to generate regular and irregular waves and calculate wave forces due to these waves are discussed and challenging example problems are presented in order to investigate dynamic non-linear behaviors of ocean cables subjected to wave loadings.

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Response Characteristics of Aeroelastic Systems Using Robust Controller (강인한 제어기를 이용한 공탄성 시스템의 응답특성)

  • Na, Sungsoo;Jeong, In-Joo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.4 s.97
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    • pp.437-444
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    • 2005
  • This paper presents a robust aeroelastic control methodology of a two dimensional flapped wing system exposed to an incompressible flow field. A robust controller is designed using a linear matrix inequality (LMI) approach for the multiobjective synthesis. The design objectives are to achieve a mix of $H_{\infty}$ performance and H₂ performance satisfying constraints on the closed loop pole locations in the presence of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the aeroelastic response of 3-DOF flapped wing system.

Adaptive Optimal Control of a Rotary Inverted Pendulum Using Lagrange Interpolation and a Pole's Moving-Range (라그랑지 보간과 근의 이동범위를 이용한 회전형 도립진자의 적응 최적 제어)

  • Park, Minho;Han, Sang-Wan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.2
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    • pp.1066-1073
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    • 2014
  • This paper presents a new design method of optimal control of system which are changed the system parameters. The method used for this purpose are the Lagrange interpolation method and Pole's Moving range method. We selects a system within the scope of the changing the system parameters. Using pole's moving range we calculated the state weighting matrix of optimal control. The optimal controller is designed by Lagrange interpolation method of the state weighting matrix. We are compared with a traditional optimal controller and proposed method by simulation. The simulation showed that the proposed method is better control performance than traditional method of optimal controller.

Optimal Design of Linear Quadratic Regulator Restrict Maximum Responses of Building Structures Subject to Stochastic Excitation (확률적 가진입력을 받는 건축구조물의 최대응답 제한을 위한 선형이차안정기의 최적설계)

  • 박지훈;황재승;민경원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.6
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    • pp.37-46
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    • 2001
  • In this research, a controller design method based on optimization is proposed that can satisfy constraints on maximum responses of building structures subject to around excitation modeled by partially stochastic process. The class of controllers to be optimized is restricted to LQR. Weighting matrix on controlled outputs is used as design variable. Objective function, constraint functions and their gradients are computed by the parameterization of control gain with Riccati matrix. Full state feedback controllers designed by proposed optimization method satisfy various design objectives and their necessary maximum control forces are computed for the production of actuator. LQG controllers composed of Kalman filter and LQR designed by proposed method perform well with little deterioration. So it is possible to design output feedback controllers satisfying constraints on various maximum responses of structures.

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