• Title/Summary/Keyword: Closed loop equations

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Robustness Analysis of Closed-Loop Poles (페루프 극점의 견실성 해석)

  • Lee, Jung-Moon;Nam, Boo-Hee
    • Journal of Industrial Technology
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    • v.11
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    • pp.107-114
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    • 1991
  • This paper deals with the robustness of closed-loop poles of a linear time-invariant system with uncertain parameters. A new method is presented to calculate the perturbation of a pole-located region due to parameter uncertainties. A method to calculate allowable bounds on parameter uncertainties is also presented to retain closed-loop poles in a specified region. Based on Lyapunov equations and norm operations, they provide useful measures on the robustness of closed-loop poles. An example is given to illustrate proposed methods.

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Dynamic Modelling of Planar Mechanisms Using Point Coordinates

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1977-1985
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    • 2003
  • In the present study, the dynamic modelling of planar mechanisms that consist of a system of rigid bodies is carried out using point coordiantes. The system of rigid bodies is replaced by a dynamically equivalent constrained system of particles. Then for the resulting equivalent system of particles, the concepts of linear and angular momentums are used to generate the equations of motion without either introducing any rotational coordinates or distributing the external forces and force couples over the particles. For the open loop case, the equations of motion are generated recursively along the open chains. For the closed loop case, the system is transformed to open loops by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a multi-branch closed-loop system is chosen to demonstrate the generality and simplicity of the proposed method.

Position Control of a 3 dof Closed -loop Cylinder System Using ER Valve Actuators

  • Park, Seug-Bok;Cho, Myung-Soo
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.2
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    • pp.48-56
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    • 2001
  • This paper presents the position tracking control of a closed-loop cylinder system using electro-rheological (ER) valve actuators. After manufacturing three sets of cylindrical ER valves on the basis of Bingham model of ER fluid, a 3 dof(degree-freedom) closed-loop cylinder system having the heave, roll and pitch motions is constructed. The governing equations of motion are derived using Lagrange's equation and a control model is formulated by considering nonlinear characteristics of the system, Sliding mode controllers are the designed for these ER valve actuators in order to achieve position tracking control. The effectiveness of trajectory tracking control performance of the proposed cylinder system is demonstrated through computer simulation and experimental implementation of the sliding mode controller.

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Position Control of a 3 dof Closed-loop Cylinder System Using ER Valve Actuators (ER 밸브 작동기를 이용한 3자유도 폐회로 실린더 시스템의 위치제어)

  • 최승복;조명수
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.165-173
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    • 2000
  • This Paper presents the position tracking control of a closed-loop cylinder system using electro-rheological(ER) valve actuators. After manufacturing three sets of cylindrical ER valves on the basis of Bingham model of ER fluid, a 3 dof(degree-of-freedom) closed-loop cylinder system having the heave, roll and pitch motions is constructed. The governing equations of motion are derived using Lagrange's equation and a control model is formulated by considering nonlinear characteristics of the system. Sliding mode controllers are then designed fer these ER valve actuators in order to achieve position tracking control. The effectiveness of trajectory tracking control performance of the proposed cylinder system is demonstrated through computer simulation and experimental implementation of the sliding mode controller.

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Performance Analysis of Closed-Loop Production Systems with Random Processing Times and Machine Failures (랜덤가공시간과 기계고장이 존재하는 폐쇄형 생산시스템의 성능분석)

  • 백천현
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.04a
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    • pp.47-52
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    • 1999
  • In this paper we propose new approximate method for the performance analysis of closed-loop production system with unreliable machines and random processing times. The approximate method decomposes the production system consisting of K machines into a set of K subsystems, each subsystem consisting of two machines separated by a finite buffer. Then, each subsystem is analyzed by analyzing method n isolation. The population constraint of the closed-loop production system is taken into account by prescribing that the sum of average buffer level in the subsystems is equal to the number of customers in the closed-loop production system,. We establish a set of equations that characterizes unknown parameters of the servers in the subsystems. An iterative procedure is then used to determine the unknown parameters. Experimental results show that these methods provide a good estimation of the throughput.

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Performance Analysis for Closed-Loop Production Systems with Unreliable Machines and Random Processing Times (불완전한 기계 및 랜덤가공시간을 갖는 폐쇄형 생산시스템의 성능분석에 관한 연구)

  • Kim, H.G.;Paik, C.H.;Cho, H.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.2
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    • pp.240-253
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    • 1999
  • In this paper we propose new approximate methods for the performance analysis of closed-loop production systems with unreliable machines and random processing times. Each approximate method decomposes the production system consisting of K machines into a set of K subsystems, each subsystem consisting of two machines separated by a finite buffer. Then, each subsystem is analyzed by three different analyzing methods in isolation. The population constraint of the closed-loop production system is taken into account by prescribing that the sum of average buffer levels in the subsystems is equal to the number of customers in the closed-loop production system. We establish a set of equations that characterize unknown parameters of the servers in the subsystems. An iterative procedure is then used to determine the unknown parameters. Experimental results show that these methods provide a good estimation of the throughput.

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A Study on the Dynamic Analysis of Multibody System by the Relative Joint Coordinate Method (상대이음좌표방법을 이용한 다물체 시스템의 동역학적 해석에 관한 연구)

  • 이동찬;배대성;한창수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1974-1984
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    • 1994
  • This paper presents a relative coordinate formulation for constrained mechanical systems. Relative coordinates are defined along degrees of freedom of a joint. Graph theoretic analyses are performed to identify topological paths in mechanical systems. Cut constraints are generated to handle closed loop systems. Equations of motion are derived in the Cartesian space and transformed to the joint space. Relative generalized coordinates are corrected to satisfy the cut constraints by a parametrizatiom method.

Data-based Control for Linear Time-invariant Discrete-time Systems

  • Park, U. S.;Ikeda, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1993-1998
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    • 2004
  • This paper proposes a new framework for control system design, called the data-based control approach or data space approach, in which the input and output data of a dynamical system is directly and solely used to analyze or design a control system without the employment of any mathematical models like transfer functions, state space equations, and kernel representations. Since, in this approach, most of the analysis and design processes are carried out in the domain of the data space, we introduce some notions of geometrical objects, e.g., the openloop and closed-loop data spaces, which serve as the system representations in the data space. In addition, we establish a relationship between the open-loop and closed-loop data spaces that the closed-loop data space is contained in the open-loop data space as one of its subspaces. By using this relationship, we can derive the data-based stabilization condition for a linear time-invariant discrete-time system, which leads to a linear matrix inequality with a rank constraint.

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Controller Design of the Series Resonant Converter for Reducing Output Voltage Ripple (출력 전압 맥동감소를 위한 직렬공진형 변환기의 제어기 설계)

  • 김만고;한재원;윤명중
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.6
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    • pp.376-382
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    • 1988
  • A small-signal low-frequency disturbance of the input line affects the regulated-output voltage of the series resonant converter. To mitigate the detrimental effect, the output feedback PI-controller is employed. Small-signal linear models are represented to characterize the closed loop series resonant converter system. Design equations for the PI-controller which satisfy stability and percent ripple conditions are derived from the closed-loop linear model. Experimental results are presented which show excellent correlation with theory.

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Parametric Approaches for Eigenstructure Assignment in High-order Linear Systems

  • Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.419-429
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    • 2005
  • This paper considers eigenstructure assignment in high-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically very simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.