• Title/Summary/Keyword: Numerical controllers

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Effect of feedback on PID controlled active structures under earthquake excitations

  • Nigdeli, Sinan Melih
    • Earthquakes and Structures
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    • v.6 no.2
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    • pp.217-235
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    • 2014
  • In this paper, different feedback control strategies are presented for active seismic control using proportional-integral-derivative (PID) type controllers. The parameters of PID controller are found by using an numerical algorithm considering time delay, maximum allowed control force and time domain analyses of shear buildings under different earthquake excitations. The numerical algorithm scans combinations of different controller parameters such as proportional gain ($K_p$), integral time ($T_i$) and derivative time ($T_d$) in order to minimize a defined response of the structure. The controllers for displacement, velocity and acceleration feedback control strategies are tuned for structures with active control at the first story and all stories. The performance and robustness of different feedback controls on time and frequency responses of structures are evaluated. All feedback controls are generally robust for the changing properties of the structure, but acceleration feedback control is the best one for efficiency and stability of control system.

The Appoication of $H_{infty}$ Controller to A Magnetic Levitation System ($H_{infty}$ 제어기의 자기부상 시스템에의 적용)

  • Kim, Jong-Moon;Kim, Seog-Joo;Park, Min-Kook;Choi, Young-Kiu
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.11
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    • pp.494-502
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    • 2002
  • In this paper, a suspension control of a magnetic levitation(MagLev) system with flexible rail is designed and presented. The numerical modelling for the electromagnetic system to be controlled as a target plant is carried out. And dome kinds of the hardware system including CPU board, AD board, DA board, sensors, and switching power amplifier are described. Using the derived model, the stabilizing controllers, such as PID and $H_{\infty}$ controller, for the MagLev system are designed using the MATLAB toolbox. The designed controllers are validated by some experimental results as well as numerical simulations. So it is shown that $H_{\infty}$ controller can give the better performance for the plant with flexible modes than PID controller.

Numerical Solution of All Stabilizing PID Controllers for Non-Parametric Model (비계수 모델에 대한 PID 안정화기 전체 셋의 수치 해)

  • Jin, Li-Hua;Lim, Yearn-Su;Kim, Keun-Sik;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.131-132
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    • 2007
  • This paper presents a numerical solution of PID controller design. The complete set of PID controllers stabilizing an LTI plant that solely determined from the knowledge of the frequency response and the number of unstable poles of the plant. An illustrative example is given to describe implementation of the design algorithm and exhibit graphical displays of the feasible regions of the design parameters.

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Numerical Solution of All Stabilizing First Order Controllers for Non-Parametric Model (비계수 모델에 대한 1차 안정화기 전체 셋의 수치 해)

  • Lim, Yearn-Su;Jin, Li-Hua;Kim, Keun-Sik;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.57-58
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    • 2007
  • This paper presents a numerical solution of first order controller design. The complete set of first order controllers that stabilizes for a LTI plant solely determined from the knowledge of the frequency response and the number of unstable poles of the plant. An illustrative example is given to describe the design procedure and exhibit graphical displays of the feasible regions of the design parameters.

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A review on numerical models and controllers for biped locomotion over leveled and uneven terrains

  • Varma, Navaneeth;Jolly, K.G.;Suresh, K.S.
    • Advances in robotics research
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    • v.2 no.2
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    • pp.151-159
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    • 2018
  • The evolution of bipedal robots was the foundation stone for development of Humanoid robots. The highly complex and non-linear dynamic of human walking made it very difficult for researchers to simulate the gait patterns under different conditions. Simple controllers were developed initially using basic mechanics like Linear Inverted Pendulum (LIP) model and later on advanced into complex control systems with dynamic stability with the help of high accuracy feedback systems and efficient real-time optimization algorithms. This paper illustrates a number of significant mathematical models and controllers developed so far in the field of bipeds and humanoids. The key facts and ideas are extracted and categorized in order to describe it in a comprehensible structure.

Eigenvalue Sensitivity Analysis of Discrete Power Systems Including Generator Controllers and TCSC (발전기 제어장치와 TCSC를 포함하는 이산 전력시스템의 고유치 감도해석)

  • Kim, Deok-Young
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.12
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    • pp.193-200
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    • 2010
  • In this paper, the eigenvalue sensitivity analysis is calculated in the power system which is including both generator controllers such as Exciter, PSS and thyristor controlled FACTS devices in transmission lines such as TCSC. Exciter and PSS are continuously operating controllers but TCSC has a switching device which operates non-continuously. To analyze both continuous and non-continuous operating equipments, the RCF method one of the numerical analysis method in discrete time domain is applied using discrete models of the power system. Also the eigenvalue sensitivity calculation algorithm using state transition equations in discrete time domain is devised and applied to a sampled system. As a result of simulation, the eigenvalue sensitivity coefficients calculated using discrete system models in discrete time domain are changed periodically and showed different values compared to those of continuous system model in time domain by the effect of periodic switching operations of TCSC.

Compliant motion controllers for kinematically redundant manipulators

  • Park, Jonghoon;Chung, Wan-Kyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.456-459
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    • 1995
  • The problem of compliant motion control using a redundant manipulator is addressed in this article. Specifically, a hybrid-control type and impedance-control type controllers are extended to general redundant manipulators based on the kinematically decomposed and geometrically compatible modeling of its joint space. In the case of the hybrid controller, it leads to the linear and decoupled closed-loop dynamics in the three motion spaces, that is the motion-controlled, force-controlled, and the null motion-controlled spaces of the redundant manipulator. When the proposed impedance controller is applied, the decoupled impedance models in three motion spaces are obtained. The superiority of the proposed controllers is verified with the numerical experiments.

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Kalman Filter Based Optimal Controllers in Free Space Optics Communication

  • Li, Zhaokun;Zhao, Xiaohui
    • Journal of the Optical Society of Korea
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    • v.20 no.3
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    • pp.368-380
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    • 2016
  • There is no doubt that adaptive optics (AO) is the most promising method to compensate wavefront disturbance in free space optics communication (FSO). In order to improve the performance of the AO system described by discrete-time linear system model with time-delay and implicit phase turbulent model, new controllers based on a Kalman filter and its extensions are proposed. Based on the standard Kalman filter, we propose a fading memory filter to deal with the ruleless strong interference; sequential and U-D filters are applied to reduce implementation complexity for the embedded controllers. Theoretical analysis and the numerical simulations show that the proposed fading memory filter can upgrade the performance for AO systems in consideration of the unforeseen strong pulse interference, and the sequential and U-D filters perform well compared with a Kalman filter.

Estimation of the Asymptotic Stability Region for the Uncertain Variable Structure Systems with Bounded Controllers (크기가 제한된 제어기를 갖는 가변구조제어 시스템의 점근 안정 영역 추정)

  • 최한호;국태용
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.8
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    • pp.616-622
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    • 2003
  • This paper deals with the problem of estimating the asymptotic stability region(ASR) of uncertain variable structure systems with bounded controllers. Using linear matrix inequalities(LMIs) we estimate the ASR and show the exponential stability of the closed-loop control system in the estimated ASR. We give a simple LMI-based algorithm to get estimates of the ASR. We also give a synthesis algorithm to design a switching surface which will make the estimated ASR big. Finally, we give numerical examples in order to show that our method can give better results than the previous ones for a certain class of uncertain variable structure systems with bounded controllers.

LOW-DRER $H_\infty$ CONTROLLERS WITH THE MIXWED SENSITIVITY PROBLEMS

  • Qi, Run-De;Tsuji, Teruo
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.455-460
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    • 1994
  • This paper presents a simple methodology for reducing the order of H$_{\infty}$ controllers in the mixed sensitivity control problems. The key point of this methodology is to transform the generalized plant expression to new one, where the control object and the weighting functions for the sensitivity function may have some poles on the imaginary axis. So that, this methodology makes it possible to use the standard method to solve the general H$_{\infty}$ design problems about the mixed sensitivity problems, even for a servo system or a oscillatory system. We derive that the order of H$_{\infty}$ controllers designed by this methodology may be reduced to n$_{p}$ where n$_{p}$ is the order of the denominator of the control object. It is clear that n$_{p}$ is lower than n$_{p}$ + n$_{s}$, which is the order of H$_{\infty}$ controllers obtained by the ordinary H$_{\infty}$ design method up to now, where n$_{s}$ is the order of the denominator of the weighting function for sensitivity. Finally, a numerical example is given to illustrate the results..lts.ts..lts.lts.

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