• 제목/요약/키워드: reduced-order controller

검색결과 235건 처리시간 0.024초

주파수 영역에서의 모델 축소를 이용한 PID 제어기의 동조 알고리즘 (Tuning Algorithm for PID Controller Using Model Reduction in frequency Domain)

  • 조준호;최정내;황형수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2114-2116
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    • 2001
  • Model reduction from high order systems to low order systems in frequency domain is considered four point (${\angle}$G(jw)=0, - ${\pi}/2$, ${\pi}$, and -3${\pi}$/2) instead of two point (${\angle}$G(jw) = - ${\pi}$/2,- ${\pi}$) of existing method in Nyquist curve. The Performances of reduced order model by proposed approach is similar to original model. In this paper, we proposed a new tuning algorithm for PID controller using model reduction in frequency domain. Simulations for some examples with varies dynamic characteristics are provided to show the effectiveness of the proposed tuning algorithm for PID controller using model reduction.

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A Single DOF Magnetic Levitation System using Time Delay Control and Reduced-Order Observer

  • Park, Jung-Soo;Baek, Yoon-Su
    • Journal of Mechanical Science and Technology
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    • 제16권12호
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    • pp.1643-1651
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    • 2002
  • Magnetic levitation systems are required to have a large operating range in many applications. As one method to solve this problem, Time Delay Control (TDC) is applied to a single-axis magnetic levitation system in this paper A reduced-order observer is utilized to estimate states excluding measurable states in the control law. The system consists of a square air-core solenoid and a circular permanent magnet attached on a plastic ball. Theoretical magnetic forces of the system are obtained on the basis of the location of the magnet around the solenoid. The magnetic levitation force is obtained by the experiment, and then compared with the theoretical one. As the results of the control experiments, the nonlinear controller (TDC : 1-2 ㎜) has a larger operating range than the linear controller (PD control : 1-1.4 ㎜), and is superior to linear. control in the robustness to the modeling uncertainty and the performance of the disturbance rejection.

반복 선형행렬부등식을 이용한 축소차수 제어기 설계 (Reduced-order controller design via an iterative LMI method)

  • 김석주;권순만;이종무;김춘경;천종민
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2242-2244
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    • 2004
  • This paper deals with the design of a reduced-order stabilizing controller for the linear system. The coupled lineal matrix inequality (LMI) problem subject to a rank condition is solved by a sequential semidefinite programming (SDP) approach. The nonconvex rank constraint is incorporated into a strictly linear penalty function, and the computation of the gradient and Hessian function for the Newton method is not required. The penalty factor and related term are updated iteratively. Therefore the overall procedure leads to a successive LMI relaxation method. Extensive numerical experiments illustrate the proposed algorithm.

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$H_{\infty}$ 성능을 고려한 흡인식 자기부상 시스템의 PID 제어기 설계 (A PID Controller Design for an Attracton Type Magnetic Levitation System Considering $H_{\infty}$ Performance)

  • 김석주;김춘경;김종문;박민국
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2120-2122
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    • 2001
  • This paper describes a PID controller for an attraction type magnetic levitation system considering $H^{\infty}$ performance. PID controllers are a kind of fixed structure reduced order controllers. Using change of variables a reduced order control problem can be recast into a static output feedback control problem and can be solved efficiently by LMI(Linear Matrix Inequality) method. In this paper, cone complementarity method is adopted and the simulation shows good results.

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외란 관측기 기반의 이산시간 전동기 추종제어 (Discrete Time Tracking Control of Motor Based on Disturbance Observer)

  • 전용호;강정욱
    • 한국전자통신학회논문지
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    • 제16권3호
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    • pp.511-518
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    • 2021
  • 전동기의 좋은 추종 성능을 얻기 위해서는 외란 관측기가 포함되어 외란에 대응할 수 있는 제어기를 설계하는 것이 필요하다. 전동기의 외란 관측기는 1차 저역통과 필터를 기반으로 부하 토크과 역기전압을 추정하도록 설계하였다. 외란 관측기와 제어기의 상호관계를 비교하고, 개선된 제어 성능을 얻기 위하여 PI 제어기와 IP 제어기를 설계하였다. 설계된 관측기와 제어기의 성능을 확인하고자 120 [W]급의 BLDC 전동기에 적용하였다. 그 결과 오버슈트가 줄어들며, 정상상태 오차가 영으로 수렴하는 것을 확인할 수 있다.

3자유도 능동형 제진 시스템의 불확실성과 제어 (Uncertainties and control of a 3-DOF active vibration isolation system)

  • 김화수;박희재;문준희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.925-933
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    • 2006
  • Using the physics-based model for the vibration isolation system, the model uncertainties are described. With the model including parameter perturbations, the robust controller to meet the robust performance and stability is designed through $\mu$-synthesis by DK-iteration. The order of controller is reduced by virtue of Hankel norm approximation technique to allow the efficient implementation in the real-time experimental environment without any performance degradation. The performance of the reduced $\mu$-controller is accessed in comparison with the original one. The experiments validate the superiority of the proposed control scheme against the model uncertainties and its applicability with varying payload.

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3자유도 능동형 제진 시스템의 불확실성과 제어 (Uncertainties and Control of a 3-DOF Active Vibration Isolation System)

  • 김화수;박희재;조영만;문준희
    • 한국소음진동공학회논문집
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    • 제16권12호
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    • pp.1262-1271
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    • 2006
  • Using the physics-based model for the vibration isolation system, the model uncertainties are described. With the model including parameter perturbations, the robust controller to meet the robust performance and stability is designed through $\mu$-synthesis by DK-iteration. The order of controller is reduced by virtue of Hankel norm approximation technique to allow the efficient implementation in the real-time experimental environment without any performance degradation. The performance of the reduced $\mu$-controller is accessed in comparison with the original one. The experiments validate the superiority of the proposed control scheme against the model uncertainties and its applicability with varying payload.

해석적 Bode 방법에 의한 직접구동형서보밸브의 고전적 제어기 설계 (Classical Controller Design of Direct Drive Servo Valve Using Analytical Bode Method)

  • 이성래;최현영;문의준
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.507-514
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    • 2001
  • Direct drive servovalve(DDV) is a kind of one-stage valve since the rotary motion of DC motor is directly transferred to the linear motion of valve spool through the link. Since the structure of DDV is simple, it is less expensive, more reliable and offers reduced internal leakage and reduced sensitivity to fluid contamination. However, the flow force effect on the spool motion is significant such that it induces large steady-state error in a step response. If the proportional control gain is increased to reduce the steady-state error, the system becomes unstable. In order to satisfy the system design requirements, the classical controller is designed using the analytical Bode method.

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탄성관절을 갖는 로봇 매니퓰레이터의 안정한 합성제어기 설계 (A Stable Composite Controller Design for Flexible Joint Robot Manipulators)

  • 이만형;백운보
    • 대한기계학회논문집
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    • 제17권2호
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    • pp.385-392
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    • 1993
  • This paper presents a new stable composite control law for the flexible joint robot manipulators, which incorporate an additional stabilizing control law with the sliding property. The singularly perturbated models in this paper include inertia moments which are functions or the deformations of actuators as well as link positions. The values of renewedly defined fast controller variables are computer from the corrected reduced-order model without additional computational loads. Proposed schemes are compared with the conventional one. The simulations for 2 DOF flexible joint manipulator show that the proposed schemes are more stable than the conventional scheme, and especially effective for the manipulator with high joint-flexibilities.

컴플렉스법에 의한 직접구동형서보밸브의 진상-지상 제어기 설계 (Lead-Lag Controller Design of Direct Drive Servo Valve Using Complex Method)

  • 이성래
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1590-1595
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    • 2003
  • Direct drive servovalve(DDV) is a kind of one-stage valve since the rotary motion of DC motor is directly transferred to the linear motion of valve spool through the link. Since the structure of DDV is simple, it is less expensive, more reliable and offers reduced internal leakage and reduced sensitivity to fluid contamination. However, the flow force effect on the spool motion is significant such that it induces large steady-state error in a step response. If the proportional control gain is increased to reduce the steady-state error, the system becomes unstable. In order to satisfy the system design requirements, the lead-lag controller is designed using the complex method that is one kind of constrained direct search method.

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