• Title/Summary/Keyword: integral gain

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Robust stability of a two-degree-of-freedom servosystem incorporating an observer with multiplicative uncertainty (관측기를 갖는 2자유도 서보계의 승법적인 불확실성에 대한 강인한 안정성)

  • Kim, Young-Bok;Yang, Joo-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.1-8
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    • 1997
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem incorporating an observer to the structured and unstructured uncertainties of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is written in a linear matrix inequality (LMI) and independent of the gain of the integral compensator. This result impies that if the plant uncertainty is in the allowable set defined by the LMI condition, a high-gain integral compensation can be carried preserving robust stability to accelerate the tracking response.

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Output Feedback Stabilization using Integral Sliding Mode Control (적분 슬라이딩 모드 제어기를 이용한 출력 궤환 안정화)

  • Oh, Seung-Rohk
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.3
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    • pp.142-147
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    • 2003
  • We consider a single-input-single-output nonlinear system which can be represented in a normal form. The nonlinear system has a modeling uncertainties including the input coefficient uncertainty. A high-gain observer is used to estimate the states variables to reject a modeling uncertainty. A globally bounded output feedback integral sliding mode control is proposed to stabilize the closed loop system. The proposed integral sliding mode control can asymptotically stabilize the closed loop system in the presence of input coefficient uncertainty.

Robust Stability of Two-Degrees-of-Freedom Servosystem with Stricture and Unstructured Uncertainties

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • v.14 no.11
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    • pp.1198-1205
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    • 2000
  • A two-degrees-of-freedom servosystem for step-type reference signals has been preposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. this paper considers robust stability of the servosystem incorporating an observer against both structured and unstructured uncertainties of the plant. A condition is obtained as a linear matrix inequality, under which the servosystem is robustly stable independently of the gain of the integral compensator. This result implies that we can tune the gain to achieve a desirable transient response of the servpsystem preserving robust stability. An example is presented to demonstrate that under the robust stability condition, the transient response can be improved by increasing the gain of the integral compensator.

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Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • Kim, Yeong Bok
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.125-125
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • 김영복
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.57-62
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

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A Study on a Two-Degree-of-Freedom Servosystem Incorporating an Observer (관측기를 갖는 2자유도 서보계의 구성에 관한 고찰)

  • Kim, Y.B.
    • Journal of Power System Engineering
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    • v.3 no.1
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    • pp.50-54
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which integral compensation is effective only when there is modeling error for disturbance input. The present paper considers the design problem of 2DOF servosystem incorporating an observer. It is shown that if a state feedback gain and a observer gain satisfy a condition, the integral effect does not appear when modeling error or disturbance input exists. This result means that the servosystem does not behave as a 2DOF servosystem.

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Improvement of Microstep Characteristics in Hydrostatic Table with Ballscrew (볼스크류로 구동되는 유정압테이블의 미소이송특성 향상)

  • 황주호;박천홍;이찬홍;이후상
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.94-100
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    • 1998
  • Microstep characteristics largely depends on the variation of friction force induced by the geometric accuracy of ballscrew, guide rail and the control characteristics of servo unit. In this paper, for improving the microstep characteristics of hydrostatic table with ballscrew, microstep resolution according to the control mode of servo amplifier and response characteristic by the variation of integral gain are tested and compared. Relationship between micro motion behavior of hydrostatic table and the output torque is also tested for acquiring the effective variables on control characteristics. From the results. it is confirmed that the torque control mode has a advantage in microstep resolution, and more stable than velocity control mode in low feed rate, and by the increase of integral gain in the elastic motion realm, response characteristics can be improved.

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Study of Dynamic stiffness using labVIEW (laVIEW를 이용한 Dynamic stiffness에 관한 연구)

  • Lim, Jae-Hun;Park, Seung-Kyu;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1722-1723
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    • 2008
  • This paper present dynamic stiffness of servo motor using labVIEW PXI module. In speed control loop, we apply proportional gain and integral gain, using PID controller, respectively in servo motor and confirmed dynamic stiffness of servo motor varing each gain. Changing proportional gain and integral gain, confirm what effect in dynamic stiffness are change in frequency response..

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The Sensorless Speed Control of an Interior Permanent Magnet Synchronous Motor using an Adaptive Integral Binary Observer and a Fuzzy Controller (적분 바이너리 관측기와 퍼지 제어기를 이용한 IPMSM 센서리스 속도제어)

  • Lee, Hyoung;Kang, Hyoung-Seok;Jeong, U-Taek;Kim, Young-Seok;Shin, Jae-Hwa
    • Proceedings of the KIEE Conference
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    • 2006.07b
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    • pp.925-926
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    • 2006
  • This paper presents a sensorless speed control of an interior permanent magnet synchronous motor using an adaptive integral binary observer and fuzzy logic controller. In view of composition with a main loop regulator and an auxiliary loop regulator, the binary observer has a property of the chattering alleviation in the constant boundary layer. However, the steady state estimation accuracy and robustness are dependent upon the width of the constant boundary. In order to improve the steady state performance of the binary observer, the binary observer is formed by adding extra integral dynamics to the switching hyperplane equation. Also, because the conventional fixed gain PI controller are very sensitive to step change of command speed, parameter variations and load disturbance, the fuzzy logic controller is used to compensate a fixed gain PI controller. Therefore, a gain PI is fixed and the IPMSM is drived at another speed region. The effectiveness of the proposed the adaptive integral observer and the fuzzy logic controller are confirmed by experimental results.

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DEVELOPMENT OF A SIMPLE CONTROL ALGORITHM FOR SWIRL MOTOR CONTROLLER

  • Lee, W.T.;Kang, J.J.
    • International Journal of Automotive Technology
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    • v.7 no.3
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    • pp.369-375
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    • 2006
  • This paper describes a simple proportional and integral control algorithm for a swirl motor controller and its application. The control algorithm may be complicated in order to have desired performance, such as low steady state errors, fast response time, and relatively low overshoot. At the same time, it should be compact so that it can be easily implemented on a low cost microcontroller, which has no floating-point calculation capability and low computing speed. These conflicting requirements are fulfilled by the proposed control algorithm which consists of a gain scheduling proportional controller and an anti-windup integral controller. The mechanical friction, which is caused by gears and a return spring, varies very nonlinearly according to the angular position of the system. This nonlinear static friction is overcome by the proportional controller, which has a two-dimensional look up gain table. It has error axis and angular position axis. The integral controller is designed not only to minimize the steady state error but also to avoid the windup effect, which may be caused by the saturation of a motor driver. The proposed control algorithm is verified by use of a commercial product to prove the feasibility of the algorithm.