• Title/Summary/Keyword: 극점배치

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Robust Pole Assignment of Linear Systems with Time-Varying Uncertainty (시변 불확정성을 갖는 선형 시스템의 강인 극점 배치)

  • Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.1
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    • pp.31-35
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    • 1999
  • In this paper, we consider the robust pole assignment and the upper bound of quadratic cost function for the linear systems with time-varying uncertainy. The considered uncertainties are both the norm bounded unstructured case and the structured case that has the matrix polytope type uncertain structure. We derve conditions that guarantee the robust pole assignment inside a disk in the L.H.P. and the robust stability. Also, we derive the upper bound of quadratic cost for thil pole assigned systems. Finally, we show the usefulness of our results by an example.

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Precision Stabilization Control of Servo-system by Using Friction Compensation (마찰보상을 통한 서어보제어계의 정밀 안정화 제어)

  • Kang, Min-Sig
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.109-115
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    • 1999
  • This paper presents a stabilization control designed to improve position stabilization performance of a position servo-system(turret) mounted on a manuvering platform(vehicle). In the consideration of the motion of the platform, a dynamic model of the stabilization system is derived and shows the viscous and stick-slip friction torques are the major source of stabilization errors. An extended generalized minimum variance control which consists of a feedforward disturbance compensation as well as a pole placement feedback control is suggested to reduce the stabilization errors caused from the friction disturbances. This modeling and control are applied to a small experimental set-up and the experimental results confirm the accuracy of the model and the effectiveness of the suggested control.

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Vibration-free Control of Double Integrator Typed Motor via Loop Transfer Recovery (루프 전달 회복을 통한 이중 적분 모터의 무진동 제어)

  • Suh, Sang-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.10
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    • pp.900-906
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    • 2010
  • This note proposes vibration-free motor control through modified LQG/LTR methodology. A conventional LQG/LTR method is a design tool in the frequency domain. However, unlike the conventional one, the proposed one is a time response based design method. This feature is firstly designed by parameterized settling time control gain through the target loop design procedure and the feature is secondly realized by loop transfer recovery. In order to show convergence to the target loop transfer functions, asymptotic behaviors of the open and the closed loop transfer functions are shown. At the conclusion, it is verified that the proposed method is robustly stable to parametric uncertainties through ${\mu}$-plot.

Design of Robust $H_{\infty}$ Controller with Regional Pole Placements for Congestion Control in ATM Networks (ATM 네트워크의 폭주제어를 위한 극점 배치를 갖는 견실 $H_{\infty}$ 제어기 설계)

  • Kim, Joon Ki;Jeong, Sang Seop;Park, Hong Bae
    • Proceedings of the IEEK Conference
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    • 2000.06a
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    • pp.127-130
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    • 2000
  • In this paper, we design the robust H$_{\infty}$ controller for congestion control in ATM (asynchronous transfer mode) networks with the variation of other higher priority sources(e.g., constant bit rate, variable bit rate). Since ABR (available bit rate) sources share the bottleneck node with other higher priority sources, we design the controller which guarantees robustness against time delay and disturbance. The proposed robust H$_{\infty}$ controller with regional pole placements can minimize the variation of the queue size at the predefined desired level. And we also show its robustness through simulation for the ATM networks with time delay and disturbance.

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Design of bandpass filter for flat passband and sharp steepness (평탄한 통과 대역과 급격한 경사도를 위한 대역통과필터 설계에 관한 연구)

  • Kang, Doo-Byung;Kim, Seong-Jin;Hwang, Chung-Ho;Chung, Chan-Soo
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1942_1943
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    • 2009
  • 무선통신 시스템의 소형화와 저가격, 고품질, 다기능 재료 및 첨단 가공 기술과 연계된 필터설계 및 제작 기술에 대한 연구가 활발히 진행 중이다. 그러나 무선통신 시스템은 주파수라는 한정된 자원을 사용하기 때문에 주파수 자원의 효율적 관리를 위한 규제나 방안이 필요하고. 이에 따라서 여러 가지 대책과 방안이 필요로 하고 있다. 그래서 필터의 성능개선을 위한 연구가 본질 적으로 중요하게 되었다. 본 논문은 체비세프(Chebyshev)필터와 버터워스(Butterworth)필터를 이용한 대역통과(band pass) 필터를 제안한다. 이 필터는 안정화된 통과대역과 빠른 주파수 응답을 얻기위해 6차 체비세프필터와 8차 버터워스필터를 결합 하였다. 측정된 대역통과 필터는, 차단 영역을 구분하는 스커트(skirt)특성은 날카롭게(sharp) 되었고 통과대역의 평탄도 또한 개선되어짐을 볼 수 있다. 제안된 필터의 중심주파수는 2.5GHz, 대역폭은 200MHz이고, 대역내 평탄도는 0.5dB, 경사도는 오차가 60dB일때 체비세프는 210MHz, 버터워스는 340MHz, 체비세프-버터워스는 290MHz가 되어 버터워스 보다 좋게 되었으며 극점의 배치도 안정적인 결과를 얻었다.

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The Control of Inverted Pendulum System Using Approximated Nonlinear Feedback Linearization (근사 비선형 궤환 선형화를 이용한 도립 진자 계통의 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.372-384
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    • 1993
  • The inverted pendulum system has interesting and challenging problems related to robotics and rocket attitude control view of both control theory and applications. Generally approximately linearized plant models are employed to control the system. In this paper a recently developed control theory based on differentiable manifold theory is used to control the inverted pendulum system which is typically nonlinear. First, the nonlinear model is transformed into the approximate feedback linearized system by nonlinear state feedback. Secondly, the linear controller is designed using the pole-placement method for the approximate feedback linearized plant model, the output of which are finally inverse-transformed to yield the control input to the actual system of the inverted pendulum. The proposed method is evaluated by the computer simulation to compare with the 3rd order linearization model.

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LQ-PID Controller Design for Speed Control of Induction Motor (유도전동기의 속도 제어를 위한 LQ-PID 제어기 설계)

  • 이충우;서병설
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.3
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    • pp.1-8
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    • 2004
  • This paper proposes an LQ-PID controller to reduce errors occurring between input and output speeds in braking or emergency braking and to solve delay of speed or the excessive overshoot problems occurring at the speed control of induction motor. The conventional LQ controller is a method that move the poles in locations that satisfy design specifications such as overshoot and settling time etc. by state-feedback. So it may not be able to satisfy the overshoot requirement in case of the existence of zero in the closed loop transfer function. To attack this zero-problem it is presented a new design methodology of LQ-PID controller by introducing an analytic technique to eliminate the effect of zeros on the closed loop transfer function.

A Study on the efficient control of an elastic manipulator moving in a vertical plane (수직면에서 작동하는 탄성 매니퓰레이터의 효율적인 제어에 관한 연구)

  • 강준원;이중섭;권혁조;오재윤;정재욱
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.318-322
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    • 1996
  • This paper presents a technique to control a robot which has a flexible manipulator moving in a vertical plane. The flexible manipulator is modeled as an Euler-Bernoulli beam. Elastic deformation is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID control technique. The proportional, integral and derivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and having a short settling time. The effectiveness of the developed control scheme is showed experimentally. In the position control experiment, three different end masses are used. The experimental results shows little overshoot, no steady state error, and less than 2.5 second settling time in case of having an end mass which is equivalent to 45% of the total system weight. Also the residual vibration of the end point is effectively controlled.

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A Study on the Modeling and Control of a Flexible One-Link Manipulator Moving in a Vertical Plane (수직면에서 회전운동 하는 단일 탄성링크를 가지는 매니퓰레이터의 모델링과 제어에 관한 연구)

  • Kim, Jongdae;Oh, Seokhyung;Kim, Kiho;Oh, Chaeyoun
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.11
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    • pp.132-142
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    • 1996
  • This paper presents a technique to model and control a manipulator which has a flexible link and moves in a vertical plane. The flexible link is modeled as an Euler-Bernoulli Beam. Elastic deformation of the flexible link is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. This paper presents a simple technique to improve the correctness of the developed model. The final model including the shortening effect due to elastic deformation correlates very well with experimental results. The free body motion simulation shows that two assumed modes for the representation of the elastic deformation is proper in terms of the model size and correctness. A control algorithm is developed using PID control technique. The proportional, integral and derivative control gains are determined based on dominant pole placement method with a rigid one-link manipulator. A position control simulation shows that the control algorithm can be used to control the position and residual oscillation of the flexible one-link manipulator effectively.

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PID Control of a flexible robot rotating in vertical plane (수직면에서 회전운동을 하는 탄성로봇의 PID 제어)

  • Kang, Junwon;Oh, Chaeyoun;Kim, Kiho
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.11
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    • pp.34-41
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    • 1997
  • This paper presents a technique to control a very flexible robot moving in a vertical plane. The flexible robot is modeled as an Euler-Bernoulli beam. Elastic deformation is approximated using the assmed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID cnotrol tech- nique. The proportional, integral and deivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and no steady state error, and short settling time. The effectiveness of the developed control scheme is showed in the hub angular diaplacement control experiment. Three different end masses are uned in the experiment. The experimental results show that developed control algorithm is very effective showing little overshoot, no steady state error, and less than 2.5 second settl- ing time in case of having an end mass which is equivalent to 45% of the manipulator mass. Also the experimental results show that the residual vibration fo the end point is effectively controlled.

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