• Title/Summary/Keyword: Pole Placement

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LAR과 LQG의 안정강도 특성

  • 송택열
    • 전기의세계
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    • v.34 no.1
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    • pp.19-23
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    • 1985
  • LQG로 설계된 시스템이 LQR의 보증된 안정감도를 갖도록 $K_{f}$를 조정하는 한 LTR기법을 살펴보았다. q가 0이라면 필터는 실제의 프로세서 잡음의 Q = Q$_{0}$라는 점에서 최적이다. 그러나 q의 값이 증가함에 따라 $K_{f}$는 증가되고 x over ^에 따라서 시스템의 동특성은 관측에 의해 수정되는 항보다 상대적으로 소홀히 취급되어진다. 따라서 출력 y에 포함되어 지지않는 x의 추정치 xover^은 그 실제값과 차이가 많이 나타날 우려가 생긴다. 또한 관측잡음이 xover^에 크게 영향을 미치므로 잡음을 배척하는 필터의 성질도 모호해질 우려가 있다. 그러나 안정강도의 관점에서는 크게 개선되어진다는 것을 알 수 있다. 실제 설계에 있어서는 이 장점과 단점들을 잘 trade off시키는 단계가 필요할 것이다. 또한 추정치 xover^를 얻는데 정상상태의 칼만 필터를 이용하지 않고 극배치(Pole Placement)방법을 사용함도 고려할 수 있으며 이에 따른 LTR도 흥미있는 분야가 될 수 있을 것이다.다.

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Controller Design of a DC-DC Converter using an Optimal Control Theory (최적제어이론을 이용한 DC-DC 컨버터의 제어기 설계)

  • Lee, S.H.;Bae, E.K.;Sin, C.J.;Jeon, K.Y.;Jeon, J.Y.;Oh, B.H.;Lee, H.G.;Han, K.H.
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.421-423
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    • 2007
  • In this paper, The authors apply a state feedback control using an optimal control theory to improve the stability of the control and the dynamic response of the DC-DC converter system with a number of different loads. To execute a this state feedback control, The authors present the pole placement technique using Linear Quadratic Regulator(LQR) to optimally control the system. An integrator can also be included in the open-loop path in order to minimize the steady-state error of the output voltage. To confirm the superiority of the controller, The simulation results are presented.

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The determination of state feedback gains of XPTOS for disk drive servomechanism based on BESSEL filter prototype (XPTOS에 의한 디스크 드라이브 서보메커니즘의 구성시 BESSEL 필터 표준 함수에 근거한 상태피드백이득 결정)

  • Han, K.H.;Lee, J.S.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.980-983
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    • 1996
  • This paper presents the method of determining state feedback gains of XPTOS for disk drive servomechanism based BESSEL filter prototype. A typical disk drive actuator can be modeled as second order dynamics for low frequencies. However, the response at higher frequencies shows resonant behavior which cannot be easily modeled. XPTOS consists of the nonlinear control region and the linear control region. In the linear control region, the poles of a second order nominal model of plant must be properly relocated by pole placement technique to attenuate resonant modes at high frequency and to attain minimum time state transition. It is difficult to select position to satisfy this object because velocity feedback gain is subjected to position feedback gain in XPTOS. Here poles of BESSEL filter prototype are selected to determine state feedback gains of XPTOS. Simulation results for disk drive servomechanism using XPTOS having state feedback gains by the proposed method are presented.

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A Study on the $H_{\infty}$ Robust Controller for Adaptive Control-polynomial approach (적응제어를 위한 $H_{\infty}$ 강인제어기의 설계-다항식 접근방법)

  • Park, Seung-Kyu
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.936-938
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    • 1996
  • The $H_{\infty}$ robust controller is designed for on-line adaptive control application by using polynomial approach. The $H_{\infty}$ robust controllers for adaptive system were designed first by Grimble. But they have a problem that two minimum costs can exist and did not minimize the conventional $H_{\infty}$ cost function which is the $H_{\infty}$ sum of weighted sensitivity and complementary sensitivity terms. In this paper, the two minimum costs problem can be avoided and the conventional $H_{\infty}$ cost function is minimized by employing the Youla parameterization and polynomial approach at the same time. In addition pole placement is possible without any relation with weighting function.

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Design of a Discrete time Sliding mode controller Using a Pole-Placement (극 배치를 이용한 이산시간 슬라이딩 모드 제어기의 설계)

  • Chae, Su-Kyoung;Choi, Jae-Mo;Chung, Chung-Choo
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2182-2186
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    • 2003
  • 본 논문은 원하는 슬라이딩모드의 고유값을 얻을 수 있도록 하고 슬라이딩 평면에 수렴하는 속도를 결정하는 이산시간 슬라이딩 모드 제어기를 설계하는 방법을 제시한다. 기존에 연속시간에서만 적용되어졌던 Ackermann의 공식을 이산시간에서 슬라이딩 평면과 선형제어기를 설계 하는데 사용함으로써 원하는 폐루프의 고유값을 얻을 수 있도륵 하였으며 비선형제어기가 선형 제어기로 설계됨으로써 채터링 현상을 줄이도록 하였다. 또한 슬라이딩 평면 근처에 밴드를 도입함으로써 공진의 여기를 최소화하면서 빠른 응답을 갖도록 하였다. 제안된 방법의 효율성을 보여주기 위해 Simulation과 실험결과를 보여줬다.

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4 degrees of freedom control for attractive levitation module (자기부상 모듈의 4자유도 제어)

  • Kim, Kook-Hun;Kim, Choon-Kyung;Cho, Chang-Hee;Kim, Jong-Hoon;Park, Min-Kook
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.271-273
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    • 1993
  • One maglev vehicle is composed of 6 or 8 modules. Each module is composed of 4 staggered magnets attached to an aluminum bogie. In the view point of levitation control except propulsion-by LIM. 5 is the maximum degree of freedom to be controlled. But rolling control of the vhhicle depends on the bogie structure. We describe just anti-roll type bogie structure and 4 degree of freedom control is sufficient for levitation quality improvement. Multivariable pole-placement concept is used for controller design. Control experiment is performed on a specially designed test module as well as actual bogie system.

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Modeling and Anti-sway Control of a Harbor Container Crane (항만 컨테이너 크레인의 모델링과 흔들림 억제 제어 방법)

  • Lim, Chang-Jin;Choi, Chang-Ho;Moon, Sang-Ho;Yang, Byung-Hoon;Kim, Heung-Geun;Choi, Jong-Woo
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1465-1467
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    • 2005
  • In this paper, the harbor container crane which transports containers between a container ship and trucks in the harbor is modeled. The equation of motion is simplified for control purpose. The pole placement technique is used to control the crane to minimize load swing angle The objective of the control is to transfer the load as quickly as possible, while minimizing the amplitude of swing at the end of transfer. Computer simulations are provided.

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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.

Inverted Pendulum 제어를 위한 새로운 하이브리드 퍼지게인스케쥴링 제어기의 설계

  • 정병태;박재삼
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 1997.03a
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    • pp.235-246
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    • 1997
  • Hybrid fuzzy gain scheduling controller is composed of a PD control and a fuzzy control for taking the advantage of each scheme. The key structure of the hybrid fuzzy gain scheduling control scheme is so called a switch which calculates weighting values between the fuzzy controller and the PD controller. However, due to the requirement of the switch , the hybrid fuzzy gain scheduling control scheme needs extra fuzzy logic processing, thus the structure is complicated. and requires more calculation time. To eliminate the drawbacks, a new hybrid fuzzy gain scheduling control scheme is proposed in this paper. In the proposed scheme, the membership function, for calculating of weithting value, and the input and output membership functions are combined. Thus the proposed hybrid scheme does not require switch for calculation of weighting value, and as a result, the calculation time is faster and the structure is more simple than the existing hybrid controller. Computer simulation results for an inverted pendulum model under Pole-Placement PID controller, fuzzy gain scheduling controller,existing hybrid controller , and proposed hybrid controller are compared to demonstrate the good property of the proposed hybrid controller.

Position Control of an Electro-hydraulic Servo System with Sliding Mode (전기유압 서보시스템의 슬라이딩 모드 위치제어)

  • Huh, Jun Young
    • Journal of Drive and Control
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    • v.18 no.3
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    • pp.16-22
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    • 2021
  • The variable structure controller has the characteristic that while in sliding mode, the system moves along the switching plane in the vicinity of the switching plane, so it is robust to the parameter fluctuations of the plant. However, a controller based on a variable structure may not meet the desired performance when it is commanded to track any input or exposed to disturbances. To solve this problem, a sliding mode controller based on the IVSC approach excluding an integrator is proposed in this study. The proposed sliding mode control was applied to the position control of a hydraulic cylinder piston. The sliding plane was determined by the pole placement and the control input was designed to ensure the existence of the sliding mode. The feasibility of the modeling and controller was reviewed by comparing it with a conventional proportional control through computer simulation using MATLAB software and experiment in the presence of significant plant parameter fluctuations and disturbances.