• 제목/요약/키워드: LQR-design method

검색결과 76건 처리시간 0.025초

LQR을 사용한 최적 PI-PD제어기 동조 (An Optimal Tuning of PI-PD Controller Via LQR)

  • 강근형;서병설
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
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    • pp.109-112
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    • 2005
  • This paper presents an optimal and robust PI-PD controller design method for the second-order systems both with dead time and without dead time to satisfy the design specifications in the time domain via LQR design technique. The optimal tuning method of PI-PD controller are also developed by setpoint weighting and neural networks. It is shown that the simulation results show significantly improved performance by proposed method.

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근의 이동범위를 고려한 LQR 제어기 설계 (Design of an LQR Controller Considering Pole's Moving-Range)

  • 박민호;홍석교;이상혁
    • 제어로봇시스템학회논문지
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    • 제11권10호
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    • pp.864-869
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    • 2005
  • This paper proposes a new method for LQR controller design. It is unsystematic and difficult to design an LQR controller by trial and error. The proposed method is capable of systematically calculating weighting matrices for desired pole(s) by the pole's moving-range in S-plane and the relational equation between closed-loop pole(s) and weighting matrices. This will provide much-needed functionality to apply LQR controller. The example shows the feasibility of the proposed method.

능동 자기베어링에서 LQR방법에 의한 PID제어기 설계 (PID Controller Design using LQR Method in the Active Magnetic Bearing)

  • 정형근;서병설
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 V
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    • pp.2509-2512
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    • 2003
  • The active magnetic bearing(AMB) has statey-state error of the displacement by the external force. This paper presents a PID controller design using LQR method in the active magnetic bearing to compensate for the displacement by the external force.

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극배치 특성을 갖는 LQR 제어기 설계 (LQR Controller Design with Pole-Placement)

  • 박문수;박덕기;홍석교;이상혁;박민호
    • 제어로봇시스템학회논문지
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    • 제13권6호
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    • pp.574-580
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    • 2007
  • This paper deals with LQR controller design method tor system having complex poles. The proposed method is capable of systematically calculating weighting matrices based on the pole's moving-range and the relational equation between closed-loop pole(s) and weighting matrices. The method moves complex poles to complex poles or two distinct real poles. This will provide much-needed functionality to apply LQR controller. The example shows the feasibility of the proposed method.

자코비안을 이용한 LQR 제어기 학습법 (A Learning Method of LQR Controller Using Jacobian)

  • 임윤규;정병묵
    • 한국정밀공학회지
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    • 제22권8호
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    • pp.34-41
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    • 2005
  • Generally, it is not easy to get a suitable controller for multi variable systems. If the modeling equation of the system can be found, it is possible to get LQR control as an optimal solution. This paper suggests an LQR learning method to design LQR controller without the modeling equation. The proposed algorithm uses the same cost function with error and input energy as LQR is used, and the LQR controller is trained to reduce the function. In this training process, the Jacobian matrix that informs the converging direction of the controller Is used. Jacobian means the relationship of output variations for input variations and can be approximately found by the simple experiments. In the simulations of a hydrofoil catamaran with multi variables, it can be confirmed that the training of LQR controller is possible by using the approximate Jacobian matrix instead of the modeling equation and this controller is not worse than the traditional LQR controller.

적분형 LQR 설계 기법을 이용한 능동자기베어링의 오버슈트 방지용 입력필터에 관한 연구 (A Study on the Prefilter to Protect Overshoot of Active Magnetic Bearing using Integral Type LQR-design Method)

  • 강성구;이기석;정준모;신우철;홍준희
    • 한국공작기계학회논문집
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    • 제16권2호
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    • pp.1-7
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    • 2007
  • Active magnetic bearing has been adopted to support the rotor by electomagnetic force without mechanical contact and lubrication process. A property of the control system for magnetic bearing is improved in accordance with making higher system gain. If the control system has integral part, an excessive overshoot response is shown by making higher integral gain. Therefore, this paper suggests a PID control system in order to eliminate the overshoot at the first stage and improve response characteristics to an impact disturbance at the status of levitation. The control gain was obtained by LQR design method which has the structure of I-PD control system in the state space. The PID control system containing prefilter has the same structure as the I-PD control system. Therefore, the PID control system adopted is able to be tuned by LQR design method. Finally, this paper shows the effect of the prefilter on the active magnetic bearing system through response experiments for levitation responses.

2관성 전동기 속도 시스템에서 LQR방법에 의한 I-PD 제어기 설계 (I-PD Controller Design using LQR Method in a Two-Mass Motor Drive System)

  • 박용성;서병설
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 합동 추계학술대회 논문집 정보 및 제어부문
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    • pp.46-49
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    • 2002
  • This paper presents I-PD controller design using LQR method in a two-inerita motor system to satisfy the design specification in time domain. And to provide a systematic LQ analysis for two-inerita motor system. The tuning parameters of LQ(I-PD) controller are determinated by the relationships between the design parameters of the overshoot and the settling time which are design specifications in time domain, and the weighting factors Q and R in LQR we can achieve the performance-robustness in time domain as well as the stability-robustness.

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슬라이딩 모드 제어기 설계를 위한 LQR방법을 이용한 최적 슬라이딩 표면 결정 (Optimal Sliding Surface using LQR Method For Design of Sliding Mode Controller)

  • 이상현;민경원;이영철;황재승
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.419-426
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    • 2003
  • An efficient procedure using LQR method for determining optimal sliding surfaces appropriate for different controller types is provided. The parametric evaluation of the dynamic characteristics of sliding surfaces is peformed in terms of SMC controller performance of single-degree-of-freedom(SDOF) systems. The control force limit is considered in this procedure. Numerical simulations for multi-degree-of-freedom(MDOF) systems verify the effectiveness of proposed method.

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PSCAD/EMTDC를 이용한 전압 Sag 보상을 위한 배전용 정지형 보상기의 LQR 제어기 설계 (Design of LQR Controller of DSIATCOM for Compensating Voltage Sag Using PSCAD/EMTDC)

  • 이명언;정수영;최규하
    • 에너지공학
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    • 제13권1호
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    • pp.68-74
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    • 2004
  • 본 논문에서는 전압 sag 보상을 위한 배전용 정지형 보상기 (DSTATCOM) 제어기를 설계하고 PSCAD/EMTDC로 확인하였다. DSIATCOM의 전류성분을 dq분해 해석을 통하여 상태방정식을 유도하고 부하모델과 네트워크의 제약조건을 고려하여 결합 모델을 제시하였다. 1선 지락 사고시 PI 제어기보다 LQR 제어기의 응답 특성이 우수함을 검증하고 전압 Sag가 개선됨을 보였다.

Linear Matrix Inequalities(LMIs)를 이용한 강인한 LQR/LQG 제어기의 설계 (Design of robust LQR/LQG controllers by LMIs)

  • 유지환;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.988-991
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    • 1996
  • The purpose of this thesis is to develop methods of designing robust LQR/LQG controllers for time-varying systems with real parametric uncertainties. Controller design that meet desired performance and robust specifications is one of the most important unsolved problems in control engineering. We propose a new framework to solve these problems using Linear Matrix Inequalities (LMls) which have gained much attention in recent years, for their computational tractability and usefulness in control engineering. In Robust LQR case, the formulation of LMI based problem is straightforward and we can say that the obtained solution is the global optimum because the transformed problem is convex. In Robust LQG case, the formulation is difficult because the objective function and constraint are all nonlinear, therefore these are not treatable directly by LMI. We propose a sequential solving method which consist of a block-diagonal approach and a full-block approach. Block-diagonal approach gives a conservative solution and it is used as a initial guess for a full-block approach. In full-block approach two LMIs are solved sequentially in iterative manner. Because this algorithm must be solved iteratively, the obtained solution may not be globally optimal.

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