• 제목/요약/키워드: quadratic regulator

검색결과 153건 처리시간 0.023초

전자계산기에 의한 원자로최적제어 (Optimal Control of Nuclear Reactors by Digital Computer)

  • 천희영;박귀태
    • 전기의세계
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    • 제26권6호
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    • pp.66-71
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    • 1977
  • In this paper a method is presented for the optimal control of a nuclear reactor at equilibrium state by use of a digital computer. Using the optimal control theory, we formulate the control problem of the reactor as a discrete-time linear regulator problem. A quadratic performance index is defined. The effects of choosing different performance index weighting matrices to the feedback gain matrix and reactor transient responses are studied for the deterministic optimal control with all state variables accessible to measurement.

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가상 상태를 이용한 시간 지연 시스템의 슬라이딩 모드 제어 (Sliding Mode Control for Time-delay System using Virtual State)

  • 송영삼;권성하;박승규;오도창;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.341-341
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    • 2000
  • This paper presents a sliding mode control(SMC) design method for single input linear systems with uncertainties and time delay in the state. We define a sliding surface for the augmented system with a virtual state which is defined from the nominal system. We make a virtual state from optimal control input using LOR(Linear Quadratic Regulator) and the states of the nominal system. We construct a controller that combines SMC with optimal controller. The proposed sliding mode controller stabilizes on the overall closed-loop system.

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전력계통안정기를 위한 전-차수 관측기에 기준한 슬라이딩 모드 제어기 설계 : Part I (Design of Full-Order Observer-based Sliding Mode Controller for Power System Stabilizer : Part I)

  • 이상성;박종근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 D
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    • pp.1156-1158
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    • 1997
  • This paper presents the proposed full-order observer-based sliding mode power system stabilizer(FOOSMPSS) for finding unmeasurable state variables(torque angle, quadratic-axis transient voltage, exciter output voltage, voltage regulator output voltage and output voltage) by measuring angular velocity. The simulation results is shown by the comparison of the FOOPSS with the proposed FOOSMPSS.

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Control Moment Gyroscope의 상태되먹임 제어기 설계 (State Feedback Controller Design for Control Moment Gyroscope)

  • 김태연;유준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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    • pp.70-71
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    • 2007
  • This paper presents an application of LQR(Linear Quadratic Regulator) for experimental control moment gyroscope. To be specific, mathematical model is first derived based on the quaternion and Lagrange's equation, state feedback controller using LQR scheme is designed, and to show the stability of the scheme, experimental results are given.

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Guidance and Control System Design for the Descent Phase of a Vertical Landing Vehicle

  • Hoshino, Katsutoshi;Shimada, Yuzo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.47-52
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    • 1998
  • This study deals with guidance and control laws for an optimal reentry trajectory of a vertical landing reusable launch vehicle (RLV) in the future. First, a guidance law is designed to create the reference trajectory which minimizes propellant consumption. Then, a nonlinear feedback controller based on a linear quadratic regulator is designed to make the vehicle follow the predetermined reference trajectory, The proposed method is simulated for the first stage of the H-II scale rocket.

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내진성능 향상을 위한 능력스펙트럼법에 의한 능동제어기 설계 (Design of Active Mass Damper to Improve Seismic Performance Using Capacity Spectrum Method)

  • 김형섭;민경원
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 춘계 학술발표회논문집
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    • pp.259-266
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    • 2003
  • This paper begins with the seismic performance evaluation of an existing building, which exhibits the need of additional damping to reduce its response. Required damping ratio is found by capacity spectrum method to satisfy a target response. It is expressed with the design parameter of active mass damper by adopting Linear Quadratic Regulator, Optimal gains are obtained and then weighting matrices are found. Finally the seismic performance by added active mass damper is demonstrated, which satisfies the target response.

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Optimization of LQR method for the active control of seismically excited structures

  • Moghaddasie, Behrang;Jalaeefar, Ali
    • Smart Structures and Systems
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    • 제23권3호
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    • pp.243-261
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    • 2019
  • This paper introduces an appropriate technique to estimate the weighting matrices used in the linear quadratic regulator (LQR) method for active structural control. For this purpose, a parameter is defined to regulate the relationship between the structural energy and control force. The optimum value of the regulating parameter, is determined for single degree of freedom (SDOF) systems under seismic excitations. In addition, the suggested technique is generalized for multiple degrees of freedom (MDOF) active control systems. Numerical examples demonstrate the robustness of the proposed method for controlled buildings under a wide range of seismic excitations.

Feedback control strategies for active control of noise inside a 3-D vibro-acoustic cavity

  • Bagha, Ashok K.;Modak, Subodh V.
    • Smart Structures and Systems
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    • 제20권3호
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    • pp.273-283
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    • 2017
  • This paper presents and compares three feedback control strategies for active control of noise inside a 3-D vibro-acoustic cavity. These are a) control strategy based on direct output feedback (DOFB) b) control strategy based on linear quadratic regulator (LQR) to reduce structural vibrations and c) LQR control strategy with a weighting scheme based on structural-acoustic coupling coefficients. The first two strategies are indirect control strategies in which noise reduction is achieved through active vibration control (AVC), termed as AVC-DOFB and AVC-LQR respectively. The third direct strategy is based on active structural-acoustic control (ASAC). This strategy is an LQR based optimal control strategy in which the coupling between the various structural and the acoustic modes is used to design the controller. The strategy is termed as ASAC-LQR. A numerical model of a 3-D rectangular box cavity with a flexible plate (glued with piezoelectric patches) and with other five surfaces treated rigid is developed using finite element (FE) method. A single pair of collocated piezoelectric patches is used for sensing the vibrations and applying control forces on the structure. A comparison of frequency response function (FRF) of structural nodal acceleration, acoustic nodal pressure, and piezoelectric actuation voltage is carried out. It is found that the AVC-DOFB control strategy gives equal importance to all the modes. The AVC-LQR control strategy tries to consume the control effort to damp all the structural modes. It is seen that the ASAC-LQR control strategy utilizes the control effort more intelligently by adding higher damping to those structural modes that matter more for reducing the interior noise.

확률적 가진입력을 받는 건축구조물의 최대응답 제한을 위한 선형이차안정기의 최적설계 (Optimal Design of Linear Quadratic Regulator Restrict Maximum Responses of Building Structures Subject to Stochastic Excitation)

  • 박지훈;황재승;민경원
    • 한국지진공학회논문집
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    • 제5권6호
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    • pp.37-46
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    • 2001
  • 본 연구에서는 부분적으로 정상상태 확률과정으로 모델링할 수 있는 가진입력에 대하여 확률적으로 정의된 구조물의 최대응답에 대한 구속조건을 만족시키면서 제어력을 최소화 할 수 있는 최적설계 방법을 제안한다. 최적화 과정에서 안정성의 확보를 위해 제어기를 전상태 피드백 LQR제어기의 형태로 한정하였으며 가중치 행렬을 설계변수로 하고 Riccati 행렬을 매개변수로 하여 목적함수와 구속조건 함수 및 그 기울기를 계산한다. 제안된 방법을 통해 설계된 전상태 피드백 LQR제어기는 목표 응답성능을 만족시킬 수 있었고 이에 필요한 최대 제어력을 확률적으로 정량화하여 제어금기의 제작에 유용한 자료가 될 수 있도록 하였다. 상태변수 추정을 위해 독립적으로 설계된 Kalman 필터와 최적화된 LQR 제어기가 결합된 LQG 제어기 및 그 차수를 축소시킨 제어기는 모두 큰 성능의 저하가 없었으며 따라서 제안된 설계방법을 이용하여 구조물의 최대응답에 관한 구속조건을 만족시키는 출력 피드백 제어기 설계가 충분히 가능함을 확인하였다.

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PLL Equivalent Augmented System Incorporated with State Feedback Designed by LQR

  • Wanchana, Somsak;Benjanarasuth, Taworn;Komine, Noriyuki;Ngamwiwit, Jongkol
    • International Journal of Control, Automation, and Systems
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    • 제5권2호
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    • pp.161-169
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    • 2007
  • The PLL equivalent augmented system incorporated with state feedback is proposed in this paper. The optimal value of filter time constant of loop filter in the phase-locked loop control system and the optimal state feedback gain designed by using linear quadratic regulator approach are derived. This approach allows the PLL control system to employ the large value of the phase-frequency gain $K_d$ and voltage control oscillator gain $K_o$. In designing, the structure of phase-locked loop control system will be rearranged to be a phase-locked loop equivalent augmented system by including the structure of loop filter into the process and by considering the voltage control oscillator as an additional integrator. The designed controller consisting of state feedback gain matrix K and integral gain $k_1$ is an optimal controller. The integral gain $k_1$ related to weighting matrices q and R will be an optimal value for assigning the filter time constant of loop filter. The experimental results in controlling the second-order lag pressure process using two types of loop filters show that the system response is fast without steady-state error, the output disturbance effect rejection is fast and the tracking to step changes is good.