• Title/Summary/Keyword: LQR control

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LQR 제어 기법을 적용한 수면 근처에서의 수중운동체 심도 제어 (Depth Control of a Submerged Body Near the Free Surface by LQR Control Method)

  • 김동진;이기표;최진우;이성균
    • 대한조선학회논문집
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    • 제46권4호
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    • pp.382-390
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    • 2009
  • The submerged body near the free surface is disturbed by the 1st and 2nd order wave forces, which results in unstable movements when no control is applied. In this paper, the vertical motions of the submerged body are analyzed, and the time-variant nonlinear system for the vertical motions of the submerged body is transformed to the time-invariant linear system in state space. Next, depth controller of the submerged body is designed by using LQR control, one of the modern optimal control technique. Numerical simulation shows that effective depth controls can be achieved by LQR control.

비한정 Q를 갖는 EALQR의 주파수역 특성 해석 (Frequency domain properties of EALQR with indefinite Q)

  • 서영봉;최재원
    • 제어로봇시스템학회논문지
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    • 제5권6호
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    • pp.676-682
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    • 1999
  • A study which develops a controller design methodology that has flexibility of eigenstructure assignment within the stability-robustness contraints of LQR is requried and has been performed. The previously developd control design methodology, namely, EALQR(Eigenstructure Assignment/LQR) has better performance than that of conventional LQR or eigenstructure assignment but has a constraint for the weitgting matrix in LQR, which could be indefinite for high-order system. In this paper, the effects of the indefinite Q in EALQR on the frequency domain properties are analyzed. The robustness criterion and quantitative frequency domain properties are also resented. Finally, the frequency domain properties of EALQR has been analyzed by applying to a flight control system design example.

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AMD가 설치된 실험모델에 대한 LQR과 H$_2$제어기의 설계 및 성능비교 (Performance of LQR and H$_2$ Controller for an Experimentally-Identified Structure with AMD)

  • 민경원;이승준;주석준;김홍진;박민규
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.461-470
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    • 2003
  • This paper discusses a time domain controller, LQR, and a frequency domain controller, H₂, for optimal control of civil structures under seismic loads. Numerical simulations are performed on a three-story structure with Active Mass Driver (AMD), which is experimentally identified. Control effectiveness of each controller for the suppression of third floor acceleration responses is investigated when the similar maximum control force is used. Simulation results indicate that LQR is effective for acceleration response reduction while H₂ controller is efficient for utilizing control force.

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웨이블렛 신경회로망 제어기를 이용한 비선형 시스템의 위치 제어에 관한 연구 (The Study on Position Control of Nonlinear System Using Wavelet Neural Network Controller)

  • 이재현
    • 한국정보통신학회논문지
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    • 제12권12호
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    • pp.2365-2370
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    • 2008
  • 본 논문에서는 비선형 시스템의 위치 제어를 위하여 웨이블렛 신경회로망 제어기를 구성하였으며, 웨이블렛 신경회로망은 LQR 제어기의 성능을 향상 시킬 목적으로 사용한다. 불안전한 비선형 시스템을 선형화 시키고 안정화된 선형 시스템을 만들기 위하여 LQR를 사용하며, 외란에 효과적으로 적응하기 위하여 웨이블렛 신경회로망 제어기를 사용한다. 이 제어기를 비선형 시스템의 위치 제어에 적용하여 실험을 통해 그 유효성을 검정하였다.

Intelligent Technique Application for Autonomous Lateral Position Control of an Unmanned 4 Wheel Steered Snowplow Robotic Vehicle

  • Jung, Seul;Hsia, T.C.
    • 대한임베디드공학회논문지
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    • 제6권3호
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    • pp.132-138
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    • 2011
  • This paper presents an intelligent control approach for lateral position control of an autonomous four wheel steered snowplowing robotic vehicle. The vehicle is built for removing snow on the highway. Dynamics of the vehicle is derived and linearized for LQR control. Lateral position is controlled by the LQR method first, then the neural network control technique is introduced to improve tracking performances under the presence of load. The feasibility of using four wheel steering control is investigated by simulation studies of lateral position tracking of the Ford F-250 truck model. Performances of a LQR control method and a neural network control method under virtual snowplowing situation are compared.

INDEFINITE STOCHASTIC OPTIMAL LQR CONTROL WITH CROSS TERM UNDER IQ CONSTRAINTS

  • Luo, Cheng-Xin;Feng, En-Min
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.185-200
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    • 2004
  • A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.

제한된 제어입력을 갖는 유연우주구조물에 대한 확장된 LQR (Extension of the LQR to Accomodate Actuator Saturation Bounds for Flexible Space Structures)

  • 이상철
    • 한국항공우주학회지
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    • 제30권8호
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    • pp.71-77
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    • 2002
  • 본 논문에서는 강성 중앙동체에 끝단 질량을 갖는 두 개의 유연구조물이 부착되어 있는 구조 모델의 선회기동과 진동억제를 동시에 제어하는 문제를 고려하였다. 구조모델의 선형 운동방정식을 구하기 위해 유한요소법을 사용하였다. 우주구조물 모델의 LQR문제에 있어서 물리적 의미를 갖는 성능지수를 제공하는 간단한 방법을 제안하였다. 제안된 성능지수는 일반적으로 사용하는 에너지 형식의 성능지수와 비교할 때 수학적으로는 큰 차이가 없으나 물리적으로는 의미있는 차이를 갖는다. 특수해 방법을 사용하여 부등호 제어 제약조건이 있는 시변 LQR문제를 해결하는 수치적 절차를 소개하였다.

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.

풍력터빈의 LQR 제어 (LQR control of Wind Turbine)

  • 남윤수;조장환;임창희;박성수
    • 풍력에너지저널
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    • 제2권1호
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    • pp.74-81
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    • 2011
  • This paper deals with the application of LQ control to the power curve tracking control of wind turbine. However, two more additional tasks are required to apply the LQR theory to wind turbine control. One is the tracking problem instead of regulation, because the wind turbine is controlled as variable speed and variable pitch. The other is LQ integral control., because the rotor speed should be tightly controlled without any steady state error. Starting from the analysis of wind characteristics, design requirement of a wind turbine control system is defined. A design procedure of LQ tracking with integral control is introduced. The performance of LQ tracking system is analyzed and evaluated by numeric simulation.