• Title/Summary/Keyword: LQR control

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

  • Kim, Dong-Jin;Rhee, Key-Pyo;Choi, Jin-Woo;Lee, Sung-Kyun
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.4
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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.

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

  • Seo, Yeong-Bong;Choe, Jae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.6
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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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Performance of LQR and H$_2$ Controller for an Experimentally-Identified Structure with AMD (AMD가 설치된 실험모델에 대한 LQR과 H$_2$제어기의 설계 및 성능비교)

  • 민경원;이승준;주석준;김홍진;박민규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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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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The Study on Position Control of Nonlinear System Using Wavelet Neural Network Controller (웨이블렛 신경회로망 제어기를 이용한 비선형 시스템의 위치 제어에 관한 연구)

  • Lee, Jae-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.12
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    • pp.2365-2370
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    • 2008
  • In this paper, applications of wavelet neural network controller to position control of nonlinear system are considered. Wavelet neural network is used in the objectives which improve the efficiency of LQR controllers. It is possible to make unstable nonlinear systems stable by using LQR(Linear Quadratic Regulator) technique. And, in order to be adapted to disturbance effectively in this system it uses wavelet neural network controller. Applying this method to the position control of nonlinear system, its usefulness is verified from the results of experiment.

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

  • Jung, Seul;Hsia, T.C.
    • IEMEK Journal of Embedded Systems and Applications
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    • v.6 no.3
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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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    • v.15 no.1_2
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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.

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

  • Lee, Sang-Chul
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.8
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    • pp.71-77
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    • 2002
  • We consider the simultaneous slewing and vibration suppression control problem of an idealized structural model which has a rigid hub with two cantilevered flexible appendages and finite tip masses. The finite clement method(FEM) is used to obtain linear finite dimensional equations of motion for the model. In the linear quadratic regulator(LQR) problem, a simple method is introduced to provide a physically meaningful performance index for space structure models. This method gives us a mathematically minor but physically important modification of the usual energy type performance index. A numerical procedure to solve a time-variant LQR problem with inequality control constraints is presented using the method of particular solutions.

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

  • Kang, Seong-Gu;Lee, Kee-Seok;Chung, Jun-Mo;Shin, Woo-Cheol;Hong, Jun-Hee
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.2
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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.

LQR control of Wind Turbine (풍력터빈의 LQR 제어)

  • Nam, Yoon-su;Jo, Jang-whan;Lim, Chang-Hee;Park, Sung-su;Bottasso, Carlo L.
    • Journal of Wind Energy
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    • v.2 no.1
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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.