• Title/Summary/Keyword: LQG

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Control of a Helicopter in Hover Using the LQG and LQG/LTR Methods (LQG와 LQG/LTR방법을 이용한 헬리콥터의 비행위치 제어)

  • Kim, Jong-Shik;Ma, Sam-Sun;Song, Myong-Hun
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.1
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    • pp.74-85
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    • 1990
  • The LQG and LQG/LTR compensators have the same structrues in dynamics. The only difference is the values of the design parameters in the two compensators. The design parameters of the LQG and LQG/LTR compensators are selected in the sense of the least-squares error minimi- zation and loop shaping, respectively. In this paper, the LQG and LQG/ LTR design methods are applied to the helicopter in hover which is modeled as a SISO fourth order system. The dynamic characteristics and the perfor- mance of the two control systems are analyzed by the computer simulation. It is found that the LQG/LTR design method is systematic and has good performance in comparision with the LQG design method.

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Frequency Tracking Error Analysis of LQG Based Vector Tracking Loop for Robust Signal Tracking

  • Park, Minhuck;Kee, Changdon
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.3
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    • pp.207-214
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    • 2020
  • In this paper, we implement linear-quadratic-Gaussian based vector tracking loop (LQG-VTL) instead of conventional extended Kalman filter based vector tracking loop (EKF-VTL). The LQG-VTL can improve the performance compared to the EKF-VTL by generating optimal control input at a specific performance index. Performance analysis is conducted through two factors, frequency thermal noise and frequency dynamic stress error, which determine total frequency tracking error. We derive the thermal noise and the dynamic stress error formula in the LQG-VTL. From frequency tracking error analysis, we can determine control gain matrix in the LQG controller and show that the frequency tracking error of the LQG-VTL is lower than that of the EKF-VTL in all C/N0 ranges. The simulation results show that the LQG-VTL improves performance by 30% in Doppler tracking, so the LQG-VTL can extend pre-integration time longer and track weaker signals than the EKF-VTL. Therefore, the LQG-VTL algorithm is more robust than the EKF-VTL in weak signal environments.

Implementation and performance analysis of digital servo controller using LQG/LTR method (LQG/LTR 방법을 이용한 견실한 디지탈 서어보 제어기 실현 및 성능분석)

  • 최중락;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.570-574
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    • 1987
  • The robust servo controller is designed by the procedure of LQG/LTR method in the continuous-time domain. This design results is equivalently converted to the discrete-time suboptimal LQG in order to implement by the microcomputer system. The LTP, condition of the discrete-time LQG is analyzed and approved by the experiments against the uncertainty of real plant, the discretized LQG /LTR control shows the good robustness.

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Digital Autopilot Design Using $\delta$-LQG/LTR Compensators ($\delta$-LQG/LTR보상기에 의한 디지털 자동조종장치 설계)

  • 이명의;김승환;권오규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.9
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    • pp.920-928
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    • 1991
  • This paper proposes a design procedure based on the LQG/LTR (Linear Quadratic Gaussian/ Loop Transfer Recovery) method for a launch vehicle. Continuous-discrete type LQG/LTR compensators are designed using the e-transformation to overcome numerical problems occurring in the process of discretization. The e-LQG/LTR compensator using the e-transformation is compared width the z-LQG/LTR compensator using the z-transformation. The performance of the overall system controlled by the compensator is evaluated via simulations, which show that the discretization error problem is resolved and the control performances are satisfactory in the proposed compensator.

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Modelling and LQG/LTR Compensator Design of the Seeker Scan-Loop (탐색기의 주사루프 모델링과 LQG/LTR보상기 설계)

  • 황홍연;이호평
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2730-2741
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    • 1993
  • A mathematical model of the seeker scan-loop which is composed of a spin-stabilized gyroscope and its driving signal processors is derived. The derived model has a transmission zero pair on the imaginary axis near to the required bandwidth. The LQG/LTR design methodology is evolved for the derived scan-loop model. To implement the designed LQG/LTR compensator to the actual plant, the compensator order is reduced using the internally balanced realization method. The performances of the LQG/LTR compensator are tested and compared with those of the P-control. Especially, stability-robustnessexperiments for model uncertainties represented in the form of time-delays are performed. It is demonstrated that the LQG/STR compensator is actually very robust to model uncertainties.

Position and Measurement Performance Analysis of GPS Receiver applied LQG based Vector Tracking Loop (LQG 기반 벡터 추적 루프를 적용한 GPS 수신기의 위치 및 측정치 성능 분석)

  • Park, Min-Huck;Jeon, Sang-Hoon;Kim, Chong-Won;Kee, Chang-Don;Seo, Seung-Woo;Jang, Jae-Gyu;So, Hyoung-Min;Park, Jun-Pyo
    • Journal of Advanced Navigation Technology
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    • v.21 no.1
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    • pp.43-49
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    • 2017
  • Generally, loop filter based scalar tracking loops (LF-STL) have been used for global positioning system (GPS) signal tracking algorithm. This paper introduces the accuracy and robustness of linear-quadratic-Gaussian based vector tracking loop (LQG-VTL) algorithm instead of LF-STL. To verify the accuracy of LQG-VTL, we confirm that the measurements estimation errors of the LQG based scalar tracking loops (LQG-STL) are improved by more than 60 % compared to LF-STL. Also, when LQG-VTL is used, measurements estimation errors decrease compared to LQG-STL, and position/velocity estimation errors also decrease as the number of satellites increases. To verify the robustness of LQG-VTL, we confirm that LQG-VTL can estimate position/velocity and measurements successively compared to LF-STL in temporal signal attenuation of 30 dB-Hz during 4 seconds.

LQG Hybrid Vibration Control of a Structure Using TMD (Tuned Mass Damper(TMD)를 이용한 구조물의 Linear Quadratic Gaussian(LQG) 하이브리드 진동제어)

  • Lee, Jin-Ho;Lee, Sang-Beom
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.4
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    • pp.108-118
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    • 2006
  • The purpose of this study is to investigate the effectiveness of a LQG Hybrid controller to suppress the earthquake disturbance for the building structure. The ground acceleration of N-S component of El-Centro earthquake was scaled to confirm that the building behaved within the elastic range. The tuned mass damper(TMD) on the top floor regulated by LQG algorithm was designed to control the floor displacements. The displacement responses of the hybrid control were compared with those obtained from an active control along with a passive control. The results showed that the LQG hybrid control used approximately 50% less input forces than an active control to satisfy the performance criteria.

Autopilot Design Using LQG/LTR Method for a Launch Vehicle (LQG/LTR 기법에 의한 발사체의 자동조종장치 설계)

  • Kim, Seung-Hwan;Kwon, Oh-Kyu
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.413-416
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    • 1990
  • This paper proposes a design procedure based on the LQG/LTR method for a launch vehicle autopilot. Continuous-discrete type LQG/LTR compensators are designed using the $\delta$-transformation [1] in order to overcome numerical problems occurring in the process of discretization. The $\delta$-LQG/LTR compensator using the $\delta$-transformation is compared with the $\delta$-LQG/LTR compensator using the $\delta$-transformation. The performance of the overall system controlled by the $\delta$-LQG/LTR compensator is evaluated via simulations, which show that the discretization error problem is resolved and the control performances are satisfied in the proposed compensator.

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A Study on the LQG Control of Dancer System for Printed Electronics (전자소자 인쇄를 위한 댄서 시스템에서 LQG 장력 제어에 대한 연구)

  • Seong, Jin-Woo;Kang, Hyun-Kyoo;Shin, Kee-Hyun
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1144-1149
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    • 2008
  • Converting technology has developed to print information for the decades. Recently, this technology (like gravure, gravure-offset) is rising as an alternative way for mass production of printed electronics such as RFID, solar cell. For the width of printing line is under 10 microns, registration error should be minimized less than several microns. Tension disturbance is main cause of registration error and this should be minimized before the substrate is transported into printing zone. With PI controller, it is possible to suppress the disturbance within 2% of operating tension. But register error appears more than 10 micron using PIcontroller considering noise. So LQG controller is needed as an alternative control method. In this paper, the comparision of PI and LQG controller in the converting machine including measured noise and tension disturbance is presented. It is shown that the LQG controller is more suitable for precision tension control in printed electronics.

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Active Vibration Suppression of Smart Structures using a Modified LQG Controller (수정 LQG 제어기를 이용한 지능 구조물의 능동진동제어)

  • 신태식;곽문규
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.664-669
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    • 1998
  • This research is concerned with the active vibration controller design for smart structures by a modified LQG controller. The smart structure is defined as the structure equipped with smart actuators and sensors. Various analog and digital control, techniques aimed for the piezoceramic sensors and actuators have been proposed for the active vibration control of smart structures. In this paper, the modified LQG controller is developed for the active vibration suppression of smart structures to implement the predefined decay rate on modal displacements. The proposed modified LQG controller proved its effectiveness by experiments.

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