• Title/Summary/Keyword: LQR control

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Output feedback, decentralized controller design for an active suspension system using 7 DOF full car model (7 자유도 차량 모델과 출력 되먹임을 이용한 자동차 능동 현가장치 설계에 관한 연구)

  • 노태수;정길도;홍동표
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.871-875
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    • 1996
  • The Output feedback linear quadratic regulator control is applied to the design of active suspension system using 7 DOF full car model. The performance index reflects the vehicle vertical movement, pitch and roll motion, and minimization of suspension stroke displacements in the rattle space. The elements of gain matrix are approximately decoupled so that each suspension requires only local information to generate the control force. The simulation results indicates that the output feedback LQ controller is more effective than purely passive or full state feedback active LQ controllers in following the road profile at the low frequency range and suppressing the road disturbance at the high frequency ranges.

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LQ-servo design to command following and output-disturbance rejection (명령추종과 출력측 외란제거를 위한 LQ-servo 설계)

  • Yun, Seong-O;Suh, Byung-Suhl
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.5
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    • pp.443-449
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    • 1997
  • LQ-servo design procedure introduced by Athans is a method using a partial states feedback and an output feedback in order to improve the poor performance robustness of the LQR as well as to maintain its stability robustness. Although the method guarantees good stability robustness, it is not effective in performance robustness as it does not match the singular value at low or high frequencies of the transfer matrix obtained by breaking at the plant output. This paper intends propose of a new method, using the limited behaviour of the control gain introduced by Kwakernaak and Sivan, in order to improve it does it refer to controlga introduced by kwakernaak or the new metho Anblguouls.

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The effects of target and missile dynamics on the optimal coriolis acceleration compensation (미사일 및 표적 운동을 고려한 시선지령유도에서의 코리올리 가속도 보상)

  • 류동영;탁민제;엄태윤;송택렬
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.596-600
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    • 1992
  • In CLOS guidance, feedback compensation of the Coriolis acceleration is used to reduce miss distance. This paper presents the effects of the bandwidth of target and missile on the optimal Coriolis acceleration compensation. A state space formulation of CLOS guidance is used to implement CLOS guidance in feedback form. And the LQR control method is applied to find the optimal feedback gain. From the analysis of the Riccati equations of the optimal control, the following facts are observed: When the target is agile, the optimal gain is reduced, since the compensation becomes ineffective. The missile bandwidth also affects the Coriolis accleration compensation. Narrower missile requires more compensation for the Coriolis acceleration.

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A NEW METHOD OF LQ INTEGRAL CONTROL, FOR NONMINIMUM PHASE SYSTEMS

  • Kwon, Byung-Moon;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.79-82
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    • 1999
  • The right half plane (RHP) zeros may cause severe problems, such as undershoots, oscillations and time delay in the transient response of the systems. In this paper, we formulate a linear quadratic type problem to deal with the effects of the RHP zeros in the nonminimum phase systems. Based on the LQ formulation, this paper shows the trade-off relation between undershoot and rising time performances in nonminimum phase systems by using a new performance index which consists of new state and tracking error. And performances of the proposed method are shown via computer simulations.

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Air-Gap Control Using Optimal PID Controller for SIL-Based Near-Field Recording System (SIL 기반 근접장 기록 시스템의 간극 제어를 위한 최적화된 PID 제어 알고리즘 성능평가)

  • Shin, Won-Ho;Kim, Jung-Gon;Park, No-Cheol;Yang,, Hyun-Seok;Park, Young-Pil;Park, Kyoung-Su
    • Transactions of the Society of Information Storage Systems
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    • v.5 no.1
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    • pp.41-46
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    • 2009
  • In SIL-based NFR servo systems, the residual error and the overshoot that are occurred in the process of the modes-witching servo which consists of approach, gap-control modes, and safety mode are reduced by using PID controller. However, the design method of conventional PID controller is not sufficient for the stable air gap control system. Therefore, the optimal PID controller using LQR manner is more useful to find the designed parameters of PID controller. In this paper, we show that the performance of the optimal PID controller is better than that of the lead-lag controller.

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A Formation Guidance Law Design Based on Relative-Range Information for Swam Flight (군집비행을 위한 상대 거리정보 기반의 편대 유도기법 설계)

  • Kim, Sung-Hwan;Jo, Sung-Beom;Park, Sang-Hyuk;Kim, Do-Wan;Ryoo, Chang-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.2
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    • pp.87-93
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    • 2012
  • In this paper, a formation guidance method for UAVs (Unmanned Aerial Vehicles) to simulate the formation flight of birds proposed. The proposed method solves all issues of approaching for formation, formation keeping, and scarce chance to be collided with each UAV during formation process. Also, we design the feedforward controller to compensate the change of speed and heading for maneuvering of the leader UAV and the feedback controller to consider the response lag of the system. The stability and performance of the proposed controller is verified via numerical simulations of the full 6-Dof model of UAV.

Seisminc Response of Base Isolated Structures with MR Dampers (MR 감쇠기를 적용한 기초격리구조물의 지진응답)

  • 고봉준;황인호;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.505-512
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    • 2003
  • As large structures such as highrise buildings and cable-stayed bridges become lighter and more flexible, the necessity of structural control for reducing excessive displacement and acceleration due to seismic excitation is increased. As a means to minimize seismic damages, various base isolation systems are adopted or considered for adoption. In this study, the seismic performance of M dampers are studied and compared with that of the NZ system as a base isolation system As the control algorithm of the MR damper, the clipped-optimal control(applied LQR method) is employed. A five-story building is modeled and the seismic performance of the two systems subjected to three different earthquakes is compared. The results show that the M damper system can provide superior protection than the NZ system for a wide range of ground motions.

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Swinging-up the Rotational Inverted Pendulum with Limited Sector of Arm Angle via Energy Control

  • Nundrakwang, Songmoung;Cahyadi, Adha I.;Isarakorn, Don;Benjanarasuth, Taworn;Ngamwiwit, Jongkol;Komine, Noriyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2116-2119
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    • 2005
  • Inverted pendulum is a classical example and a famous tool for testing the effectiveness of many control schemes. Owing to their nonlinearity and unstable characteristic, a controller development either for swinging-up or stabilizing its upright position had been a great interest of many researchers. In this paper, the swinging-up control of the inverted pendulum using energy control will be presented. However, the saturation function in its control law could harm the experimental equipments. In addition, this swinging-up method did not consider limited sector of the arm angle to avoid another hazard, for instance, the twisted cable in the apparatus. Therefore, in this paper the position control of the arm angle using simple PD control in accordance with the energy control is proposed. Consequently, the limited arm sector angle can be achieved and the saturation function can also be replaced effectively by the PD control.

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A Study on Robust Control of Mobile Robot with Single wheel Driving Robot for Process Automation (공정 자동화를 위한 싱글 휠 드라이빙 모바일 로봇의 견실제어에 관한 연구)

  • Shin, Haeng-Bong;Cha, BO-Nam
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.2
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    • pp.81-87
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    • 2016
  • This paper presents a new approach to control of stable motion of single wheel driving robot system of a pitch that is controlled by an in-wheel motor and a roll that is controlled by a reaction wheel. This robot doesn'thave any actuator for a yaw axis control, which makes the derivation of the dynamics relatively simple. The Lagrange equations was applied to derive the dynamic equations of the one wheel driving robot to implement the dynamic speed control of the mobile robot. To achieve the real time speed control of the unicycle robot, the sliding mode control and optical regulator are utilized to prove the reliability while maintaining the desired speed tracking performance. In the roll controller, the sigmoid-function based robust controller has been adopted to reduce the vibration by the situation function. The optimal controller has been implemented for the pitch control to drive the unicycle robot to follow the desired velocity trajectory in real time using the state variables of pitch angle, angular velocity, angle and angular velocity of the driving wheel. The control performance of the control systems from a single dynamic model has been illustrated by the real experiments.

Active vibration robust control for FGM beams with piezoelectric layers

  • Xu, Yalan;Li, Zhousu;Guo, Kongming
    • Structural Engineering and Mechanics
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    • v.67 no.1
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    • pp.33-43
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    • 2018
  • The dynamic output-feedback robust control method based on linear matrix inequality (LMI) method is presented for suppressing vibration response of a functionally graded material (FGM) beam with piezoelectric actuator/sensor layers in this paper. Based on the reduced model obtained by using direct mode truncation, the linear fractional state space representation of a piezoelectric FGM beam with material properties varying through the thickness is developed by considering both the inherent uncertainties in constitution material properties as well as material distribution and the model error due to mode truncation. The dynamic output-feedback robust H-infinity control law is implemented to suppress the vibration response of the piezoelectric FGM beam and the LMI method is utilized to convert control problem into convex optimization problem for efficient computation. In numerical studies, the flexural vibration control of a cantilever piezoelectric FGM beam is considered to investigate the accuracy and efficiency of the proposed control method. Compared with the efficient linear quadratic regulator (LQR) widely employed in literatures, the proposed robust control method requires less control voltage applied to the piezoelectric actuator in the case of same control performance for the controlled closed-loop system.