• Title/Summary/Keyword: LQR Controller

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A Derivation of the Equilibrium Point for a Controller of a Wheeled Inverted Pendulum Running on an Inclined Road (경사면을 주행하는 차륜형 역진자의 평형점 상태에 관한 연구)

  • Lee, Se-Han;Kang, Jae-Gwan
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.1
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    • pp.72-78
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    • 2012
  • In this research an equilibrium point of a Wheeled Inverted Pendulum (WIP) running on an inclined road is derived and validated by some experiments. Generally, The WIP has stable and unstable equilibrium point. Only unstable equilibrium point is interested in the research. To keep the WIP on the unstable equilibrium point, the WIP is consistently controlled. A controller for the WIP needs a reference state for the equilibrium point. The reference state can be obtained by studying an equilibrium point of the WIP. This research is deriving dynamic equations of the WIP running on the inclined road and equilibrium of it based on statics. Several experiments are carried out to show the validation of the equilibrium point.

Controller optimization with constraints on probabilistic peak responses

  • Park, Ji-Hun;Min, Kyung-Won;Park, Hong-Gun
    • Structural Engineering and Mechanics
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    • v.17 no.3_4
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    • pp.593-609
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    • 2004
  • Peak response is a more suitable index than mean response in the light of structural safety. In this study, a controller optimization method is proposed to restrict peak responses of building structures subject to earthquake excitations, which are modeled as partially stationary stochastic process. The constraints are given with specified failure probabilities of peak responses. LQR is chosen to assure stability in numerical process of optimization. Optimization problem is formulated with weightings on controlled outputs as design variables and gradients of objective and constraint functions are derived. Full state feedback controllers designed by the proposed method satisfy various design objectives and output feedback controllers using LQG also yield similar results without significant performance deterioration.

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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Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems (다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계)

  • Chun, Tae Yoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1118-1124
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    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

Power System Stabilizer using the Free Model

  • Kim, Ho-Chan;Oh, Seong-Bo;Lee, Kwang-Yeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.139.3-139
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    • 2001
  • The free-model concept is introduced as an alternative intelligent system technique to design a controller with input and output data only. The idea of free model comes from the Taylor series approximation, where an output can be estimated when such data as position, velocity, and acceleration are known. The parameters in the free model can be estimated using the input-output data and a controller can be designed based on the free model. The free model thus developed is shown to be controllable, observable, and robust. The accuracy of the free-model approximation can be improved by increasing the observation window and the order of the free model. The LQR method is applied to the free model to design power system stabilizers ...

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Optimal Vibration Control of Rigid Plate Elastically Supported at the Edges (끝단이 탄성 지지된 강체판의 최적진동제어)

  • Lee, Seong-Ki;Yun, Shin-Il;Han, Sang-Bo
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.828-833
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    • 2003
  • Rigid plate elastically supported at the edges is modeled and the performance of the optimal vibration control under sinusoidal excitation is tested. The controller based on the linear quadratic regulator with output feedback is designed to control the multi-degree of freedom vibration. Relative weighting parameters are considered as design constraints to determine the limitation of maximum control force and state parameters. Control force calculated by proportional output feedback of the displacement and velocity is used to suppress the vibration induced by the sinusoidal external force. The active vibration control of vibrating plate by the LQR controller is examined through the numerical simulations that show the effectiveness of optimal control scheme on the three degrees of freedom structure.

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Tip Position Control of Flexible Manipulator Using Disturbance Estimator (외란 추정기를 이용한 유연 매니퓰레이터의 선단 위치제어)

  • 김상열;최승복
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.219-224
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    • 2001
  • An accurate tip position control of a single-link flexible manipulator subjected to torque disturbance is achieved by utilizing so called sliding mode controller with disturbance estimation (SMCDE). After formulating the governing equation of motion in the state 1pace representation, a stable sliding surface is designed via the LQR method. The SMCDE is then synthesized by integrating equivalent sliding mode controller with the disturbance estimator which is featured by an integrated average value of the imposed disturbance over a certain sampling period. The regulating tip motion of the flexible manipulator is evaluated by employing the proposed SMCDE.

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Decoupling Controller Design for the JINAMCHA by Using Command Generator Tracker and Eigenstructure Assignment (CGT와 고유구조 지정법을 이용한 지남차의 불연성화 제어기 설계)

  • Kim, Joo-Ho;Choi, Jae-Weon
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.6
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    • pp.176-182
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    • 1999
  • In this paper, we consider a decoupling control and a servo control for the JINAMCHA of which the cart and the pointer is coupled very strongly. The right eigenstructure assignment(i.e. simultaneous assignment of eigenvalues and right eigenvectors) is used for decoupling the motions of the cart and the pointer. The CGT(Command Generator Tracker) is used for a servo control of the JINAMCHA. The performance of the proposed control scheme, that is the combination of the right eigenstructure assignment and the CGT, is evaluated by simulations. The results show that the proposed controller has better performance than the LQR with limiting properties and the conventional LQ servo.

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Control of the flexible system under irregular disturbance by using of 『random gain』

  • Cho, Yun-Hyun;Yang, Jae-Hyuk;Kim, Dae-Jung;Park, Sang-Tae;Chung, Jae-Wook;Hoon Heo
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.435-439
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    • 1998
  • A control strategy for flexible structure under irregular disturbance by using of$\boxDr$random gain$\boxUl$is developed and implemented. System equation is transformed to stochastic domain by F-P-K approach from physical domain. A controller is designed in the stochastic domain, accordingly system is controlled by$\boxDr$random gain$\boxUl$in time domain. In the paper, a new control technique is successfully employed for flexible system under white noise, and the result is verified by Monte-Carlo simulation and compared with the performance via LQR controller.

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Controller Design of a DC-DC Converter using an Optimal Control Theory (최적제어이론을 이용한 DC-DC 컨버터의 제어기 설계)

  • Lee, S.H.;Bae, E.K.;Sin, C.J.;Jeon, K.Y.;Jeon, J.Y.;Oh, B.H.;Lee, H.G.;Han, K.H.
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.421-423
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    • 2007
  • In this paper, The authors apply a state feedback control using an optimal control theory to improve the stability of the control and the dynamic response of the DC-DC converter system with a number of different loads. To execute a this state feedback control, The authors present the pole placement technique using Linear Quadratic Regulator(LQR) to optimally control the system. An integrator can also be included in the open-loop path in order to minimize the steady-state error of the output voltage. To confirm the superiority of the controller, The simulation results are presented.

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