• Title/Summary/Keyword: quadratic regulator

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Control of Crane System Using Fuzzy Learning Method (퍼지학습법을 이용한 크레인 제어)

  • Noh, Sang-Hyun;Lim, Yoon-Kyu
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.1
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    • pp.61-67
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    • 1999
  • An active control for the swing of crane systems is very important for increasing the productivity. This article introduces the control for the position and the swing of a crane using the fuzzy learning method. Because the crane is a multi-variable system, learning is done to control both position and swing of the crane. Also the fuzzy control rules are separately acquired with the loading and unloading situation of the crane for more accurate control. And We designed controller by fuzzy learning method, and then compare fuzzy learning method with LQR. The result of simulations shows that the crane is controlled better than LQR for a very large swing angle of 1 radian within nearly one cycle.

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Transonic Flutter Suppression of the 2-D Flap Wing with External Store using CFD-based Aeroservoelasticity

  • Lee, Seung-Jun;Lee, In;Han, Jae-Hung
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.121-127
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    • 2006
  • An analysis procedure for the combined problem of control algorithm and aeroelastic system which is based on the computational fluid dynamics(CFD) technique has been developed. The aerodynamic forces in the transonic region are calculated from the transonic small disturbance(TSD) theory. An linear quadratic regulator(LQR) controller is designed to suppress the transonic flutter. The optimal control gain is estimated by solving the discrete-time Riccati equation. The system identification technique rebuilds the CFD-based aeroelstic system in order to form an adequate system matrix which involved in the discrete-time Riccati equation. Finally the controller, that is constructed on the basis of system identification technique, is used to suppress the flutter phenomenon of the airfoil with attached store. This approach, that is, the CFD-based aeroservoelasticity design, can be utilized for the development of effective flutter controller design in the transonic region.

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.

Cheap Control of Weakly Coupled Discrete System (정규섭동 이산시 시스템에 대한 Cheap 제어 적용)

  • Choi, Won-Ho;Kwon, Yo-Han;Kim, Beom-Soo;Lim, Myo-Teag
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.503-505
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    • 1999
  • Linear cheap control problem is a special form of linear quadratic regulator problem in which a small parameter ${\varepsilon}^2$ is multiplied with the control term. The joint problem in which cheap control is applied to a weakly coupled discrete system has not been reported in the literature. In this paper, the high-gain problem and decoupling problem on discrete weakly coupled system are considered together. We derive Hamiltonian matrix when the cheap control is applied to a weakly coupled discrete system and use it in developing numerical formulations in the process of applying parallel algorithm to the system.

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A Study on Friction Measurement of an Inverted Pendulum System using the Regression Analysis (회귀분석을 통한 역진자 시스템의 마찰력 측정에 관한 연구)

  • Park, Kyung-Yun;Park, Duck-Gee;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1775-1776
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    • 2006
  • This paper deals with the problem of friction measurement of an inverted pendulum system using the regression analysis and proposes a solution. The approach taken in this study is getting the friction from a regression relational expression between the motor voltage and the cart velocity of an inverted pendulum system. The result to compensate LQR (linear Quadratic Regulator) controller with the friction which is measured in system, improved the performance of the system. Above all, the study has found that the proposed compensation of the friction reduces the oscillation of the cart position. In conclusion, the proposed method is useful when parameters in the given system model are not known.

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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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Modeling and Multivariable Control of a Novel Multi-Dimensional Levitated Stage with High Precision

  • Hu Tiejun;Kim Won-jong
    • International Journal of Control, Automation, and Systems
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    • v.4 no.1
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    • pp.1-9
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    • 2006
  • This paper presents the modeling and multivariable feedback control of a novel high-precision multi-dimensional positioning stage. This integrated 6-degree-of-freedom. (DOF) motion stage is levitated by three aerostatic bearings and actuated by 3 three-phase synchronous permanent-magnet planar motors (SPMPMs). It can generate all 6-DOF motions with only a single moving part. With the DQ decomposition theory, this positioning stage is modeled as a multi-input multi-output (MIMO) electromechanical system with six inputs (currents) and six outputs (displacements). To achieve high-precision positioning capability, discrete-time integrator-augmented linear-quadratic-regulator (LQR) and reduced-order linearquadratic-Gaussian (LQG) control methodologies are applied. Digital multivariable controllers are designed and implemented on the positioning system, and experimental results are also presented in this paper to demonstrate the stage's dynamic performance.

Dynamic Modeling and Controller Design for Active Vibration Control of Elevator (엘리베이터 능동진동제어를 위한 동적 모델링 및 제어기 설계)

  • Kim, Ki-Young;Kwak, Moon-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.71-76
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    • 2008
  • This paper is concerned with the active vibration control of elevator by means of the active roller guide. To this end, a dynamic model for the horizontal vibration of the elevator consisting of a supporting frame, cage and active roller guides was derived using the energy method. Free vibration analysis was then carried out based on the equations of motion. Active vibration controller was designed based on the equations of motion using the LQR theory and applied to the numerical model. Rail irregularity and wind pressure variation were considered as external disturbance in the numerical simulations. The numerical results show that the active vibration control of elevator is possible.

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Robust $\textrm{H}_\infty$ Control Design for the Space Station with Structured Parameter Uncertainty

  • Byun, Kuk-Whan;Bong-Wie;Dabid-Gaiier;John-Sunkel
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.431-441
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    • 1991
  • A robust H$_{\infty}$ control design methodology and its application to a Space Station attitude and momentum control problem are presented. This new approach incorporates nonlinear multi-parameter variations in the state-space formulation of H$_{\infty}$ control theory. An application of this robust H$_{\infty}$ control synthesis technique to the Space Station control problem yields a remarkable result in stability robustness with respect to the moments-of-inertia variation of about 73% in one of the structured uncertainty directions. The performance and stability of this new robust H$_{\infty}$ controller for the Space Station are compared to those of other controllers designed using a standard linear-quadratic-regulator synthesis technique.que.

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Vibration Contol of Automotive Suspension System using the LQG/LTR Control Methodology (LQG/LTR제어기법을 이용한 자동차 서스펜션 시스템의 진동제어)

  • Ahn, Jeong-Keun;Song, Chang-Hun;Yoo, Sam-Hyeon;Lee, Chong-Won
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.646-653
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    • 2001
  • LQG/LTR Control Methology is recently used for the analysis of multi-variable control in frequency domain. Target filter loop is designed by the demanding requirements such as cross-over frequency, disturbance rejection in low frequency domain, zero steady-state error, identification of maximum and minimum singular values and sensor noise rejection in high frequency domain. Loop transfer recovery is accomplished by solving the cheap control and then simulation close to the target filter loop. In this study, LQG/LTR Control Methodology is applied to the seat suspension system. It is found that this technique is very effective to control the system and improve the ride quality of human body.

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