• Title/Summary/Keyword: LQ control

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POLE-PLACEMENT WITHIN SPECIFIES REGIONS USING LO-DESIGN

  • Loh, N.K.;Ma, X.
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.907-912
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    • 1989
  • A new procedure is presented for optimally placing closed-loop poles of multivariable continuous-time systems in specified regions via linear-quadratic(LQ) state-feedback design. This method has the advantages of pole-placement and LQ-design. In addition, it provides minimum feedback gains in the control law.

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Linear Quadratic Servo Design for Magnetic Levitation Systems Considering Disturbance Forces from Linear Synchronous Motor

  • Kim, Chang-Hyun;Ahn, Hanwoong;Lee, Ju;Lee, Hyungwoo
    • Journal of Electrical Engineering and Technology
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    • v.12 no.2
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    • pp.944-949
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    • 2017
  • Recently, the demand of maglev systems in the manufacturing industry for LCD and OLED display panels, which are required to be very clean and possess vacuum systems, has been increasing due to their characteristics such as being non-contact, noise free and eco-friendly. However, it is still a challenge to simultaneously control both the propulsion and levitation for their interactive effect difficult to be exactly measured. In this paper, we proposed a new tuning method for controlling the magnetic levitation force robustly against the levitation disturbance caused by a propulsion system, based on LQ servo optimal control. The disturbance torque of the LSM propulsion system is calculated through FEM analysis in such a way that the LQ servo controller is determined in order to minimize the effect of the disturbance. The robust performance of the proposed LQ servo control method for the in-track type magnetic levitation systems is demonstrated via simulations and experiments.

Multivariable Control of Cold-Rolling Mills with Roll Eccentricity (롤편심을 포함한 냉간압연 시스템의 다변수 제어)

  • Kim, Jong-Sik;Kim, Seung-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.502-510
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    • 1997
  • A disturbance rejection controller using eccentricity filtering and LQ control techniques is proposed to alleviate the effecto of major roll eccentricity in multivariable cold-rolling processes. Fundamental problems in multivariable cold-rolling processes such as process time delay inherent in exit thickness measurement and non-stationary characteristics of roll eccentricity signals can be overcome by the proposed control method. The filtered instantaneous estimate of roll eccentricity may be exploited to improve instantaneous estimate of the exit thickness variation based on roll force and roll gap measurements, and a feedforward compensator is augmented as a reference for a gaugemeter thickness estimator. LQ feedback controller is combined with eccentricity filter for the attenuation of the exit thickness variation due to the entry thickness variation. The simulation results show that the roll eccentricity disturbance is significantly eliminated and other disturbances also are attenuated.

Inverse Optimal Problem for Homing Guidance with Angular Constraint (충돌각 제어 호밍유도법칙의 역최적 문제)

  • Lee, Jin-Ik;Lee, Yong-In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.5
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    • pp.412-418
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    • 2007
  • An inverse optimal problem for homing guidance with angular constraint is addressed. The gains of BPN(Biased PN) are investigated by duality analysis related to the weighting matrices of the performance index in the LQ control problem. Moreover, the criteria for the existence of optimal gains are derived from the generalized Riccati equation. Based on the conditions we achieve the gain set of BPN to be optimal solution to the LQ problem with terminal constraints. To validate and demonstrate the proposed approach 3-DOF simulations are carried out.

A Controller Design for Semi-active Suspension System Using Wavelet Treasform and Evolution Strategy (웨이브릿 변환과 진화전략에 의한 반능동 현가장치의 제어기 설계)

  • Kim, Dae-Jun;Kim, Han-Soo;Jeon, Hyang-Sig;Choi, Young-Kiu;Kim, Sung-Shin
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.3
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    • pp.120-129
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    • 2001
  • A two-degree-of-freedom quarter-car model is used as the basis for LQ and the proposed controller design for a semi-active suspension. The LQ controller results in the best rms performance trade-offs(as defined by performance index) between ride, handling and packaging requirements. In LQ controller, however, the conflict between road holding and ride comfort remains. The adaptive semi-active suspension control based on the road frequency are introduced in this paper. With this method, the trade-off between road holding and ride comfort can be relaxed. The road frequency is estimated by wavelet transform if rattle space signal. The simulation results show that the proposed controller is superior to the conventional LQ controller.

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GA Based Control Parameter Selection Method for Optimal TCSC Control (GA를 이용한 TCSG 제어기의 파라메터 선정)

  • Kim, Hak-Man;Oh, Tae-Kyoo;Shin, Myong-Chul;Son, Kwang-Myoung
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.841-843
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    • 1997
  • In this paper we present a Genetic approach to select weighting matrices of LQ(Linear Quadratic) controller for optimal TCSC(Thyristor Controlled Series Capacitor) control. A design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices is usually carried out by trial and error, which is not a trivial problem. We proposed a efficient method using GA of finding weighting matrices for optimal control law. The proposed GA method was applied to design LQ controller of TCSC in one machine infinite bus system and showed good results.

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Robust Current Control for Permanent Magnet Synchronous Motors by the Inverse LQ Method - An Evaluation of Control Performance Using Servo-Locks at Low Speed -

  • Takami Hiroshi
    • Journal of Power Electronics
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    • v.4 no.4
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    • pp.228-236
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    • 2004
  • This paper describes the optimal current-control of a permanent magnet synchronous motor by the use of robust and simple current controllers, based upon the analytical procedure known as the inverse LQ (ILQ) design method. The ILQ design method is a strategy for finding the optimal gains based on pole assignment without solving the Riccati equation. It is very important to keep the motor in robust servo-lock. By experiments and simulations, we will show that the ILQ optimal servo-system with servo-lock is more insensitive at low speeds to variations in armature inductance than the standard PI servo-system. Variations in armature inductance have the greatest influence on the responses of a servo-system.

Design of terminal guidance algorithm for underwater vehicles using LQ technique (LQ기법을 이용한 수중 운동체의 마지막(terminal) 유도 알고리즘 설계)

  • 김삼수;이갑래;이재명;전완수;박성희
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.620-628
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    • 1991
  • For a Stationary moving-target. the design technique of guidance system for underwater vehicle with a seeker of st type is developed. Using perturbation theory, a new method which linearizes the nonlinear intercept geometry is proposed. On the basis of the linearized system modeling, LQ and PID design technique is used to determine the structure and gain of the guidance system. Some simulation results applied underwater engagement are represented to show that the proposed guidance law is superior to the other guidance laws as pursuit, Bang-Beng, PN APN.

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LQG/LTR methods for systems with input delay (입력에 시간지연이 있는 시스템에 대한 LQG/LTR 기법)

  • 권욱현;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.356-361
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    • 1986
  • This paper presents robustness properties of LQ regulators for input-delayed systems. Using frequency-domain representations, the Kalman inequality concerning the return-difference matrix is derived. The stability margins of LQ regulators are investigated using the Kalman inequality when the open-loop system is stable. In order to obtain stability margins a upper bound of the solution of LQ Riccati equations is derived. Finally, the LQG/LTR method to improve the robustness of LQG regulators is obtained and illustrated with an example.

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