• Title/Summary/Keyword: Q-controller

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Experimental Evaluation of Levitation and Imbalance Compensation for the Magnetic Bearing System Using Discrete Time Q-Parameterization Control (이산시간 Q 매개변수화 제어를 이용한 자기축수 시스템에 대한 부상과 불평형보정의 실험적 평가)

  • ;Fumio Matsumura
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.964-973
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    • 1998
  • In this paper we propose a levitation and imbalance compensation controller design methodology of magnetic bearing system. In order to achieve levitation and elimination of unbalance vibartion in some operation speed we use the discrete-time Q-parameterization control. When rotor speed p = 0 there are no rotor unbalance, with frequency equals to the rotational speed. So in order to make levitatiom we choose the Q-parameterization controller free parameter Q such that the controller has poles on the unit circle at z = 1. However, when rotor speed p $\neq$ 0 there exist sinusoidal disturbance forces, with frequency equals to the rotational speed. So in order to achieve asymptotic rejection of these disturbance forces, the Q-parameterization controller free parameter Q is chosen such that the controller has poles on the unit circle at z = $exp^{ipTs}$ for a certain speed of rotation p ( $T_s$ is the sampling period). First, we introduce the experimental setup employed in this research. Second, we give a mathematical model for the magnetic bearing in difference equation form. Third, we explain the proposed discrete-time Q-parameterization controller design methodology. The controller free parameter Q is assumed to be a proper stable transfer function. Fourth, we show that the controller free parameter which satisfies the design objectives can be obtained by simply solving a set of linear equations rather than solving a complicated optimization problem. Finally, several simulation and experimental results are obtained to evaluate the proposed controller. The results obtained show the effectiveness of the proposed controller in eliminating the unbalance vibrations at the design speed of rotation.

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REPRESENTATION OF $L^1$-VALUED CONTROLLER ON BESOV SPACES

  • Jeong, Jin-Mun;Kim, Dong-Hwa
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.133-150
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    • 2003
  • This paper will show that the relation (1.1) $$L^1({\Omega}){\subset}C_0(\bar{\Omega}){\subset}H_{p,q}$$ if 1/p'-1/n(1-2/q')<0 where p'=p/(p-1) and q'=q/(q-1) where $H_{p.q}=(W^{1,p}_0,W^{-1,p})_{1/q,q}$. We also intend to investigate the control problems for the retarded systems with $L^1(\Omega)$-valued controller in $H_{p,q}$.

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A Study on the Influence of Q-filter on Disturbance Observer Controller for Electro-Magnetic Suspension Systems (자기부상시스템의 외란관측기 제어기에 Q 필터가 미치는 영향에 관한 연구)

  • Jeon, Chanyoung;Jang, Sohyun;Jo, Nam-Hoon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.10
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    • pp.104-110
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    • 2015
  • The disturbance observer (DOB) controller has been widely used in various industrial applications since it is capable of achieving robust stability and disturbance rejection. In this paper, we study the effect of Q-filter on disturbance observer controller for Electro-Magnetic suspension (EMS) systems. We consider three Q-filters and analyze their effects on the robust stability against parameter uncertainties due to mass variation. Moreover, we investigate the influence of sensor noise for three Q-filters. According to our study, robust stability improves as the order of Q-filter decreases. On the other hand, the larger the order of Q-filter, the more the effect of sensor noise can be removed.

Experimental Evaluation of Q-Parameterization Control for the Imbalance Compensation of Magnetic Bearing Syatem (Q-매개변수화 제어를 이용한 자기축수 시스템의 불평형 보상에 대한 실험적평가)

  • Lee, Jun-Ho;Kim, Hyeon-Gi;Lee, Jeong-Seok;Lee, Gi-Seo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.278-285
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    • 1999
  • This paper utilizes the method of Q-parameterization control to design a controller which solves the problem of imbalance in magnetic bearing systems. There are two methods to solve this problem using feedback controal. The first method is to compensate for the imbalance forces by generating opposing forces on the bearing surface (imbalance compensation). The second method is to make the rotor rotate around its axis of inertia (automatic balancing);in this case no imbalance forces will be generated. In this paper we deal with only imbalance compensation. The free parameter of the Q-parameterization controller is chosen such that these goals are achieved. After the introduction of a model of the magnetic bearing system, we explain the Q-parameterization controller design of the magnetic bearing system with emphasis on the rejection of sinusoidal disturbance for imbalance compensation design. The design objectives are formulated as a linear equations in the controller free paramete Q. Finally, simulation and experimental results are presented and showed the robustness and effectiveness of the proposed controllers.

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Nonlinear Control for A Robot Manipulator (로봇 매니퓰레이터에 대한 비선형 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1333-1342
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    • 1992
  • This paper deals with a robot manipulator having actuator which is described by equation $D(q)\ddot{q}=u-P(q\;\dot{q},\;\ddot{q})$ where u(t) is a control input. We employ two steps of controller design procedures. First, a global linearization is performed to yield a decoupled controllable linear system. Then a controller is designed for this linear system. We provide a rigorous analysis of the effect of uncertainty of the dynamics, which we study using robustness results in time domain based on a Lyapunov equation and the total stability theorem. Using this approach we simulate the performance of controller of a robot manipulator.

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Controller Design of Utility-connected Single-phase Inverter using d-q Theory (d-q이론을 이용한 개통 연계형 단상 인버터 제어기 설계기법)

  • Park, Chang-Joo;Kim, Chang-Hyun;Kim, Myung-Chul;Choi, Jae-Young
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.1247-1249
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    • 2003
  • Despite many advantages, d-q theory was available only for three phase system. But recently, some papers proposed the application methods of d-a theory or similar theories for single phase systems. This paper presents the control method of the utility-connected single-phase inverter using d-q theory. The suggested method gives single-phase system instantaneous controllability and also makes the realization of APF(Active Power Filter) without DFT operation and PFC(Power Factor Controller) possible. This paper deals with utility-connected single phase inverter with PFC function. The controller was verified by simulation tool.

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Preemptive Ethernet Controller to Improve Real-Time Characteristics of IEC 61850 Protocol (IEC 61850 프로토콜의 실시간성 향상을 위한 선점형 이더넷 컨트롤러)

  • Lee, Bum-Yong;Park, Tae-Rim;Park, Jae-Hyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.10
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    • pp.1923-1928
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    • 2010
  • The IEC 61850 protocol proposed for the interoperability between IEDs(intelligent electronic devices) adopts the prioritized switched ethernet as its communication channel because substation bus is utilized to exchange both real-time and non real-time messages. The prioritized switched ethernet uses IEEE 802.1Q/p QoS(Quality of Service) in addition to IEEE 802.3 ethernet to enhance the real-time characteristics. However, IEEE 802.1Q/p QoS has priority-blocking problem that occurs when higher-priority frame transmission request during lower-priority frame transmission. To resolve this problem, this paper proposes P(Preemptive)-Ethernet. P-Ethernet uses the modified IEEE 802.1Q/p frame format and new priority preemption mechanism. This paper also implements P-Ethernet controller using FPGA (Virtex-4) and MicroBlaze processor. From the implementation results, P-Ethernet controller shows a improved latency and jitter of transmission period compare to the normal ethernet controller.

A design of controller for robust servomechanism using LQG/LTR method (LQG/LTR 방법을 이용한 강인한 서어보메커니즘의 제어기 설계)

  • 최중락;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.483-487
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    • 1986
  • The LQG/LTR method is applied to the real servomechanism with the unknown modeling error and system noise variance Q$_{2}$. The equivalent discretized LQG controller is implemented on the 16-bit microcomputer and the experimental results show the improved stability and the satisfactory performance when the noise variance Q$_{2}$ is increased infinitly.

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A New Controller of Single Phase Active Power Filter Using Rotating Synchronous Frame d-q Transformation (회전하는 동기 좌표계 d-q 변환을 이용한 단상 능동 전력 필터의 새로운 제어기)

  • Kang, Min Gu
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.6
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    • pp.271-275
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    • 2014
  • A New Single Phase Active Power Filter Controller is proposed using Rotating Synchronous Frame d-q transformation. Instantaneous Active Power is calculated using d-q transformation. Average Value of Instantaneous Active Power is obtained using Low Pass Filter. Because power factor is corrected, source current is in phase with source voltage. Amplitude of source current is calculated using single phase power formula. Reference signal of compensated current of Active power filter is obtained from source current reference signal minus load current. Simulation is performed using hysteresis current controller in proposed new controller. Simulation result shows that because active power filter compensates load current, source current is in phase with source voltage and source current is sinusoidal. And Hilbert transformer is builded using all pass filter.

A Study of Thermal Power Plant Feedwater System with Modeling and L.Q.Controller (화력발전소 보일러 급수제어 계통의 모델링과 L.Q. 제어기 적용에 관한 연구)

  • 서진헌;황재호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.12
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    • pp.1281-1287
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    • 1990
  • A new thermal power plant feed-water system model, which is based on Astrom, is presented. Astrom's model has some difficulties in applying to practical systems because it is not able to measure the heat and energy transfer loss. Hence, in order to make up for these difficulties, the Gas State Equation is added to the model. Computer simulations are performed to show the validity of the new model at thermal power plant with practical boiler operating data and to verify the L.Q. controller effect on boiler drum level system.