• Title/Summary/Keyword: $H_{\infty}$ robust controller

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Robust PID Controller Design for Speed Control of BLDC Motors (BLDC 모터 속도제어를 위한 견실 PID 제어기 설계)

  • 양승윤;김인수;전완수
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.1
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    • pp.75-82
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    • 2002
  • In this paper, the robust PID(Proportional-Integral-Derivative) controller was designed for speed control of BLDC motors using the frequency region model matching method. It was designed the robust PID controller satisfying disturbance attenuation and robust tracking performance using an H$\infty$ control method. The robust PID controller gains with the performances of the designed H$\infty$ controller are determined using the model matching method at frequency domain. Consequently, simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking performance, and this study has usefulness and applicability for the speed control system design of BLDC motors.

$H_{\infty}$ Control of Seeker Scan-Loop using LSDP (LSDP를 이용한 탐색기 주사루프의 $H_{\infty}$ 제어)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.78-86
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    • 1995
  • $H_{\infty}$ Controller of seeker scan-loop is designed using LSDP proposed by McFarlane. The performance and robustness of $H_{\infty}$ controller are analyzed using robustness theorems by Lehtomaki and compared with those of the LQG/LTR controller. Especially, structured singular value .mu. -test of Doyle is used to evaluate robust performance of seeker scan-loop. It is demonstated that seeker scan-loop by $H_{\infty}$ controller is very robust to model uncertainties described by additive and multiplicative perturbations.

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Robust Controller Design for a Stabilized Head Mirror

  • Keh, Joong-Eup;Lee, Man-Hyung
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.4
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    • pp.78-86
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    • 2002
  • In this paper, LMI (Linear Matrix Inequality) based on H$\_$$\infty$/ controller for a lire of sight (LOS) stabilization system. It shows that the proposed controller has more excellent stabilization performance than that of the conventional PI-Lead controller. An H$\_$$\infty$/ control has been also applied to the system for reducing modeling errors and the settling time of the system. The LMI-based H$\_$$\infty$/ controller design is more practical in view of reducing a run-time than Riccati-based H$\_$$\infty$/ controller. This H$\_$$\infty$/ controller is available not only to decrease the gain in PI-Lead control, but also to compensate the identifications for the various uncertain parameters. Therefore, this paper, shows that the proposed LMI-based H$\_$$\infty$/ controller had good disturbance attenuation and reference input tracking performance compared with the control performance of the conventional controller under any real disturbances.

Robust PID Controller Tuning Technique and Applicationi to Speed Controller Design for BLDC Motors (견실 PID 제어기 조정기법 및 BLDC 모터의 속도제어기 설계에의 응용)

  • Kim, In-Soo;Lee, Young-Jin;Park, Sung-Jun;Park, Han-Woong;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.8
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    • pp.126-133
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    • 2000
  • This paper is a study on robust PID controller tuning technique using the frequency region model matching method.To design the robust PID controller satisfying disturbance attenuation and robust tracking property for a reference input first an {{{{ETA _$\infty$}}}} controller satisfying given performances is designed using an H$_{\infty}$ control method, And then the parameters(proportional gain integral gain and derivation gain) of the robust PID controller with the performances of the desinged H$_{\infty}$ controller are determined using the model matching method at frequency domain. in this paper this PID controller tuning technique is applied to PID speed controller design for BLDC motors. Consequently simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking property and this study has usefulness and applicability for the speed control system; design of BLDC motors.

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The $H_2/ H_\infty$ control of inverted pendulum system using linear fractional representation (도립진자 시스템에 선형 분수 표현법을 이용한 $H_2/ H_\infty$ 제어)

  • 곽칠성;최규열
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.4
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    • pp.875-885
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    • 1999
  • This paper presents an application of LMI-based techniques to the mixed $H_2/ H_\infty$ control of an inverted pendulum. The linear model of the inverted pendulum represented by an LFR(Linear Fractional Representation) model of uncertainties is derived. Considered uncertainties are three nonlinear components and a parameter uncertainty Augmenting the LFR model by adding weighting functions, we get a generalized plant, for which we design a mixed $H_2/ H_\infty$ controller using the LMI technique. To evaluate control performances and robust stability of the mixed $H_2/ H_\infty$ controller designed, we compare it with the $ H_\infty$controller through the simulation and experiment. The mixed $H_2/ H_\infty$ controller shows the better control performances and robust stability than the $H_\infty$controller in the sense of pendulum angle.

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Damping of Low Frequency Oscillation in Power System using Robust Control of Superconductor Flywheel Energy Storage System (초전도 플라이휠 에너지 저장장치의 강인제어를 이용한 전력계통의 저주파진동 억제)

  • Lee, J.P.;Kim, H.G.
    • Progress in Superconductivity
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    • v.14 no.1
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    • pp.52-59
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    • 2012
  • In this paper, the robust superconductor flywheel energy storage system(SFESS) controller using $H_{\infty}$ control theory was designed to damp low frequency oscillation of power system. The main advantage of the $H_{\infty}$ controller is that uncertainties of power system can be included at the stage of controller design. Both disturbance attenuation and robust stability for the power system were treated simultaneously by using mixed sensitivity $H_{\infty}$ problem. The robust stability and the performance for uncertainties of power system were represented by frequency weighted transfer function. To verify control performance of proposed SFESS controller using $H_{\infty}$ control, the closed loop eigenvalue and the damping ratio in dominant oscillation mode of power system were analyzed and nonlinear simulation for one-machine infinite bus system was performed under disturbance for various operating conditions. The results showed that the proposed $H_{\infty}$ SFESS controller was more robust than conventional power system stabilizer (PSS).

Tracking Performance Improvement of a Magnetic Levitation Based Fine Manipulator (자기부상식 미동 매니퓰레이터의 추종성능 향상)

  • Choi, Kee-Bong;Kim, Soo-Hyun;Kwak, Yoon-Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.58-65
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    • 1999
  • A magnetic levitation system requires a robustness to overcome a dynamic instability due to disturbances. In this paper a robust controller for a magnetically levitated fine manipulator is presented. The proposed controller consists of following two parts: a model reference controller and an $H_{\infty}$ controller. First, the model reference control stabilizes the motion of the manipulator. Then, the motion of the manipulator follows that of the reference model. Second, the $H_{\infty}$ control minimizes errors generated from the model reference control due to noise and disturbance since the $H_{\infty}$ control is a kind of robust control. The experiments of position control and tracking control are carried out by use of the proposed controller under the conditions of free disturbances and forced disturbances. Also, the experiments using PID controller are carried out under the same conditions. The results from above two controllers are compared to investigate the control performances. As the results, it is observed that the proposed controller has similar position accuracy but better tracking performances comparing to the PID controller as well as good disturbance rejection effect due to the robust characteristics of the controller. In conclusion. it is verified that the proposed controller has the simple control structure, the good tracking performances and good disturbance rejection effect due to the robust characteristics of the controller.

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Robust $H^{\infty}$ Performance Controller Design with Parameter Uncertainty and Unmodeled Dynamics (파라미터 불확실성 및 모델 불확실성에 대한 $H^{\infty}$ 견실성능 제어기 설계)

  • Lee, Kap-Rai;Oh, Do-Chang;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.9-16
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    • 1997
  • The method of designing robust two degree of freedom(2 DOF) controllers for linear systems with parameter uncertainties and unmodeled dynamics is presented in this paper. Robust performance condition that accounts for robust model matching of closed loop system and disturbance rejection is derived. Using the robust performance condition, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while prefilter is used to improve the robust model matching properties. The $H^{\infty}$ and $\mu$ controller for six degree of freedom vehicle with parameter variations are designed and compared. Simulations for hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.

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A study on the H_$\infty$ robust controller of induction motors (유도전동기의 H_$\infty$강인제어에 관한 연구)

  • 김민찬;박승규;진승오
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1448-1451
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    • 1997
  • In this paper, a speed control of nin-servo induction motor is considered. In this case, it is difficult to satisfy precise control performance. SO H.inf. robust controller is designed for this problem by usign polynomial approach and Youla parameterization.

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Design of an LMI- Based H^{\infty} Servo Controller for Tandem Cold Mill (LMI 에 기초한 연속 냉간압연기의 H^{\infty} 서보 제어기 설계)

  • Kim, In-Soo;Hwang, I-Cheol;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.1
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    • pp.25-34
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    • 2000
  • In this paper, we design a H^\infty servo controller for gauge control of tandem cold mill. To improve the performance of the AGC(Aotomatic Gauge Control) system based on the Taylor linearized model of tandem cold mill, the H^\infty servo controller is designed to satisfy robust stability, disturbance attenuation and robust tracking properties. The H^\infty servo controller problem is modified as an usual H^\infty control problem, and the solvability condition of the H^\infty servo problem depends on the solvability of the modified H^\infty control problem. Since this modified problem does not satisfied standard assumptions for the H^\infty control problem, it is solved by an LMI(Linear Matrix Inequality) technique. Consequently, the comparison between the H^\infty servo controller and the existing PID/FF(FeedForward) controller shows the usefulness of this study.

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