• Title/Summary/Keyword: H$\infty$ 제어

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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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Robust $H_{\infty}$ Controller Design for Steam Generator Water Level Control using Mixed $H_{\infty}$ Optimization Method (혼합 $H_{\infty}$ 최적화 기법을 이용한 견실 $H_{\infty}$ 증기발생기 수위제어기 설계)

  • 서성환;조희수;박홍배
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.363-369
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    • 1999
  • In this paper, we design the robust $H_{\infty}$ controller for water level control of steam generator using a mixed $H_{\infty}$ optimization with model-matching method. Firstly we choose the desired model which has good disturbance rejection performance. Secondly we design a stabilizing controller to keep the model-matching error small and also provide sufficiently large stability margin against additive perturbations of the nominal plant. Simulation results show that proposed robust $H_{\infty}$ controller at specific power operation has satisfactory performances against the variations of load power, steam flow rate, primary circuit coolant temperature, and feedwater temperature. It can be also observed that the proposed robust $H_{\infty}$ controller exhibits better robust stability than conventional PI controller.

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Congestion Control in ATM Networks using an $H_{\infty}$ Filter ($H_{\infty}$ 필터를 이용한 초고속 비동기전송망의 체증 제어)

  • Lee, Su-Gu;Kim, Young-Jung;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2137-2139
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    • 2003
  • 본 논문에서는 초고속 비동기전송(ATM)망에서의 체증 문제를 풀기위해 $H_{\infty}$ 필터 사용을 제안한다. 많은 제어기들에 대한 초기 연구들은 가용 비트율이 망 체증이 제거될 수 있도록 버퍼에서의 원하는 셀들의 큐의 길이를 원하는 값 범위내에서 성공적으로 조절될 수 있음을 보이고 있다. 본 논문에서는 망의 노이즈를 가우시안 랜덤 열로 근사화하는 ATM망에 대하여 현대 제어 기법인 $H_{\infty}$ 필터를 적용한다. 따라서 제안한 $H_{\infty}$ 필터는 망의 외란으로 밭생하는 망의 출력의 영향을 미리 주어지는 $H_{\infty}$ 노옴값 이내로 유지시켜준다. 따라서 미리 주어지는 $H_{\infty}$ 노옴값이 작다면 제안한 $H_{\infty}$ 필터는 외란에 강인한 성능을 보여줄 수 있다. $H_{\infty}$ 필터 이득은 대수적인 리카티 방정식의 해로 구해진다.

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$H_{\infty}$ Self-Tuning Control of a Flexible Link Robot with Unknown Payload (미지 부하 질량을 갖는 유연 링크 로봇의 $H_{\infty}$ 자기 동조 제어)

  • Han, Ki-Bong;Lee, Shi-Bok
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.160-168
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    • 1997
  • A $H_{\infty}$self-tuning control scheme for the tip position of a flexible link robot handling unknown loads is presented here. The scheme essentially comprises a recursive least-squares identification algorithm and $H_{\infty}$self-tunning controller. The $H_{\infty}$control low is designed to be robust to uncertain parameters and the self-tunning action provides adaption to unknown parameters. Through numerical study, the performance comparison of the $H_{\infty}$self-tuning controller with a constant gain $H_{\infty}$controller as well as a LQG self-tuning controller clearly shows its superior ability in handling load changes in quiescent states.nt states.

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Robust Positioning Control of a Flexible beam using $H_2/H_{\infty}$ and $\mu$-theory ($H_2$/H$\infty$$\mu$이론을 이용한 유연 빔의 위치제어)

  • 최연욱
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.101-107
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    • 2001
  • The objective of this paper is to present a method for designing robust positioning control systems of a flexible arm using mixed $H_2/H_{\infty}$ and $\mu$ theory. We begin with a description of the flexible arm based on the model identification method and discuss the derivation of the model uncertainty. The validity of the obtained model is confirmed experimentally. Next, a robust controller is designed based on the mixed $H_2/H_{\infty}$ and $\mu$ theory by which we can improve robustness of the entire system. On this occasion, we also propose a general plant formation suitable to mixed $H_2/H_{\infty}$ control and $\mu$-theory. Finally, the effectiveness of the proposed design method is verified through experimentation.

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$H_\infty$ Depth Controller Design for Underwater Vehicles (수중운동체의 $H_\infty$ 심도제어기 설계)

  • 이만형;정금영;김인수;주효남;양승윤
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.5
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    • pp.345-355
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    • 2000
  • In this paper, the depth controller of an underwater vehicle based on an $H_\infty$ servo control is designed for the depth keeping of the underwater vehicle under wave disturbances. The depth controller is designed in the form of the $H_\infty$ servo controller, which has robust tracking property, and an $H_\infty$ servo problem is considered for the $H_\infty$ servo controller design. In order to solve the $H_\infty$ servo problem for the underwater vehicle, this problem is modified as an $H_\infty$ control problem for the generalized plant that includes a reference input mode, and a suboptimal solution that satisfies a given performance criteria is calculated with the LMI (Linear Matrix Inequality) approach. The $H_\infty$ servo controller is designed to have robust stability about the perturbation of the parameters of the underwater vehicle and the robust tracking property of the underwater vehicle depth under wave force and moment disturbances. The performance, robustness about the uncertainties, and depth tracking property, of the designed depth controller is evaluated by computer simulation, and finally these simulation results show the usefulness and applicability of the proposed $H_\infty$ depth control system.

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A Design of GA-Based Model-Following Boiler-Turbine H∞ Control System Having Robust Performance (유전 알고리즘 기반의 강인한 성능을 가지는 모델추종형 보일러-터빈 H∞ 제어 시스템의 설계)

  • Hwang, Hyun-Joon
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.1
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    • pp.126-132
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    • 2012
  • This paper suggests a design method of the model-following H${\infty}$ control system having robust performance. This H${\infty}$ control system is designed by applying genetic algorithm(GA) with reference model to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by Glover-Doyle algorithm which can design H${\infty}$ controller in the state space. These weighting functions and design parameter ${\gamma}$ are optimized simultaneously in the search domain guaranteeing the robust performance of closed-loop system. The effectiveness of this H${\infty}$ control system is verified by applying to the boiler-turbine control system.

Thickness Control of Tandem Cold Mills Using Preview and $H_{\infty}$ Control Techniques (예견 및 $H_{\infty}$ 제어기법에 의한 연속 냉간 압연시스템의 두께 제어)

  • Kim, Sung-Su;Kim, Jong-Shik
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.7
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    • pp.529-536
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    • 2000
  • A robust controller to attenuate the various disturbances of tandem cold mills (TCM) is synthesized by measurement-feedback $H_{\infty}$ control techniques which can reflect the input direction of disturbances and the knowledge of entry thickness variation (disturbance) is synthesized by discrete-time measurement-feedback $H_{\infty}$ control theory. It is demonstrated that the $H_{\infty}$ preview control gain can be easily obtained by the seperation principle of the control and estimation problems in $H_{\infty}$ control. Finally the effectiveness of the proposed control method for TCM is evaluated by the computer simulation and compared to the other control methods which have been previously studied.

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Mixed $H^{2}$/$H^{\infty}$ controller design for linear system with time delay and parameter uncertainty (시간지연 및 파라미터 불확실성을 갖는 선형시스템의 혼합 $H^{2}$/$H^{\infty}$ 제어기 설계)

  • 이갑래;정은태;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.560-564
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    • 1996
  • A mixed H$^{2}$/$H^{\infty}$ controller design method for linear systems with time delay in all variables and parameter uncertainties in all system matrices is proposed. Robust $H^{\infty}$ performance and H$^{2}$ performance condition that accounts for model-matching of closed loop system and disturbance rejection is also derived. With expressing uncertain system with linear fractional transformation form, we transform the robust stability and performance problem to the H$^{2}$/$H^{\infty}$ optimization problem and design a mixed H$^{2}$/$H^{\infty}$ controller. Using the proposed method, mixed H$^{2}$/$H^{\infty}$ controller for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.t performance.ance.

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