• 제목/요약/키워드: $H_{\infty}$ loop shaping

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샘플치 시스템의 루프정형 2자유도 H_{\infty}디지털 제어기 설계 (The Design of Loop-shaping Two-degree-of-freedom H_{\infty} Digital Controller for Sampled-data System)

  • 이상철;박종우;조도현;이종용;이상효
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권9호
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    • pp.495-503
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    • 2000
  • In this paper we propose a design procedure of loop-shaping two-degree-of-freedom H$\infty$ digital controller for sampled-data system. We extend the continuous time loop-shaping two-degree-of-freedom H$\infty$ control problem to sampled-data system. The configuration of generalized plant is modified for sampled-data system. And then using continuous lifting we obtain the digital controller. In the final stage of loop-shaping procedure the problem of absorbing weighting functions is discussed. We summarize this study to the design procedure and illustrate the application for an inverted pendulum on the cart.

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H-infinity Loop Shaping 방법을 이용한 BLDC 전동기 핀 위치제어시스템 제어기 설계 (Controller Design of BLDC Motor Fin Position Servo System by Employing H-infinity Loop Shaping Method)

  • 주학림;목형수;이형근;한수희;서현욱
    • 전력전자학회논문지
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    • 제24권1호
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    • pp.49-55
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    • 2019
  • This study proposes a robust control of a fin position servo system using the H-infinity loop-shaping method. The fin position control system has a proportional (P) position controller and a proportional-integral (PI) controller. In this work, the position control loop requires a wide bandwidth. No current control loop exists due to the compact design of the system. Hence, the controller parameters are difficult to determine using the traditional cascade design method. The $H_{\infty}$ controller design method is used to design the controller's gain to achieve good performance and robustness. First, the transfer function of the system, which can be divided into tunable and fixed parts, is derived. The tunable part includes the position P controller and speed PI controller. The fixed part includes the rest of the system. Second, the optimized controller parameters are calculated using Matlab $H_{\infty}$ controller design program. Finally, the system with optimized controller is tested by simulation and experiment. The control performance is satisfactory, and the $H_{\infty}$ controller design method is proven to be valid.

Automatic Blood Pressure Control Using PI Controller with $H_{\infty}$ Loop-Shaping

  • Han, Jeong-Yup;Lee, Sang-Kyung;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.326-329
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    • 2004
  • In this paper, we show a new form of blood pressure controller combined PI control with $H_{\infty}$ loop-shaping. Hypertensive patients or post-operative patients need to maintain normally blood pressure. Exact regulation of blood pressure is needed for maintaining variable blood pressure of preventing complications. The regulation of blood pressure is achieved by injecting drugs, and usually sodium nitroprusside is used as those kinds of drugs. It is necessary to control the infusion rate sodium-nitroprusside carefully to achieve the desired blood pressure. It has been known that regulation of blood pressure by automatic controller is more effective than regulation of blood pressure by human operators. The control of blood pressure has many constraints and uncertainties. Most of biological system has the time-varying variables and the side effects such as increased risk of sepsis and organ failure. To solve such a problem, we design a new robust PI controller using $H_{\infty}$ loop-shaping to decrease noise effects that come out from human body and errors for time delay. The system with designed controller shows more stable control of mean blood pressure and more robust performance for uncertainties. Validation methods for the control performance are confirmed to computer simulations.

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A Study on Power System Stability Enhancement by Robust Control of SPFC and Generators

  • Lee, Byung-Ha
    • KIEE International Transactions on Power Engineering
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    • 제4A권3호
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    • pp.109-114
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    • 2004
  • In this paper, the H$\infty$ control method is applied in the control of SPFC and generators in order to obtain the robust stability performance of the power system. Moreover, a SPFC H$\infty$ controller based on loop shaping is designed to achieve first-rate tracking properties in addition to the robust stability. This robust control method is applied to a Ward and Hale 6-bus power system and the effects are analyzed. The MATLAB program is used for simulation of the robust controller.

도립진자 시스템의 $H_{\infty}$ 제어기 설계 (Design of $H_{\infty}$Controller for the inverted pendulum system)

  • 서강면;강문성
    • 한국정보통신학회논문지
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    • 제10권10호
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    • pp.1796-1803
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    • 2006
  • 본 연구에서는 비선형성이 강한 대표적인 불안정한 시스템으로 새로운 제어 이론의 유효성을 실증하고 평가하기에 적합한 도립 진자 시스템의 강인 안정 및 강인 제어 성능을 확보하기 위하여 $H_{\infty}$ 제어 이론을 도입하여 최적 제어기를 설계하였다. 그리고, 저역통과 필터를 제어 대상 시스템과 종속으로 결합시켜 개루프 전달함수의 형성(loop shaping)을 시도함으로서, 감도함수 및 상보감도함수가 바람직 한 주파수 특성을 갖도록 하였다. 먼저, 설계한 $H_{\infty}$제어기를 도립진자 제어시스템에 적용하여 시뮬레이션 하였고, 그 결과를 전통적인 기법으로 산업현장에서 널리 사용하고 있는 PID제어기를 채용한 시스템의 출력과 비교하여 그 가능성을 확인하였다. 그런 다음, 설계 한 제어기를 실제 시스템에 적용하여 실험하였다. 시뮬레이션 및 실험 결과를 통해, $H_{\infty}$ 제어기는 모델링 오차, 외란 및 노이즈의 영향을 줄이면서 제어목표를 잘 추종하는 것으로 나타나 안정도 및 제어성능이 우수함을 확인할 수 있었다.

2자유도 $H_{\infty}$제어기를 이용한 비행체 자동조종장치 설계 (Autopilot Design with Two Degree of Freedom $H_{\infty}$ Control Method)

  • 최광진;황준하;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1304-1307
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    • 1996
  • In this paper, we present a robust Two Degree of Freedom (TDF) $H_{\infty}$ controllers for a missile system. The feedback controller is designed to meet robust stability and disturbance rejection specifications while the prefilter is used to improve the robust model matching properties of the closed loop system. As the perturbed model, we use the normalized coprim factor perturbations. These controllers are designed using $H_{\infty}$ optimization procedures, and applied to a missile model via simulation.

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Robust Control of Induction Motor with HTheory based on Loopshaping

  • Benderradji, Hadda;Chrifi-Alaoui, Larbi;Mahieddine-Mahmoud, Sofiane;Makouf, Abdessalam
    • Journal of Electrical Engineering and Technology
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    • 제6권2호
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    • pp.226-232
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    • 2011
  • The $H_{\infty}$ approach, adopted in this paper, is based on loop shaping using a normalized coprime factor combined with a field-oriented control to control induction motor. We develop two loops. The first one, the inner loop, controls the stator current by $H{\infty}$ controller in order to obtain good performance. The second loop, the outer one, guarantees stability and tracking performance of speed and rotor flux using a proportional integral controller. When the rotor flux cannot be measured, we introduce a flux observer to estimate the rotor flux. Simulation and experimental results are presented to validate the effectiveness and the good performance of this control technique.

정규화 소인수분해를 이용한 탐색기 주사루프의 2자유도 $H_{\infty}$ 제어 (Two-degree-of freedom $H_{\infty}$ control of a seeker scan loop using normalized coprime factorization)

  • Lee, H.P.
    • 한국정밀공학회지
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    • 제14권11호
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    • pp.102-109
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    • 1997
  • A two-degree-of freedom (TDF) $H_{\infty}$controller for a seeker scan loop is presented for the purpose of improving scanning performances. The perturbed plant model is characterized via the normalized coprime factorization. The TDF $H_{\infty}$controller is designed based on the loop shaping design procedure and model matching approach, and its performances are evaluated and compared with those of a previous work. It is demonstrated that the proposed TDF $H_{\infty}$controller is more effective to the control of the seeker scan loop than the previous controller.oller.

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탐색기 주사루프의 2자유도 강인제어기 설계 (Two Degree of Freedom Robust Controller Design of a Seeker Scan-Loop)

  • 이호평;송창섭
    • 한국정밀공학회지
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    • 제12권10호
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    • pp.157-165
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    • 1995
  • The new formulation of designing the two degree of freedom(TDF) robust controller is proposed using $H_{\infty}$optimization and model matching method. In this formulation the feedback controller and feedforward controller are designed in a single step using $H_{\infty}$optimization procedure. Roughly speaking, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while the feedforward controller is used to improve the robust model matching properties of the closed loop system. The proposed formulation will be illustrated and evaluated on a seeker scan-loop. And the performances of TDF robust controller are compared with those of the $H_{\infty}$ controller designed using Loop Shaping Design Procedure proposed by McFarlane and Glover.lover.

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누적방지 무충돌 전환 제어기의 설계와 비선형 보일러 시스템 적용 (Design of the Anti-windup and Bumpless Transfer Controller with Application to Nonlinear Boiler Systems)

  • 이영삼;이명의;권오규
    • 제어로봇시스템학회논문지
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    • 제6권4호
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    • pp.247-253
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    • 2000
  • In this paper, we deal with the full range control problem of nonlinear boiler systems subject to complex actuator constraints. Firstly, $H\infty$ loop shaping design procedure[10] is used for the controller design. Secondly, modified high-gain feedback[11] for the loop shaping controller is adopted for the anti-windup function and the bumpless transfer technique between controllers is proposed for the full range control of nonlinear systems. Finally, the performance of the proposed controller is demonstrated through the simulation studies.

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