• 제목/요약/키워드: H_{\infty}Control

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강인한 제어기를 이용한 공탄성 시스템의 응답특성 (Response Characteristics of Aeroelastic Systems Using Robust Controller)

  • 나성수;정인주
    • 한국소음진동공학회논문집
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    • 제15권4호
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    • pp.437-444
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    • 2005
  • 이 논문은 비압축성 유동장에 노출된 2차원 플랩이 있는 날개의 단면에 대한 강인한 공탄성 제어기법을 소개하고 있다. 강인한 제어기는 다목적 상태궤환 합성법을 위해 선형행렬부등식을 이용하여 설계되었다. 제어기의 설계목적은 모델불확실성이 존재하는 상황에서 주파수영역에서의 성능과 시간영역에서의 성능을 함께 만족시키는 것으로 하였다. 수치예제들은 2차원-3자유도 플랩이 있는 날개 단면의 공탄성 응답을 감쇠시키는데 있어서 선형행렬부등식의 접근법의 유효성을 잘 제시하고 있다.

AN LMI APPROACH TO AUTOMATIC LOOP-SHAPING OF QFT CONTROLLERS

  • Bokharaie, Vaheed S.;Khaki-Sedigh, Ali
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.433-437
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    • 2003
  • Quantitative Feedback Theory (QFT) is one of effective methods of robust controller design. In QFT design we can considers the phase information of the perturbed plant so it is less conservative than $H_{\infty}$ and ${\mu}$-synthesis methods and as be shown, it is more transparent than the sensitivity reduction methods mentioned . In this paper we want to overcome the major drawback of QFT method which is lack of an automatic method for loop-shaping step of the method so we focus on the following problem: Given a nominal plant and QFT bounds, synthesize a controller that achieves closed-loop stability and satisfies the QFT boundaries. The usual approach to this problem involves loop-shaping in the frequency domain by manipulating the poles and zeros of the nominal loop transfer function. This process now aided by recently developed computer aided design tools proceeds by trial and error and its success often depends heavily on the experience of the loop-shaper. Thus for the novice and First time QFT user, there is a genuine need for an automatic loop-shaping tool to generate a first-cut solution. Clearly such an automatic process must involve some sort of optimization, and while recent results on convex optimization have found fruitful applications in other areas of control theory we have tried to use LMI theory for automating the loop-shaping step of QFT design.

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불확실성을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어에 관한 연구 (A Study on the Robust Control of Horizontal-Shaft Magnetic Bearing System Considering Perturbation)

  • 김창화;정병건;양주호
    • Journal of Advanced Marine Engineering and Technology
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    • 제34권1호
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    • pp.92-101
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    • 2010
  • 본 연구에서는 회전체를 지지하는 자기 베어링에 관하여, 2장에서는 적분형 서보계를 이용하여 횡축형 자기베어링 시스템(Horizontal-shaft Magnetic Bearing System: HMBS)에 대한 불확실성을 고려하면서 과도상태 응답개선에 대한 이론적인 고찰과 제어기설계 수식을 유도한다. 그리고 HMBS에 대해 물리 퍼래미터 변동에 대한 강인성과 외란의 영향을 저감하고 기준위치 변경에 따른 추종성을 갖도록 상태 피드백 제어기를 LMI 기법을 이용하여 설계한다. 3장에서는 설계한 제어칙을 가지고 시스템 불확실성의 변동에 대해 시간영역의 설계사양을 고려한 경우와 고려하지 않은 경우에 대하여 시뮬레이션을 행하고 실제 적용 가능성을 검토한다.

A new approach to deal with sensor errors in structural controls with MR damper

  • Wang, Han;Li, Luyu;Song, Gangbing;Dabney, James B.;Harman, Thomas L.
    • Smart Structures and Systems
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    • 제16권2호
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    • pp.329-345
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    • 2015
  • As commonly known, sensor errors and faulty signals may potentially lead structures in vibration to catastrophic failures. This paper presents a new approach to deal with sensor errors/faults in vibration control of structures by using the Fault detection and isolation (FDI) technique. To demonstrate the effectiveness of the approach, a space truss structure with semi-active devices such as Magneto-Rheological (MR) damper is used as an example. To address the problem, a Linear Matrix Inequality (LMI) based fixed-order $H_{\infty}$ FDI filter is introduced and designed. Modeling errors are treated as uncertainties in the FDI filter design to verify the robustness of the proposed FDI filter. Furthermore, an innovative Fuzzy Fault Tolerant Controller (FFTC) has been developed for this space truss structure model to preserve the pre-specified performance in the presence of sensor errors or faults. Simulation results have demonstrated that the proposed FDI filter is capable of detecting and isolating sensor errors/faults and actuator faults e.g., accelerometers and MR dampers, and the proposed FFTC can maintain the structural vibration suppression in faulty conditions.

Robust Controller Design for Parametrically Uncertain System

  • Tipsuwanporn, V.;Piyarat, W.;Witheephanich, K.;Gulpanich, S.;Paraken, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.92-95
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    • 1999
  • The design problem of the control system is the ability to synthesize controller that achieve robust stability and robust performance. The paper explains the Finite Inclusions Theorem (FIT) by the procedure namely FIT synthesis. It is developed for synthesizing robustly stabilizing controller for parametrically uncertain system. The fundamental problem in the study of parametrically uncertain system is to determine whether or not all the polynomials in a given family of characteristic polynomials is Hurwitz i.e., all their roots lie in the open left-half plane. By FIT it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis. An example shows the simplicity of using the FIT synthesis to directly search for robust controller of parametrically uncertain system by way of solving a sequence of systems of linear inequalities. The systems of inequalities are solved via the projection method which is an elegantly simple technique fur solving (finite or infinite) systems of convex inequalities in an arbitrary Hilbert space. Results from example show that the controller synthesized by FIT synthesis is better than by H$\sub$$\infty$/ synthesis with parametrically uncertain system as well as satisfied the objectives for a considerably larger range of uncertainty.

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On the Full Stand Modeling and Tension Control for the Hot Strip Finishing Mill with PID Structure

  • Ahn, Byoung-Joon;Park, Ju-Yong;Chang, Yu-Shin;Lee, Man-Hyung
    • Journal of Mechanical Science and Technology
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    • 제18권7호
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    • pp.1062-1073
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    • 2004
  • We describe a looper controller design for a hot strip finishing mill in steel plants. The main function of the looper system is to balance the mass flow of the strip by accumulating material in the middle of the stands. Another function is to control the strip tension which influences the width of the strip. To ensure strip quality, it is very important to control the tension of the hot strip finishing mill. However, because there is a mutual interaction between the looper angle and the strip tension, it is difficult to control the looper system. Previous researches examined only the operation of a single stand. But it is not sufficient to examine the operation and effect of whole stands because the operation is wholly interdependent. In this paper, we present a full model of the hot strip finishing mill in order to more effectively control strip tension. We propose several control methods for the full-stand hot strip finishing mill, denoted as conventional PI, PI with cross gain, and coefficient diagram method (CDM) PID control. In the real plants, there are some problems by using higher order controllers such as LQ, LQG and H$\_$$\infty$/. By comparison, the PID controller is very simple and easy to apply to all real plants. To that end, we present our findings on PID controls and their potential use in the hot strip finishing mill.

Control of the VIV of a cantilevered square cylinder with free-end suction

  • Li, Ying;Li, Shiqing;Zeng, Lingwei;Wang, Hanfeng
    • Wind and Structures
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    • 제29권1호
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    • pp.75-84
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    • 2019
  • A steady slot suction near the free-end leading edge of a finite-length square cylinder was used to control its aerodynamic forces and vortex-induced vibration (VIV). The freestream oncoming flow velocity ($U_{\infty}$) was from 3.8 m/s to 12.8 m/s. The width of the tested cylinder d = 40 mm and aspect ratio H/d = 5, where H was the height of the cylinder. The corresponding Reynolds number was from 10,400 to 35,000. The tested suction ratio Q, defined as the ratio of suction velocity ($U_s$) at the slot over the oncoming flow velocity at which the strongest VIV occurs ($U_{\nu}$), ranged from 0 to 3. It was found that the free-end slot suction can effectively attenuate the VIV of a cantilevered square cylinder. In the experiments, the RMS value of the VIV amplitude reduced quickly with Q increasing from 0 to 1, then kept approximately constant for $Q{\geq}1$. The maximum reduction of the VIV occurs at Q = 1, with the vibration amplitude reduced by 92%, relative to the uncontrolled case. Moreover, the overall fluctuation lift of the finite-length square cylinder was also suppressed with the maximum reduction of 87%, which occurred at Q = 1. It was interesting to discover that the free-end shear flow was sensitive to the slot suction near the leading edge. The turbulent kinetic energy (TKE) of the flow over the free end was the highest at Q = 1, which may result in the strongest mixing between the high momentum free-end shear flow and the near wake.

경사면을 주행하는 차륜형 역진자를 위한 선형행렬부등식 기반 혼합 H2/H 상태피드백 제어기 설계 (A Mixed H2/H State Feedback Controller Based on LMI Scheme for a Wheeled Inverted Pendulum running on the Inclined Road)

  • 이세한;이상용
    • 한국지능시스템학회논문지
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    • 제20권5호
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    • pp.617-623
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    • 2010
  • 본 논문에서는 차륜형 역진자에 적용되는 LMI 제어기 설계와 그 수치 시뮬레이션이 수행되었다. 차륜형 역진자는 2개의 평형점을 갖고 있는 역진자의 일종이다. 불안정한 평형점에 대하여 평형을 유지하기 위하여 차륜형 역진자는 지속적으로 제어되어야 한다. 경사면을 고려하여 차륜형 역진자의 동역학 방정식이 유도되었다. 경사면을 적극적으로 고려하여 차륜형 역진자를 안정화 시킬 수 있는 제어기를 구성하는데 선형행렬부등식 기법이 적용되었다. LMI 기반 제어기가 평면과 경사면에 대해서 유효함을 보이기 위해서 다양한 수치 시뮬레이션이 수행되었다.

실용화를 고려한 Anti-Sway 시스템 구축: 카메라를 이용한 크레인 운동 계측 및 제어 (A Development of Anti-sway System for Real Application: Measurement and Control of Crane Motions Using Camera)

  • 카와이 히데키;김영복;최용운;양주호
    • 한국해양공학회지
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    • 제22권4호
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    • pp.90-96
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    • 2008
  • In general, the swing motions of a crane are controlled and suppressed by controlling the trolley motion. In many of our previous studies, we suggested a new type of anti-sway control system for a crane. In this proposed control system, a small auxiliary mass (moving-mass) is installed on the spreader and moving this auxiliary mass controls tire swing motion. The actuator reaction against the auxiliary mass applies inertial control forces to the container in order to reduce the swing motion in the desired manner. However, measuring systems based on a laser sensor or other means are not veryuseful in real-worldapplications. So, in this paper, animage sensor is used to measure the motions of the spreader and the measured data are fed back to the controller in real time. The applied image processing technique is a kind of robust template matching method called Vector Code Correlation (VCC), which was devised to consider real environmental conditions. The H $\infty$ based control technique is applied to suppress the swing motion of the crane. Experimental results showed that the proposed measurement and control system based on an image sensor is useful and robust to disturbances.

대형 저속 디젤기관의 속도제어를 위한 로바스트 서보 제어기 설계 (Design of Robust Servo Controller for Large Size Low Speed Diesel Engines)

  • 정병건;양주호;변정환
    • 수산해양기술연구
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    • 제33권1호
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    • pp.46-58
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    • 1997
  • The energy saving is one of the most important factors for profit in marine transportation. In order to reduce the fuel oil consumtion the ship's propulsion efficiency must be increased as possible. The propulsion efficiency depends upon a combination of an engine and a propeller. The propeller has better efficiency as lower rotational speed. This situation led the engine manufacturers to design the engine that has low speed, long stroke and a small number of cylinders. Consequently, the variation of rotational torque became larger than before because of the longer delay-time in fuel oil injection process and an increased output per cylinder. As this new trends the conventional mechanical-hydrualic governors for engine speed control have been replaced by digital speed controllers which adopted the PID control or the optimal control algorithm. But these control algorithms have not enough robustness to suppress the variation of the delay-time and the parameter perturbation. In this paper we consider the delay-time and the perturbation of engine parameters as the modeling uncetainties. Next we design the robust servo controller which has zero offset in steady state engine speed, based on H sub($\infty$) control theory. The validity of the controller was investigated through the response simulation. We used a personal computer and an analog computer as the digital controller and the engine (plant) part respectively. And, we could certify that the designed controller maintains its robust servo performance even though the engine parameters may vary.

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