• 제목/요약/키워드: $H_{\infty}$ robust controller

검색결과 359건 처리시간 0.041초

Optimal Design of Robust Quantitative Feedback Controllers Using Linear Programming and Genetic Algorithms

  • Bokharaie, Vaheed S.;Khaki-Sedigh, Ali
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.428-432
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    • 2003
  • Quantitative Feedback Theory (QFT) is one of most effective methods of robust controller design and can be considered as a suitable method for systems with parametric uncertainties. Particularly it allows us to obtain controllers less conservative than other methods like $H_{\infty}$ and ${\mu}$-synthesis. In QFT method, we transform all the uncertainties and desired specifications to some boundaries in Nichols chart and then we have to find the nominal loop transfer function such that satisfies the boundaries and has the minimum high frequency gain. The major drawback of the QFT method is that there is no effective and useful method for finding this nominal loop transfer function. The usual approach to this problem involves loop-shaping in the Nichols chart 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. In this paper, we approach the automatic QFT loop-shaping problem by using an algorithm involving Linear Programming (LP) techniques and Genetic Algorithm (GA).

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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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감쇠비 불확실성을 고려한 유연구조물의 H 제어기 설계 (H Controller Design of Flexible Space Structure with the Uncertainty of Damping Ratio)

  • 채장수;박태원
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.602-608
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    • 2002
  • The flexible structure like solar array and antenna in spacecraft shows very sensitive responses to the inner or outer disturbance and noise. And the spacecraft becomes more complex and larger as it has various mission and role. But since the spacecraft need to have the limited mass, the thin and light material should be selected and this necessity induces the decrease d natural frequency and structural stiffness. It reduces the ability of adapting to the disturbance and induces the structural unstability. Certainly, the disturbance does not only make the structural unstability, but also give the bad effect to the precise attitude control. So it is necessary to control the vibration in the space. In this paper, the flexible structure control modeling with piezo sensor and piezo actuator is developed. The model uncertainty of damping ratio is overcome by robust control. The system equation is induced by the finite element method.

선박 주행속도 변화를 고려한 Rudder-Roll Stabilization System 설계에 관한 연구 (A Study on Rudder-Roll Stabilization System Design for Ship with Varying Ship Speed)

  • 김영복;채규훈
    • 제어로봇시스템학회논문지
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    • 제8권5호
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    • pp.363-372
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    • 2002
  • In ship operation, the roll motions can seriously degrade the performance of mechanical and personnel effectiveness. So many studies for the roll stabilization system design have been performed and good results have been achieved. In many studies, the stabilizing fins are used. Recently rudders, which have been extensively modified, have been used exclusively to stabilize the roll. But, in the roll stabilization control system, the control performance is very sensitive to the ship speed. So, we can see that it is important to consider the ship speed in the rudder roll control system design. The gain-scheduling control technique is very useful in the control problem incorporating time varying parameters which can be measured in real time. Based on this fact, in this paper we examine the;$H_{\infty}$-Gain Scheduling control design technique. Therefore, we assume that a parameter, the ship speed which can be estimated in real time, is varying and apply the gain-scheduling control technique to design the course keeping and anti-rolling control system far a ship. In this control system, the controller dynamics is adjusted in real-time according to time-varying plant parameters. The simulation result shows that the proposed control strategy is shown to be useful for cases when the ship speed is varying and robust to disturbances like wind and wave.

횡방향 거동 특성을 고려한 부하모사 시스템 해석 (Analysis of Load Simulating System Considering Lateral Behavior of a Vehicle)

  • 김효준
    • 한국산학기술학회논문지
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    • 제20권5호
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    • pp.621-626
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    • 2019
  • 자동차의 과도한 차체 운동과 조종 불안정성을 유발하는 대표적인 외란 입력으로는 운전자에 의해 가해지는 조향 핸들 조작이다. 급격하고 과도한 핸들 조작은 SUV 차량처럼 기하학적 및 동역학적 특성에 따라 차량 전복 현상도 발생시킬 수 있다. 본 연구에서는 이에 대응할 수 있는 제어 시스템의 구조화에 대하여 다음과 같이 기초 연구를 수행하였다. 운전자 조종으로 유발되는 횡방향 거동에 대한 수학적 모델링을 수행하고, 이를 토대로 차체 운동을 제어할 수 있는 제어기를 설계하였다. 파라미터 불확실성으로 인한 모델링 오차에 대해 강건한 제어 성능을 확보하기 위하여 $H_{\infty}$ 알고리즘을 적용하였다. 비 연성화된 1/4 차량을 기반으로, 차체에 작용하는 모우멘트에 상응하는 동적 부하를 모사할 수 있는 모델을 제시하였다. 동적 시뮬레이션을 수행하여 부하 모사 모델의 타당성을 파악하였다. 차체- 차축- 서스펜션- 타이어로 조합되는 1/4 실험 차량 장치와 부하 모사 모듈, 서스펜션 제어 모듈 및 Hils 기술을 적용하는 차체 거동 제어 시스템에 대한 프레임워크를 제안하였다.

대형구조물의 진동 감소를 위한 슬라이딩 모드 퍼지 제어기의 설계 (Design of Sliding Mode Fuzzy Controller for Vibration Reduction of Large Structures)

  • 윤정방;김상범
    • 한국지진공학회논문집
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    • 제3권3호
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    • pp.63-74
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    • 1999
  • 대형구조물의 진동감소를 위한 슬라이딩 모드 퍼지 제어기(Sliding Mode Fuzzy Control SMFC)에 대하여 연구하였다 본 제어기에 사용된 퍼지 추론기의 규칙은 비선형 제어기법의 하나인 슬라이딩 모드 제어기를 기반으로 하여 구성되었다 그결과 제어기의 퍼지성은 제어시스템을 시스템 계수의 불확실성과 구조물에 작용되는 외부하중의 불확실성에 대하여 강인한 성질은 갖게 하였으며 제어 규칙의 비선형성으로 인하여 제어기는 선형제어기에 비하여 보다 효율적인 되었다 복잡한 수학 해석에 기반한 종래의 제어기법에 비하여 퍼지 이론에 기반한 본 제어기법은 제어기의 설계절차가 매우 편리하다는 장점을 갖게 된다. 제안된 제어기법의 검증을 위하여 미국 토목학회 산하 구조제어위원회(ASCE Committee on Structural Control)에서 주도한 벤치마크 문제에 대하여 적용시켜 보았다 본 연구의 제어결과를 다른 연구자들에 의하여 발표된 {{{{ ETA _mixed _2$\infty$ }}, optimal polynomial control neural networks control 슬라이딩 모드 제어의 벤치마크 결과와 비교하였으며 그 결과 제안된 제어기법이 구조물의 진동을 매우 효율적으로 감소시키며 제어기의 설계절차가 쉽고 편리함을 확일 할 수 있었다.

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로프 길이변화를 고려한 크레인의 흔들림 제어에 관한 연구: Gain-Scheduling 기법에 의한 제어기 설계 (A Study on the Sway Control of a Container Crane with Varying Rope Length Based on Gain-Scheduling Approach)

  • 김영완;김영복
    • 동력기계공학회지
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    • 제8권3호
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    • pp.58-66
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    • 2004
  • The sway motion control problem of a container hanging on the trolly is considered in the paper. In the container crane control problem, suppressing the residual swing motion of the container at the end of acceleration, deceleration or the case of that the unexpected disturbance input exists is main issue. For this problem, in general, many trolley motion control strategies are introduced and applied. In this paper, we introduce and synthesize a swing motion control system in which a small auxiliary mass is installed on the spreader made by ourselves. In this control system, the actuator reacting against the auxiliary mass applies inertial control forces to the container to reduce the swing motion in the desired manner. Especially, we apply the $H_{\infty}$ based gain-scheduling control technique the anti-sway control system design problem of the controlled plant. In this control system, the controller dynamics are adjusted in real-time according to time-varying plant parameters. And the simulation result shows that the proposed control strategy is shown to be useful to the case of time-varying system and, robust to disturbances like winds and initial sway motion.

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로프 길이 변화를 고려한 크레인의 흔들림 제어에 관한 연구;Gain-Scheduling 기법에 의한 제어기 설계 (A Study on the Sway Control of a Container Crane with Varying Rope Length Based on Gain-Scheduling Approach)

  • 김영완;김영복
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.631-636
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    • 2004
  • The sway motion control problem of a container hanging on the trolly is considered in the paper. In the container crane control problem, suppressing the residual swing motion of the container at the end of acceleration, deceleration or the case of that the unexpected disturbance input exists is main issue. For this problem, in general, many trolley motion control strategies are introduced and applied. In this paper, we introduce and synthesize a swing motion control system in which a small auxiliary mass is installed on the spreader made by ourselves. In this control system, the actuator reacting against the auxiliary mass applies inertial control forces to the container to reduce the swing motion in the desired manner. Especially, we apply the $H_{\infty}$ based gain-scheduling control technique the anti-sway control system design problem of the controlled plant. In this control system, the controller dynamics are adjusted in real-time according to time-varying plant parameters. And the experiment result shows that the proposed control strategy is shown to be useful to the case of time-varying system and, robust to disturbances like winds and initial sway motion.

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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.