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

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Robust Controller Design and Analysis Using Disturbance Observer and Integral Control (외란 관측기와 적분제어기를 이용한 강인 제어기 설계 및 분석)

  • Park, Hong-Seob;Lee, Chung-Woo;Chung, Chung-Choo
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.514-516
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    • 2005
  • 압전 구동기(Piezo actuator)는 수 나노미터 수준의 위치정밀도와 고분해능을 가지고 있으나 비선형 특성인 히스테리시스(Hysteresis)는 정상상태에서 위치 오차를 발생하는 주요 원인이 된다. 현재까지 히스테리시스를 보상하기 위해 피 프 포워드 제어 방법, Pl 제어 방법, $H_{\infty}$제어 방법 등이 연구되어 왔지만 저주파 대역의 외란(disturbance)까지 고려하여 시스 템을 주파수 영역에서 설계, 분석하는 방법에 대한 연구는 미흡하였다. 본 논문은 압전 구동기의 위치 제어를 위한 제어기의 설계와 이를 주파수 영역에서 분석하는 내용을 다룬다. 제어기의 설계는 히스테리시스를 보상하기 위해 극점 배치 방법과 외란 관측기(Disturbance observer)를 기본으로 하였으며 적분제어를 적용하여 시스템 민감도(sensitivity)를 개선하였다. 시뮬레이션과 실험을 통하여 설계한 제어기가 히스데리시스에 대한 보상과 민감도의 개선에 효율적임을 검증하였다.

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An Algorithm for Robust Noninteracting Control of Ship Propulsion System

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • v.14 no.4
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    • pp.393-400
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    • 2000
  • In this paper, a new algorithm for noninteracting control system design is proposed and applied to ship propulsion system control. For example, if a ship diesel engine is operated by consolidated control with controllable pitch propeller (CPP), the minimum fuel consumption is achieved satisfying the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption, and the both pitch angle of CPP and throttle valve angle are controlled simultaneously. In this context of view, this paper gives a controller design method for a ship propulsion system with CPP based on noninteracting control theory. Where, linear matrix inequality (LMI) approach is introduced for the control system design to satisfy the given $H_{\infty}$, constraint in the presence of physical parameter perturbation and disturbance input. To the end, the validity and applicability of this approach are illustrated by the simulation in the all operating ranges.

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A dynamic game approach to robust stabilization of time-varying discrete linear systems via receding horizon control strategy

  • Lee, Jae-Won;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.424-427
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    • 1995
  • In this paper, a control law based on the receding horizon concept which robustly stabilizes time-varying discrete linear systems, is proposed. A dynamic game problem minimizing the worst case performance, is adopted as an optimization problem which should be resolved at every current time. The objective of the proposed control law is to guarantee the closed loop stability and the infinite horizon $H^{\infty}$ norm bound. It is shown that the objective can be achieved by selecting the proper terminal weighting matrices which satisfy the inequality conditions proposed in this paper. An example is included to illustrate the results..

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Nonlinear Adaptive Control based on Lyapunov Analysis: Overview and Survey (리아프노브 분석법 기반 비선형 적응제어 개요 및 연구동향 조사)

  • Park, Jin Bae;Lee, Jae Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.3
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    • pp.261-269
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    • 2014
  • This paper provides an overview of the basics and recent studies of Lyapunov-based nonlinear adaptive control, the aim of which is to improve or maintain the performance and stability of the closed-loop system by cancelling out the presumable uncertainties in the nonlinear system dynamics. The design principles are essentially based on Lyapunov's direct method. In this survey, we provide a comprehensive overview of Lyapunov-based nonlinear adaptive control techniques with simplified effective design examples, which are to be elaborated as related recent results are gradually shown. The scope of the survey contains research on singularity problems in adaptive control, the techniques to deal with linearly and nonlinearly parameterized uncertainties, robust neuro-adaptive control, and adaptive control methodologies combined with various nonlinear control techniques such as sliding-mode control, back-stepping, dynamic surface control, and optimal/$H_{\infty}$ control.

Synchronous Control of a Two-Axes Driving System by Disturbance Observer (외란 관측기를 이용한 2축 구동 시스템의 동기제어)

  • Byeon, Jeong-Hwan;Yeo, Dong-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.2
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    • pp.242-249
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    • 2001
  • In this study, a methodology of synchronous control has been developed that can is applied to position synchronization of a two-axes driving system such as overhead crane. The synchronous error is caused by model uncertainties and torque load at each axis. To overcome these problems, the synchronous control system has been composed of two disturbance observers to calculate the torque disturbance and one synchronous controller to eliminate synchronous error. By considering model uncertainties of each axis, the synchronous controller has been designed using H(sub)$\infty$ control theory. The effectiveness of the proposed method has been verified through simulation.

A Study on the Control System Design of Sensorless Magnetic Levitation System (센서리스 자기 부상계의 제어계 설계에 관한 연구)

  • 김창화;김영복;양주호
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.175-181
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    • 1996
  • The magnetic levitation system is utilized in the magnetic bearing of high-speed rotor because of little friction, no lubrication, no noise and so on. The magnetic levitation system need the feedback controller for the stabilization of system, and gap sensors are usually used to measure the gap. The use of sensor is troublesome such as sensor trouble, discord between the measurement point and the control point etc. This paper presents the design of robust stabilizing controller by H$_{\infty}$ control theory using the sensorless method proposed already by authors in the magnetic levitation system. And we investigated both the validity of the designed controller and the usefulness of the sensorless method proposed by authors of magnetic levitation system through results of actual experiment..

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Robust and High Performance Control for Optical Disk Drive Systems Using Error based Disturbance Observer

  • Kwangjin Yang;Chung, Wan-Kyun;Youngil Youm
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.34.2-34
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    • 2001
  • There are many control methods guaranteeing the robustness of systems. Among them, H$\infty$ control, sliding mode control and disturbance observer have been used widely. Especially, disturbance observer(DOB) is one of the most popular methods because it is easy to apply and the cost to pay is low due to its simplicity. Conventional DOB utilizes output signal as a feedback signal. But in Optical Disk Drive(ODD) systems, the Position Error Signal(PES) is the only available one. So conventional DOB is not applicable. If we use error signal in stead of output signal, another form of DOB is made. We call it as Error based Disturbance Observer(EDOB). We show in this paper the difference between two systems, namely conventional DOB system and the EDOB system, and also show the effectiveness of EDOB through experiment.

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Application of the Robust Control Theory to the Dynamic Voltage Restorer

  • Y. Chun;Kim, J.;J. Jeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.38.2-38
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    • 2001
  • Recent trend of increasing automated factories needs supply of high quality power from the utilities. Among the items of the power quality, voltage sag can be compensated by Dynamic Voltage Restorer(DVR). The key feature of the DVR is high response with less transient period to recover from the voltage sag due to the lightning or line-to-ground faults. In this paper we report that H controller is very premising for the practical application to the controller of DVR. Experiment al results shown in this paper was obtained by applying the control algorithm to 20 kVA DVR system. The experimental set consist s of IGBT - based three phase inverter and the TMS320C32- 60 DSP used for main processor of the control board. T$\infty$ simulate the 50% voltage ...

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

  • Chae, Jang-Su;Park, Tae-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.4
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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.

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

  • Jeong, Byeong-Geon;Yang, Ju-Ho;Byeon, Jeong-Hwan
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.33 no.1
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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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