• Title/Summary/Keyword: Disturbance Attenuation

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Structural Analysis and Design of Robust Motion Controllers for High-Accuracy Positioning Systems

  • Kim, Bong-Keun;Chung, Wan-Kyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.467-467
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    • 2000
  • In this paper, a structural design method of robust motion controllers for high-accuracy positioning systems, which makes it possible to predict the performance of the whole closed-loop system, is proposed. First, a stabilizing control input is designed based on robust internal-loop compensate.(RTC) for the system in the presence of uncertainty and disturbance. Next, using the structural characteristics of the RIC, disturbance attenuation properties and the performance of the closed-loop system determined by the variation of controller gains are analyzed. Through this analysis, in some specific applications, it is shown that if the control gain of RIC is increased by N times, the magnitude of error is reduced to its 1/N. Finally, the proposed method is verified through experiments using a high-accuracy positioning system used in the semiconductor chip mounting devices.

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Structural Design of Sliding Mode Controllers Using Robust Inernal-Loop Compensator (강인 내부루프 보상기를 이용한 슬라이딩 모드 제어기의 구조적 설계)

  • Kim, Bong-Keun;Chung, Wan-Kyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.4
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    • pp.351-361
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    • 2001
  • In this paper, a generalized framework called as robust internal-loop compensator(RIC) is presented, and by using this, a structural design method of sliding of sliding mode controller is proposed. First, a general sliding mode controller is derived and a stabilizing control input is designed based on Lyapunov redesign for the system in the presence of uncertainty and disturbance. And adopting the internal model following control, RIC is proposed. Next, using the structural characteristics of the proposed RIC, disturbance attenuation characteristics are analyzed and the performance of the closed-loop system is predicted. Through this analysis, it is shown that if the control gain of RIC is increased by N times, the magnitude of error is reduced to its 1/N. the proposed method is verified through experiments using a high-precision positioning system and the performance is evaluated.

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Mixed $H_2/H_{\infty}$ Control of Two-wheel Mobile Robot

  • Roh, Chi-Won;Lee, Ja-Sung;Lee, Kwang-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.438-443
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    • 2003
  • In this paper, we propose a control algorithm for two-wheel mobile robot that can move the rider to his or her command and autonomously keep its balance. The control algorithm is based on a mixed $H_2/H_{\infty}$ control scheme. In this control problem the main issue is to move the rider while keeping its balance in the presence of disturbances and parameter uncertainties. The disturbance force caused by uneven road surfaces and the uncertainty due to different rider's heights are considered. To this end we first consider a state feedback controller as a basic framework. Secondly, we obtain the state feedback gain $K_2$ minimizing the $H_2$ norm and the state feedback gain $K_{\infty}$ minimizing the $H_{\infty}$ norm over the whole range of parameter uncertainty. Finally, we select mixed $H_2$/$H_{\infty}$ state feedback controller K as the geometric mean of $K_2$ and $K_{\infty}$. Simulation results show that the mixed $H_2/H_{\infty}$ state feedback controller combines the effects of the optimal $H_2$ state feedback controller and robust $H_{\infty}$ controller state feedback controller efficiently in the presence of disturbance and parameter uncertainty.

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Decentralized Output-feedback Stabilization of Linear Time-invariant Interconnected Systems with Delays

  • Shim, Duk-Sun
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.158-162
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    • 1998
  • We study the decentralized stabilization problem of linear time-invariant large-scale interconnected systems with delays without any system structure. We obtain sufficient stability conditions for interconnected systems which are equivalent to disturbance attenuation of some scaled system. A decentralized output-feedback controller is obtained using standard H$\infty$ control theory. The obtained controller is delay-independent. We also obtain an observer for the interconnected system.

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Adaptive Output Feedback Controllers for Feedback Passive Nonlinear Systems

  • Son, Young I.;Shim, Hyungbo;Shim, Nam H.;Seo, Jin H.
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.59.3-59
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    • 2002
  • $\textbullet$ Contents 1: Preliminaries on passivity and feedback passivity $\textbullet$ Contents 2: Assumptions in the paper $\textbullet$ Contents 3: Adaptive output feedback controllers $\textbullet$ Contents 4: Adaptive disturbance attenuation $\textbullet$ Contents 5: Adaptive passification $\textbullet$ Contents 6: An illustrative numerical example

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Stabilization Control for Limit Cycle of an Inverted Pendulum System

  • Tajima, Takeshi;Ishii, Chiharu
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.507-507
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    • 2000
  • In this paper, a kind of limit cycle of an inverted pendulum system is discussed. We propose a stabilization control law for such a limit cycle of an inverted pendulum system that the pendulum rotates periodically. Besides, the stabilization control law is extended so as to ensure not only stability of the limit cycle but also an L$_2$-gain disturbance attenuation in the presence of modeling error and viscosity friction.

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Application of H¡? Controller Design Method to a Linear Singularly Perturbed System (H$\infty$ 제어기 설계법의 선형 특이섭동 시스템에의 적용)

  • Yoo, Seog-Hwan
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.648-657
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    • 1994
  • This paper presents a solution of the H$\infty$ control problem for a linear singularly perturbed system. A sufficient condition for a linear singularly perturbed system to achieve the prescribed disturbance attenuation level is obtained. Based upon this sufficient condition, an H$\infty$ controller design method which involves the solutions of two generalized algebraic Riccati equations(GRE) is developed.

Robust H\ulcorner Control for Delayed System with Time-Varying Norm-Bounded Parameter Uncertainty

  • Kim, Jong-Hae;Jeung, Eun-Tae;Park, Hong-Bea
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.33-38
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    • 1996
  • In this paper, we present a robust H\ulcorner control design method for parameter uncertain systems that have delay in both state and control input. Through a certain algebraic Riccati inequality approach, a state feedback controller is obtained. The proposed state feedback controller stabilizes parameter uncertain delay systems and guarantees disturbance attenuation within a prescribed level. An illustrative example is given to demonstrate the results of the proposed method.

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Micro-vibration Test on a Two-axis Gimbal Antenna System with Stepping Motors (스텝핑 모터 특성에 따른 2축 짐발 안테나 시스템의 미소진동 측정 시험)

  • Kim, Dae-Kwan;Yong, Ki-Lyuk;Choi, Hong-Taek;Park, Gee-Yong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.11
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    • pp.1042-1048
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    • 2012
  • A 2-axis gimbal system is one of main disturbance sources affecting image jitter response of a satellite. The gimbal system comprises azimuth stage and elevation stage, and these pointing mechanism can be rotated by stepping motors about its azimuth and elevation axes simultaneously. Because of the complex and coupled dynamic motion of the gimbal system, its moment of inertia and structural modes can be changed according to the system configuration, and thus the gimbal system generates complicated and non-linear disturbance characteristics. In order to improve the jitter response of a spacecraft, it is an indispensable process to reduce the micro-vibration disturbance level of the antenna system. In the present research, a 2-axis gimbal system was manufactured and then its micro-vibration test was performed in terms of two types of stepping motors(2-phase and 5-phase). The test results show that the disturbance level of the gimbal system can be reduced by replacing the 2-phase stepping motor with the 5-phase one, and the average disturbance attenuation ratio is 56 % in peak level and 48 % in standard deviation level. The experimental results confirm that it is an efficient jitter reduction method to adopt a high-phase stepping motor.

Dynamic Characteristic Analysis and LMI-based H_ Controller Design for a Line of Sight Stabilization System

  • Lee, Won-Gu;Kim, In-Soo;Keh, Joong-Eup;Lee, Man-Hyung
    • Journal of Mechanical Science and Technology
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    • v.16 no.10
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    • pp.1187-1200
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    • 2002
  • This paper is concerned with the design or an LMI (Linear Matrix Inequality) -based H$\infty$ controller for a line of sight (LOS) stabilization system and with its robustness performance. The linearization of the system is necessary to analyze various nonlinear characteristics, but the linearization entails modeling uncertainties which reduce its performance. In addition, the stability of the LOS can be adversely affected by angular velocity disturbances while the vehicle is moving. As the vehicle accelerates, all the factors that are Ignored and simplified for the linearization tend to Inhibit the performance of the system. The robustness in the face of these uncertainties needs to be assured. This paper employs H$\infty$ control theory to address these problems and the LMI method to provide a suitable controller with minimal constraints for the system. Even though the system matrix does not have a full rank, the proposed method makes it possible to design a H$\infty$ controller and to deal with R and S matrices for reducing the system order. It can be also shown that the proposed robust controller has a better disturbance attenuation and tracking performance. The LMI method is also used to enhance the applicability of the proposed reduced-order H$\infty$ controller for the system given. The LMI-based H$\infty$ controller has superior disturbance attenuation and reference input tracking performance, compared with that of the conventional controller under real disturbances.