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

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Robust Vibration Control for a Building with Parameter Uncertainty (파라미터 불확실성을 고려한 건물의 견실 진동 제어)

  • 최재원;김신종;이만형
    • Journal of KSNVE
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    • v.10 no.4
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    • pp.575-583
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    • 2000
  • In this paper, we design a vibration control system that includes a 3-D.O.F. mass-spring-damper structure for the analytical model of a building that is excited at the base of this structure by an external dynamic force, and one Active Mass Damper(AMD) on the top of this structure to generate control forces fro attenuation of the structural response. Two robust controllers based on $\mu$-synthesis and H$\infty$ optimal control are designed for the structural system to show that the performance of a control system can be degraded by some parameter uncertainties such as mass, stiffness coefficients, and/or damping coefficients. The performance of the two controllers are compared in terms of nominal performance, robust stability and robust performance by simulations.

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Robust $H_{\infty}$ Power Control for CDMA Systems in User-Centric and Network-Centric Manners

  • Zhao, Nan;Wu, Zhilu;Zhao, Yaqin;Quan, Taifan
    • ETRI Journal
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    • v.31 no.4
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    • pp.399-407
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    • 2009
  • In this paper, we present a robust $H_{\infty}$ distributed power control scheme for wireless CDMA communication systems. The proposed scheme is obtained by optimizing an objective function consisting of the user's performance degradation and the network interference, and it enables a user to address various user-centric and network-centric objectives by updating power in either a greedy or energy efficient manner. The control law is fully distributed in the sense that only its own channel variation needs to be estimated for each user. The proposed scheme is robust to channel fading due to the immediate decision of the power allocation of the next time step based on the estimations from the $H_{\infty}$ filter. Simulation results demonstrate the robustness of the scheme to the uncertainties of the channel and the excellent performance and versatility of the scheme with users adapting transmit power either in a user-centric or a network-centric efficient manner.

Robust Control of a Seeker Scan Loop System Using ${\mu}$-Systheis (${\mu}$-합성법을 이용한 탐색기 주사루프의 강인 제어)

  • Lee, Ho-Pyeong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.180-188
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    • 1999
  • ${\mu}$-synthesis is applied to design a robust controller for a seeker scan loop system which has model uncertainty and is subject to a external disturbance due to abrupt missile maneuver. The issue of modelling a real-valued parametric uncertainty of a physical seeker scan loop system is discussed. The two-degree-of-frame control structure is employed to obtain better performance. It is shown that ${\mu}$-synthesis provides a superior framework for the robust control design of a seeker scan loop system which exhibits robust performance. The proposed robust control system satisfies design requirements, and especially shows good scanning performances for conical and rosette scan patterns despite parametric uncertainty in real system model.

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Path following of a surface ship sailing in restricted waters under wind effect using robust H guaranteed cost control

  • Wang, Jian-qin;Zou, Zao-jian;Wang, Tao
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.606-623
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    • 2019
  • The path following problem of a ship sailing in restricted waters under wind effect is investigated based on Robust $H_{\infty}$ Guaranteed Cost Control (RHGCC). To design the controller, the ship maneuvering motion is modeled as a linear uncertain system with norm-bounded time-varying parametric uncertainty. To counteract the bank and wind effects, the integral of path error is augmented to the original system. Based on the extended linear uncertain system, sufficient conditions for existence of the RHGCC are given. To obtain an optimal robust $H_{\infty}$ guaranteed cost control law, a convex optimization problem with Linear Matrix Inequality (LMI) constraints is formulated, which minimizes the guaranteed cost of the close-loop system and mitigates the effect of external disturbance on the performance output. Numerical simulations have confirmed the effectiveness and robustness of the proposed control strategy for the path following goal of a ship sailing in restricted waters under wind effect.

Design of An Extended Robust H$\infty$ Filter

  • Yu, Myeong-Jong;Lee, Jang-Gyu;Park, Cha- Gook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.77.3-77
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    • 2001
  • An extended robust H$\infty$ filter is proposed for a nonlinear uncertain system. We also analyze the characteristics of the proposed filter such as an H$\infty$ performance criterion using the Lyapunov function method. The analysis results show that proposed filter has a robustness against disturbances such as process and measurement noises and against parameter uncertainties. Then the in-flight alignment for a strapdown inertial navigation system is designed using the presented filter. Simulation results show that the proposed filter effectively improve the performance.

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State Feedback Control of Two-Mass Resonant System using $H_{\infty}$ Filter ($H_{\infty}$ 필터를 이용한 2관성 공진계의 상태궤환제어)

  • 김진수;김현중;김영석
    • Proceedings of the KIPE Conference
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    • 1997.07a
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    • pp.332-335
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    • 1997
  • In the industrial motor drive system, a shift torsional vibration si often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of such a system. In this paper, the state feedback controller of the two-mass resonant system using the H$\infty$ filter is proposed. The H$\infty$ filter is robust in noise and disturbance. Simulation results show the validity proposed controller.

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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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    • v.6 no.2
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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.

Design of a Robust Controller Using Genetic Algorithms and LMI Design Method (유전자 알고리즘과 LMI 설계 방법을 이용한 강인 제어기의 설계)

  • Lee, Moon-Noh;Lee, Hong-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.7
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    • pp.619-624
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    • 2011
  • This paper presents a controller design method for a robust control problem with multiple constraints using genetic algorithms and LMI design method. A robust $H_{\infty}$ constraint with loop shaping and pole placement is used to address disturbance attenuation with error limits and desired transient specifications, in spite of the plant uncertainties and disturbances. In addition, a loop gain constraint is considered so as not to enlarge the loop gain unnecessarily. The robust $H_{\infty}$ constraint and pole placement constraint can be expressed in terms of two matrix inequalities and the loop gain constraint can be considered as an objective function so that genetic algorithms can be applied. Accordingly, a robust controller can be obtained by integrating genetic algorithms with LMI approach. The proposed controller design method is applied to a track-following system of an optical disk drive and is evaluated through simulation results.

A Study on the Performance Comparison of Standard $H_{\infty}$ Control and LQ Control (표준 $H_{\infty}$ 제어와 LQ제어의 성능 비교 연구)

  • Roh, Tae-Hoon;Park, Jin-Bae;Moon, Young-Hyun;Lee, Tae-Shik
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.331-334
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    • 1993
  • It is a standard problem that designs a controller to minimize the $H_{\infty}$-norm of a given plant. By reducing a standard problem to a model-matching problem, we can obtain all the parameters which consist of a controller. After presenting a practical model and applying it to a tracking model, we design an $H_{\infty}$ controller and an LQ controller to concrete that $H_{\infty}$ control theory is far more robust than LQ control theory. And we show the advantage of an $H_{\infty}$ controller by obtaining a desired Bode diagram and comparing it with that of an LQ controller.

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Partial State Feedback $H_{\infty}$ Control of Two-Mass System (2관성계의 부분적인 상태궤환을 갖는 $H_{\infty}$제어)

  • Han, Yoon-Seok;Kim, Young-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.10
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    • pp.562-570
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    • 1999
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. This vibration, which is generated in a two-mass mechanical system. To solve this problem, recently there has been a lot of researches for the robust control relevant to the $H_{\infty}$ control suppressing the torsional vibration and rejecting the torque disturbance. In the case of the $H_{\infty}$controller, however, the command tracking property becomes worse because of overshoot during transient response. For this reason the $H_{\infty}$ controller, which includes the two-degrees-of-freedom(TDOF) controller, is designed in order to improve command tracking property. However, it also includes complexity realizing this controller. In this paper, a new $H_{\infty}$ controller with partial state feedback is proposed. Proposed $H_{\infty}$controller has simple structure but satisfies with the fast command tracking property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF $H_{\infty}$ controller.

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