• Title/Summary/Keyword: $H_2/H_{\infty}$ Multi-model Control

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A Vibration Control of Multi-layer Structure by LQ Type $H_{\infty}$ Control Theory (LQ 형 $H_{\infty}$ 제어기법에 의한 다층 구조물의 진동제어)

  • Yang, J.H.;Jeong, H.J.;Kim, C.H.;Byun, J.H.;Sim, S.H.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.41-46
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    • 1998
  • This paper presents the vibration control for the two degree-of-freedom which is a reduced model of multi-layer structure. This reduced model is designed for the first and second order resonance in the low frequency domain where the disturbance such as the earth quake has the large energy. And a designed controller using the LQ type $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the experimental results and the simulation results respectively.

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The Design of Multi-Objective $H_2/H_{\infty}$ Controllers for multiple linear Time-invariant models (다중 선형 시불변 모델에 대한 다목적 $H_2/H_{\infty}$ 제어기 설계)

  • Cho, Do-Hyeoun;Won, Young-Jin;Lee, Jong-Yong
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.3
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    • pp.13-18
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    • 2005
  • This paper presents a design of a multi-objective $H_2/H_{\infty}$ controller of an inverted pendulum with polytopic model by the stabilizing regulator and tracking performances. Multi-objective controllers are designed for polytopic models by the LMI design technique with convex algorithms. It is observed that the inverted pendulum controlled by any controller designed for each polytopic model is stably restored to the vertical angle position for initial values of larger tilt angles.

Parametric Optimization Procedure for Robust Flight Control System Design

  • Tunik, Anatol A.;Ryu, Hyeok;Lee, Hae-Chang
    • International Journal of Aeronautical and Space Sciences
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    • v.2 no.2
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    • pp.95-107
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    • 2001
  • This paper is devoted to the parameter optimization of unmanned aerial vehicle's (UAV) flight control laws. Optimization procedure is based on the ideas of mixed $H_2/H_{\infty}$ control of multi-model plants. By using this approach, some partial $H_2$-terms defining the performance of nominal and parametrically perturbed Flight Control System (FCS) responses to deterministic command signals in stochastic atmosphere as well as $H_{\infty}$-terms defining robustness of the FCS can be incorporated in the composite cost function. Special penalty function imposed on the location of closed-loop system's poles keeps the speed of response and oscillatory properties for both nominal and perturbed FCS in reasonable limits. That is the reason why this procedure may provide reasonable trade-off between the performance and robustness of FCS that are very important especially for UAV. Its practical importance is illustrated by case studies of lateral and longitudinal control of small UAV.

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Position synchronizing control of two axes system using by VSS and $H_{\infty}$ control (VSS 및 $H_{\infty}$ 제어법에 의한 2축 위치 동기 제어)

  • 변정환;김영복;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.754-758
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    • 1996
  • In this paper, a new method of position synchronizing control is proposed for multi-axes driving system. The proposed synchronizing control system is constituted with speed and synchronizing controller. The structure of synchronizing control system is varied by sign of synchronizing error. When a disturbance input becomes added to one axis, this axis becomes slave axis. The other axis is master axis. Therefore, master axis is not influenced by the disturbance. The speed controller of the first axis is designed by $H_{\infty}$ control theory. The speed controller of the second axis is designed by inverse dynamics of speed control system of the first axis. The speed control system designed with $H_{\infty}$ controller guarantees low sensitivity for the disturbance as well as robustness against model uncertainties. Especially, the synchronizing controller is designed to keep position error to minimize by controlling speed of slave axis. The effectiveness of the proposed method is successfully confirmed through several experiments.

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