• Title/Summary/Keyword: H$\infty$

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A Study on Swing Motion Control System Design for the Spreader of the Crane (크레인 스프레더의 Swing Motion 제어에 관한 연구)

  • Chae, G.H.;Kim, Y.B.
    • Journal of Power System Engineering
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    • v.7 no.3
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    • pp.54-60
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    • 2003
  • In general, the swing motion of the crane is controlled and suppressed by activating the trolley motion. In this paper, we suggest a new type of anti-sway control system of the crane. In the proposed control system, a small auxiliary mass(moving-mass) is installed on the spreader and the swing motion is controlled by moving the auxiliary mass. The actuator reaction against the auxiliary mass applies inertial control forces to the container to reduce the swing motion in the desired manner. In this paper, we apply the $H_{\infty}$ based control technique to the anti-sway control system design problem. And the experimental result shows that the proposed control system is shown to be useful and robust to disturbances like winds and initial sway motion.

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Multiobjective State-Feedback Control of Smart Structural Systems (지능구조물의 다목적 상태궤환 제어)

  • 홍성일;박현철;박철휴
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.452-458
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    • 2003
  • This paper presents a robust vibration control methodology of smart structural systems. The governing equations and associated boundary conditions are derived by Hamilton's principle. A robust controller is designed using a linear matrix inequality (LMI) approach to the multiobjective synthesis. The design objectives are to achieve a mix of H$\sub$$\infty$/ performance and H$_2$ performance satisfying constraints on the closed-loop pole locations in the face of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the multiple modes of vibration of the piezo/beam system.

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Subnormality and Weighted Composition Operators on L2 Spaces

  • AZIMI, MOHAMMAD REZA
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.345-353
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    • 2015
  • Subnormality of bounded weighted composition operators on $L^2({\Sigma})$ of the form $Wf=uf{\circ}T$, where T is a nonsingular measurable transformation on the underlying space X of a ${\sigma}$-finite measure space (X, ${\Sigma}$, ${\mu}$) and u is a weight function on X; is studied. The standard moment sequence characterizations of subnormality of weighted composition operators are given. It is shown that weighted composition operators are subnormal if and only if $\{J_n(x)\}^{+{\infty}}_{n=0}$ is a moment sequence for almost every $x{{\in}}X$, where $J_n=h_nE_n({\mid}u{\mid}^2){\circ}T^{-n}$, $h_n=d{\mu}{\circ}T^{-n}/d{\mu}$ and $E_n$ is the conditional expectation operator with respect to $T^{-n}{\Sigma}$.

A Study on Swing Motion Control System Design for the Spreader of the Crane with Varying Rope Length (크레인 스프레더의 Swing Motion 제어에 관한 연구 : 로프 길이변화를 고려한 경우)

  • An, S.B.;Chae, G.H.;Kim, Y.B.
    • Journal of Power System Engineering
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    • v.8 no.1
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    • pp.55-61
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    • 2004
  • In general, the swing motion of the crane is controlled and suppressed by activating the trolley motion. In this paper, we suggest a new type of anti-sway control system of the crane. In the proposed control system, a small auxiliary mass(moving-mass) is installed on the spreader and the swing motion is controlled by moving the auxiliary mass. 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. In this paper, we apply the $H_{\infty}$ based control technique to the anti-sway control system design problem. And the experimental result shows that the proposed control system is useful and robust to disturbances like winds and initial sway motion.

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The Robust Control of Two Mass Spring System (2관성 공진 시스템의 강건제어)

  • 조도현;이종용;이상철
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.35T no.3
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    • pp.76-86
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    • 1998
  • The Two-Mass Spring(TMS or Two-Inertia Resonance) system is one of the simplest models which generate a torsional vibration. In this system, it is required to design a controller achieving the control performance while suppressing the torsional vibration. In this paper, we compared and considered with the state feedback effects for the TMS system. By connecting each controller design to the state feedback control, we could predict each controller performances and decide weighting functions and parameters of LQ and $H_\infty$ controller.

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1-DOF Haptic Interface Controller Design considering Transparency and Robust Stability (투명성과 강인 안정성을 고려한 1자유도 햅틱 인터페이스 제어기 설계)

  • Eom, Gwang-Sik;Seo, Il-Hong
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.4
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    • pp.213-219
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    • 2000
  • In this paper, a controller design method is proposed for haptic interface considering transparency and robust stability. For this, a performance index for the transparency as performance measure is defined in the points of impedance matching and the optimal solution which is minimizing the performance index is obtained by solving H2 optimal problem. In haptic interface, the modeling uncertainties can be restricted to that of haptic device. To implement the robust stabilizing haptic controller to the uncertainties of haptic device, a robust stable condition using H$\infty$ norm from small gain theorem is proposed. To verify the effectiveness of the proposed haptic controller design scheme, numerical examples and experimental results are illustrated for virtual wall consisting of stiffness and damping factor.

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A Design on Reference Model Following Fuzzy Control System Using Hysteresis element (비선형 요소를 이용한 기준 모델 추종형 퍼지 제어 시스템의 설계)

  • Hwang, C.S.;Nam, K.W.;Jeong, H.S.;Kim, D.W.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.974-976
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    • 1996
  • In this paper, a reference model following control system using a fuzzy logic controller(FLC) is proposed By using an integrator and a nonlinear hysteresis element, a reference model whose response has no overshoot and fast rise time is designed. A FLC is designed to follow as close as possible to the response of the reference model. The proposed design method is shown that the robustness and the optimal tracking property can be achieved under modeling error, disturbance and parameter perturbations. The effectiveness of the proposed design method is verified through the simulation that compare using the FLC with using a $H_{\infty}$ controller.

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Modeling and Design of Robust Control System for VTOL Aircraft with Multi Fan (멀티팬을 가진 부상기의 모델링과 강인한 제어기의 설계)

  • Shin, C.S.;Byun, G.S.;Choe, Y.W.;Lee, H.K.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1116-1118
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    • 1996
  • This paper designs a digital controller by making use of the $H^{\infty}$ control algorithm and $\mu$-synthesis in order to keep a balance of the VTOL(Vertical Take Off and Landing Plane) vehicle with 4 fans. A identification of the actual model is acquired by the vehicle rolling, pitching and yawing angles for a pseude-random signal input and various identification theories. In spite of parameter variations and existing disturbances, the designed controller showes its robust performance through simulations and experiments.

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Case Analysis of Power System Stabilizer applied on Generator (발전기에 적용된 전력계통안정화장치(PSS)의 사례 분석)

  • Lee, S.S.;Li, S.Y.;Lee, Y.J.;Chung, W.D.;Jang, G.S.;Park, J.K.;Moon, S.I.;Kang, S.H.
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.300-302
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    • 2003
  • 본 연구에서는 발전기에 적용된 전력계통안정화장치(Power System Stabilizer)의 적용사례를 분석한다. 전력계통안정화장치에 적용된 알고리즘은 Lead-Lag 제어기가 있고, 현대 제어이론에 바탕을 둔 LQR, LQG, $H_{\infty}$, 슬라이딩모드 제어기, 비선형궤환제어기가 있다. 그 외에 퍼지제어기, 뉴럴 제어기, 진화연산제어기등이 있다. 이중에 전력계통안정화장치의 제어알고리즘에 대하여 대표적인 사례를 파악하고져 한다.

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H State Estimation of Static Delayed Neural Networks with Non-fragile Sampled-data Control (비결함 샘플 데이타 제어를 가지는 정적 지연 뉴럴 네트웍의 강인 상태추정)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.171-178
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    • 2017
  • This paper studies the state estimation problem for static neural networks with time-varying delay. Unlike other studies, the controller scheme, which involves time-varying sampling and uncertainties, is first employed to design the state estimator for delayed static neural networks. Based on Lyapunov functional approach and linear matrix inequality technique, the non-fragile sampled-data estimator is designed such that the resulting estimation error system is globally asymptotically stable with $H_{\infty}$ performance. Finally, the effectiveness of the developed results is demonstrated by a numerical example.