• 제목/요약/키워드: Robust $H_{\infty}$

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Robust Hcontrol applied on a fixed wing unmanned aerial vehicle

  • Uyulan, Caglar;Yavuz, Mustafa Tolga
    • Advances in aircraft and spacecraft science
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    • 제6권5호
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    • pp.371-389
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    • 2019
  • The implementation of a robust $H_{\infty}$ Control, which is numerically efficient for uncertain nonlinear dynamics, on longitudinal and lateral autopilots is realised for a quarter scale Piper J3-Cub model accepted as an unmanned aerial vehicle (UAV) under the condition of sensor noise and disturbance effects. The stability and control coefficients of the UAV are evaluated through XFLR5 software, which utilises a vortex lattice method at a predefined flight condition. After that, the longitudinal trim point is computed, and the linearization process is performed at this trim point. The "${\mu}$-Synthesis"-based robust $H_{\infty}$ control algorithm for roll, pitch and yaw displacement autopilots are developed for both longitudinal and lateral linearised nonlinear dynamics. Controller performances, closed-loop frequency responses, nominal and perturbed system responses are obtained under the conditions of disturbance and sensor noise. The simulation results indicate that the proposed control scheme achieves robust performance and guarantees stability under exogenous disturbance and measurement noise effects and model uncertainty.

속도 성분의 진동 외란이 있는 미동 탐색 제어 시스템의 강인 제어기 설계 방법 (A Robust Controller Design Method of the Fine Seek Control System with Velocity Disturbance)

  • 이문노;신진호;김성우
    • 한국소음진동공학회논문집
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    • 제17권9호
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    • pp.805-812
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    • 2007
  • This paper present a robust controller design method based on the estimation of velocity disturbance to construct a robust fine seek control system. A loop gain adjustment algorithm is introduced to accurately estimate the velocity disturbance in spite of the uncertainties of fine actuator. A weighting function is optimally selected from a minimum fine seek open-loop gain, calculated by estimating the velocity disturbance. A robust fine seek controller is designed by considering a robust $H_{\infty}$ control problem using the weighting function. The proposed controller design method is applied to the fine seek control system of a DVD rewritable drive and is evaluated through the experimental results.

$H_\infty$ 제어를 이용한 방진대의 능동제어 (Active Control of Isolation Table Using $H_\infty$ Control)

  • 김규용;양현석;박영필
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3079-3094
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    • 1996
  • Recently, the high-precision vibration attenuation technology becomes the essence fo the seccessful development of high-integrated and ultra-precision industries, and is expected to continue playing a key role in the enhancement of manufacturing technology. Vibration isolation system using an air-spring is widely employed owing to its excellent isolation characteristics in a wide frequency range. It has, however, some drawbacks such as low-stiffness and low-damping features and can be easily excited by exogenous disturbances, and then vibration of table is remained for a long time. Consequently, the need for active vibration control for an air-spring vibration isolation system becomes inevitable. Furthermore, for an air-spring isolation table to be successfully employed in a variety of manufacturing sites, it should have a guaranteed robust performance not only to exogenous disturbances but also to uncertainties due to various equipments which might be put on the table. In this study, an active vibration suppression control system using H.inf. theory is designed and experiments are performed to verify its robust performance. An air-spring vibration isolation table with voice-coil-motors as its actuators is designed and built. The table is modeled as 3 degree-of-freedom system. An active control system is designed based on $H_\infty$control theory using frequency-shaped weighting functions. Analysis on its performance and frequency responce properties are done through numerical simulations. Robust characteristics of$H_\infty$ control on disturbances and model uncertainties are experimentally verified through (i) the transient response to the impact excitation of the table, (ii) the steady-state response to the harmonic excitation, and (iii) the response to the mass change of the table itself. An LQG controller is also designed and its performance is compared with the $H_\infty$ controller.

차량 전복 방지를 위한 강인 제어기 설계 (Design of a Robust Controller for Vehicle Rollover Prevention)

  • 임성진;김용무;오동호
    • 대한기계학회논문집A
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    • 제36권11호
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    • pp.1311-1318
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    • 2012
  • 본 논문에서는 차량 전복 방지를 위해 강인 제어기를 설계하고 적용하는 방법에 대해 제시한다. 운행 중인 차량은 속도나 무게중심과 같은 파라미터 변화가 쉽게 발생하는데, 차량 전복 방지 제어기가 파라미터 변화에 대해 강인하게 설계된다면 차량 전복 방지 성능을 더욱 향상시킬 수 있다. 이를 위해 본 논문에서는 이산시간영역에서 LMI 를 이용하여 $H_2$$H_{\infty}$ 강인제어기를 설계하고, 실험에 대한 신뢰도가 높은 차량 시뮬레이션 패키지인 CarSim 에서 차량 전복 방지를 위한 제어기의 성능을 검증한다.

2차원 평면운동 로봇 시스템에 대한 $H_{\infty}$ 제어기 설계 (Design of the $H_{\infty}$Controller for a Planner Robot System)

  • 조도현;이상철;이종용
    • 대한전자공학회논문지TE
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    • 제37권2호
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    • pp.96-104
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    • 2000
  • 이 논문에서는, 동일한 제어 대상이 대칭 구조로 상호 결합된 대규모 시스템(large-scale systems)의 선형 모델의 제어에 강건한 H/sub ∞/제어 설계 방법을 적용하였다. 2D 수평운동 로봇 시스템에 대하여, 부분 제어 대상에 대한 외생 입력을 하나의 부분 시스템에 대한 불확실성으로 간주하고, 이 불확실성에 대하여 강건 안정 성능을 가지는 H/sub ∞/ 강건 제어기를 설계하였다. 설계된 H/sub ∞/ 제어기의 성능은, 모의/실물 실험을 통하여, PD제어기의 성능과 비교하여 검토하였다.

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보이스코일 모터를 이용한 유연한 조작기의 H$_\infty$제어 (H$_\infty$ control of a flexible manipulator using voice coil motor)

  • 박형욱;박노철;박영필;김승호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1700-1703
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    • 1997
  • The flexibility of the manipulator inevitably inducess the vibration at the end effector. For the increase in speed and accuracy at the end tip, in this work, position and vibration control of a flexible manipuator with a separate voice coil type actrator for vibration suppression, is studied. The flexible manipulator with a tip mass is modeled an Euler-Bernoulli beam. An H.inf. controller is designed in order to make the controlled system robust against unmodeled higher-order mode vibration of the manipulator, output sensor noise, and etc. Simulations and experiments show that the modeling of the system is valid and that robust vibration control of the flexible manipulator is efficiently achieved.

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Robust observer-based $H_{\infty}$ controller design for descriptor systems using an LMI

  • Kim, Jong-Hae;Lee, Joong-Jae;Ahn, Seong-Joon;Ahn, Seung-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1843-1846
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    • 2004
  • This paper considers a robust observer-based $H_{\infty}$ controller design method for descriptor systems with parameter uncertainties using just one LMI condition. The sufficient condition for the existence of controller and the controller design method are presented by a perfect LMI condition in terms of all variables using singular value decomposition, Schur complement, and change of variables. Therefore, one of the main advantages is that a robust observer-based $H_{\infty}$ controller is found by solving one LMI condition compared with existing results. Numerical example is given to illustrate the effectiveness of the proposed controller design method.

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Robust $H_{\infty}$ Control for Uncertain Two-Dimensional Discrete Systems Described by the General Model via Output Feedback Controllers

  • Xu, Huiling;Zou, Yun;Xu, Shengyuan;Guo, Lei
    • International Journal of Control, Automation, and Systems
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    • 제6권5호
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    • pp.785-791
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    • 2008
  • This paper considers the problem of robust $H_{\infty}$ control for uncertain 2-D discrete systems in the General Model via output feedback controllers. The parameter uncertainty is assumed to be norm-bounded. The purpose is the design of output feedback controllers such that the closed-loop system is stable while satisfying a prescribed $H_{\infty}$ performance level. In terms of a linear matrix inequality, a sufficient condition for the solvability of the problem is obtained, and an explicit expression of desired output feedback controllers is given. An example is provided to demonstrate the application of the proposed method.

A Tabu Search Algorithm to Optimal Weight Selection in Design of Robust $H_{\infty}$ Power System Stablilizer

  • Dechanupaprittha, S.;Ngamroo, I.
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -1
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    • pp.486-489
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    • 2002
  • This paper proposes a tabu search (TS) algorithm to optimal weight selection in design of robust H$_{\infty}$ power system stabilize. (PSS), In H$_{\infty}$ control design, the weight selection and the representation of system uncertainties are the major difficulties. To cope with these problems, TS is employed to automatically search for the optimal weights. On the other hand, the normalized coprime factorization (NCF) is used. The H$_{\infty}$ controller can be directly developed without ${\gamma}$-iteration. Also, the pole-zero cancellation phenomena are prevented. The performance and robustness of the proposed PSS under different loading conditions are investigated in comparison with a robust tuned PSS by examining the case of a single machine infinite bus (SMIB) system. The simulation results illustrate the effectiveness and robustness of the proposed PSS.

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시변 지연이 있는 비선형 시스템에 대한 $H_{\infty}$ 퍼지 강인제어기 설계 (Static Output Feedback Robust $H_{\infty}$ Fuzzy Control of Nonlinear Systems with Time-Varying Delay)

  • 김택룡;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.379-381
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    • 2004
  • In this paper, a robust $H_{\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H_{\infty}$ controllers are given in terms of linear matrix inequalities.

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