• Title/Summary/Keyword: Robust $H{\infty}$ controller

검색결과 359건 처리시간 0.031초

4층 층상 구조물에 대한 강인한 진동 제어 시스템 설계 (A Design of Robust Vibration Control System for a Four-story Shear Structure)

  • 양주호;정황훈;정해종
    • 동력기계공학회지
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    • 제7권1호
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    • pp.60-67
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    • 2003
  • This paper introduces basic study how to restrain the vibration of a four story shear structure. We have modeled a four story shear structure mathematically and have identified each parameters by experiment. We have gotten a reduced nominal model through modal analyzing method and the $H_{\infty}$ control theory is used in the control system design to get the robust controller. It's shown that the desirable performances is confirmed through the mathematical simulation. And a designed controller applying the $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the simulation results. That is, the robustness of this control system is confirmed for the ability of disturbance rejection and modeling error.

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ATM 네트워크의 폭주제어를 위한 극점 배치를 갖는 견실 $H_{\infty}$ 제어기 설계 (Design of Robust $H_{\infty}$ Controller with Regional Pole Placements for Congestion Control in ATM Networks)

  • 김준기;정상섭;박홍배
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(1)
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    • pp.127-130
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    • 2000
  • In this paper, we design the robust H$_{\infty}$ controller for congestion control in ATM (asynchronous transfer mode) networks with the variation of other higher priority sources(e.g., constant bit rate, variable bit rate). Since ABR (available bit rate) sources share the bottleneck node with other higher priority sources, we design the controller which guarantees robustness against time delay and disturbance. The proposed robust H$_{\infty}$ controller with regional pole placements can minimize the variation of the queue size at the predefined desired level. And we also show its robustness through simulation for the ATM networks with time delay and disturbance.

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탄성-질량시스템의 위치제어를 위한 강건 제어기 설계 (A Robust Controller Design for the Position Control of a Spring-Mass System)

  • 박종우;이상철
    • 전자공학회논문지T
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    • 제36T권3호
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    • pp.41-49
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    • 1999
  • 본 논문에서는 μ-합성법으로 제어기를 설계하여 센서와 구동부가 동일위치에 있지 않은(noncollocated) 탄성-질량 시스템에 적용한다. 스프링 상수값과 제어대상의 부하 질량은 불확실하다고 가정한다 매개변수 불확실성을 포함하고 있는 제어대상은 상태 공간 방정식, 특히 묘사형(descriptor form)을 사용하여 모델링 한다. μ-합성법으로 설계된 H/sub ∞/ 제어기를 표준 H/sub ∞/ 제어기와 비교한다. 두 개의 H/sub ∞/ 제어기 성능을 비교하기 위해, μ-합성 제어기가 구조적 불확실성을 가지고 있다는 것을 제외하고는 서로 동일한 하중함수를 가지고 설계한다. 표준 H/sub ∞/ 제어기와 비교하여 설계된 제어기는 만족스러운 강건 안정성과 강건 성능을 가지는 것을 시뮬레이션과 실험을 통해 확인한다.

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미지 부하 질량을 갖는 유연 링크 로봇의 $H_{\infty}$ 자기 동조 제어 ($H_{\infty}$ Self-Tuning Control of a Flexible Link Robot with Unknown Payload)

  • 한기봉;이시복
    • 한국정밀공학회지
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    • 제14권2호
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    • pp.160-168
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    • 1997
  • A $H_{\infty}$self-tuning control scheme for the tip position of a flexible link robot handling unknown loads is presented here. The scheme essentially comprises a recursive least-squares identification algorithm and $H_{\infty}$self-tunning controller. The $H_{\infty}$control low is designed to be robust to uncertain parameters and the self-tunning action provides adaption to unknown parameters. Through numerical study, the performance comparison of the $H_{\infty}$self-tuning controller with a constant gain $H_{\infty}$controller as well as a LQG self-tuning controller clearly shows its superior ability in handling load changes in quiescent states.nt states.

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임의발생 불확실성 및 외란을 고려한 시간지연시스템의 강인비약성 H 제어기 설계 알고리듬 (Robust and Non-fragile H Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances ))

  • 양승협;백승현;이준영;박홍배
    • 전자공학회논문지
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    • 제52권12호
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    • pp.89-98
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    • 2015
  • 본 논문에서는 임의적으로 발생하는 폴리토프 불확실성과 외란을 고려한 시간지연시스템의 강인비약성 $H_{\infty}$ 제어기설계 알고리듬을 다룬다. 먼저 임의적으로 발생하는 불확실성과 외란을 가지는 시간지연시스템을 설계하고, Lyapunov 안정성 분석과 $H_{\infty}$ 성능지수를 기반으로 강인비약성 $H_{\infty}$ 제어기가 존재하기 위한 충분조건을 선형행렬부등식(LMI, linear matrix inequality)의 형태로 제시한다. 구한 충분조건은 변수치환과 슈어 여수(Schur complement) 정리를 바탕으로 파라미터의 함수를 포함한 파라미터화 선형행렬부등식(PLMI, parameterized linear matrix inequality)으로 표현할 수 있으므로 PLMI의 모든 해로부터 제어기이득과 비약성을 만족하는 제어기 섭동영역 및 $H_{\infty}$ 성능을 만족하는 노옴 한계치 ${\gamma}$를 한번에 구할 수 있다. 마지막으로 예제와 모의실험에서 제안한 강인비약성 $H_{\infty}$ 제어기가 임의적으로 발생하는 불확실성 및 외란, 시간지연이 있더라도 폐루프시스템을 안정화시키고 $H_{\infty}$ 성능을 보장함을 확인하고 확정적인 불확실성을 기반으로 설계한 제어기와 성능을 비교한다.

Tracking control of variable stiffness hysteretic-systems using linear-parameter-varying gain-scheduled controller

  • Pasala, D.T.R.;Nagarajaiah, S.;Grigoriadis, K.M.
    • Smart Structures and Systems
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    • 제9권4호
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    • pp.373-392
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    • 2012
  • Tracking control of systems with variable stiffness hysteresis using a gain-scheduled (GS) controller is developed in this paper. Variable stiffness hysteretic system is represented as quasi linear parameter dependent system with known bounds on parameters. Assuming that the parameters can be measured or estimated in real-time, a GS controller that ensures the performance and the stability of the closed-loop system over the entire range of parameter variation is designed. The proposed method is implemented on a spring-mass system which consists of a semi-active independently variable stiffness (SAIVS) device that exhibits hysteresis and precisely controllable stiffness change in real-time. The SAIVS system with variable stiffness hysteresis is represented as quasi linear parameter varying (LPV) system with two parameters: linear time-varying stiffness (parameter with slow variation rate) and stiffness of the friction-hysteresis (parameter with high variation rate). The proposed LPV-GS controller can accommodate both slow and fast varying parameter, which was not possible with the controllers proposed in the prior studies. Effectiveness of the proposed controller is demonstrated by comparing the results with a fixed robust $\mathcal{H}_{\infty}$ controller that assumes the parameter variation as an uncertainty. Superior performance of the LPV-GS over the robust $\mathcal{H}_{\infty}$ controller is demonstrated for varying stiffness hysteresis of SAIVS device and for different ranges of tracking displacements. The LPV-GS controller is capable of adapting to any parameter changes whereas the $\mathcal{H}_{\infty}$ controller is effective only when the system parameters are in the vicinity of the nominal plant parameters for which the controller is designed. The robust $\mathcal{H}_{\infty}$ controller becomes unstable under large parameter variations but the LPV-GS will ensure stability and guarantee the desired closed-loop performance.

2자유도 $H_{\infty}$제어기를 이용한 비행체 자동조종장치 설계 (Autopilot Design with Two Degree of Freedom $H_{\infty}$ Control Method)

  • 최광진;황준하;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1304-1307
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    • 1996
  • In this paper, we present a robust Two Degree of Freedom (TDF) $H_{\infty}$ controllers for a missile system. The feedback controller is designed to meet robust stability and disturbance rejection specifications while the prefilter is used to improve the robust model matching properties of the closed loop system. As the perturbed model, we use the normalized coprim factor perturbations. These controllers are designed using $H_{\infty}$ optimization procedures, and applied to a missile model via simulation.

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LMI에 기초한 $H_{\infty}$ 서보제어를 이용한 AUV의 강인한 자동 심도 및 방향제어 (Robust Depth and Course Control of AUV Using LMI-based $H_{\infty}$ Servo Control)

  • 양승윤;김인수;이만형
    • 한국군사과학기술학회지
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    • 제3권1호
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    • pp.38-46
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    • 2000
  • In this paper, robust depth and course controllers of AUV(autonomous underwater vehicles) using LMI-based H$_{\infty}$ servo control are proposed. The $H_{\infty}$ servo problem is modified to an $H_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The robust depth and course controllers are designed to be satisfied the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under sea wave and tide disturbances. The performances of the designed controllers are evaluated by computer simulations, and these simulation results show the applicability of the proposed robust depth and course controller.

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전기.유압 서보 시스템의 제어성능 비교 (Comparison of Control Performance in Electro.hydraulic Servo Systems)

  • 김도태;박경섭
    • 유공압시스템학회논문집
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    • 제3권2호
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    • pp.14-20
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    • 2006
  • A controller design procedure for an electro-hydraulic positioning systems has been developed using $H{\infty}$ control. The generalized plant models and weighting function for multiplicative uncertainty modelling error was presented along with $H{\infty}$ controller designs in order to investigate the robust stability and performance. Both disturbance rejection and command tracking performances were improved with the $H{\infty}$ controller, and the better uniformity of time response is achieved across wide range of operating conditions than the PID, LQR and LQG control scheme. The multiplicative uncertainty case was specifically suited for the design of an electro-hydraulic positioning control systems using $H{\infty}$ control.

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연속 냉간 압연기의 다변수 $H_{\infty}$ 외란제거 제어 (Multivariable $H_{\infty}$ disturbance rejection control for tandem cold mills)

  • 김승수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.391-394
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    • 1997
  • A H$_{\infty}$ control techniques with roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occurred in rolling stand itself of tandem cold mills. A robust controller to the disturbances is designed using H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and knowledge of disturbance spectrum in the frequency domain. And, non-standard H$_{\infty}$ control problem caused by selection of weight function having poles on j.omega. axis is discussed. The evaluation for the resultant controller composed by H$_{\infty}$ synthesis is done through computer simulations. The effectiveness of the proposed method is compared to those of the conventional LQ synthesis method and a feedforward controller against roll eccentricity, which was already studied.ied.

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