• 제목/요약/키워드: $H_{\infty)$ control

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Compensation of Networked Control Systems using LMI-Based H_$\infty$Optimization Method

  • Ho-Jun Yoo;Myung-Eui Lee;Oh-Kyu Kwon
    • KIEE International Transaction on Systems and Control
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    • 제2D권2호
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    • pp.72-77
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    • 2002
  • Delay and noise in networked control systems are inevitable and can degrade system performance or stability This paper propose a compensation method for networked control systems with network-induced delay and noise using LMI(linear matrix inequality)-based H_\infty optimization. The H_\infty optimization methods have adapted to account for both the time delay and noise effects. Some simulations applied to inverted pendulum with networked control show that the proposed method works well.

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편로드 유압시스템의 강인 위치제어에 관한 연구 (A Study on the Robust Position Control of Single-rod Hydraulic System)

  • 조택동;서송호;양상민
    • 한국정밀공학회지
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    • 제16권3호통권96호
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    • pp.128-135
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    • 1999
  • A driving simulators of aircraft and vehicle may consist of hydraulic power systems with many single-rod cylinders. The single-rod hydraulic systems are convenient but need more robust control scheme in order to achieve a reliable performance against the wide range of operating disturbances and the inherent model uncertainties. $H_{\infty}$ control scheme was implemented to the 2 degree-of-freedom hydraulic device similar to the simple driving simulator. With the reasonable disturbances from sensor, base and pump and also with the linearization of model, the simulation and experimental results showed good agreements.

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파라미터 불확실성을 갖는 시간지연 비선형시스템의 지연종속 퍼지 $H_{\infty}$ 제어 (Delay dependent fuzzy $H_{\infty}$ control of delayed nonlinear systems with parameter uncertainty)

  • 이갑래;김태식;이해창
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.110-113
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    • 2004
  • A delay dependent fuzzy $H_{\infty}$ controller design method for delayed nonlinear systems with parameter uncertainty is considered. Using delay-dependent Lyapunov function the asymptotical stability and $H_{\infty}$n performance problem :are discussed. A sufficient condition for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example through radar gimbal system is given to illustrate the design procedures and performances of the prosed methods.

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Riccati Equation Approach to $\textrm{H}_\infty$ Robust Performance Problem for Descriptor Form System

  • Shen, Tielong;Tamura, Katsutoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.95-99
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    • 1993
  • In this paper, we discuss H$_{\infty}$ robust performance problem for uncertain system described in a descriptor form. We show that the method based on Riccati equation can be extended to solve this problem. First, such a sufficient condition is given that the system described in a descriptor form is quadratic stable and H$_{\infty}$ norm of a specified transfer function is less than a given level. Using this result, a state feedback law which ensures H$_{\infty}$ robust performance of closed loop system is derived based on a positive definite solution of a Riccati equation. This result shows that a solution of the problem can be also obtained by solving H$_{\infty}$ standard problem for an extended plant. Finally, a design example and simulation results will be given.ven.

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지역간 진동모드 제동을 위한 $H{\infty}$-TCSC 최적 제어기 설계 (TCSC $H{\infty}$ Controller Design for Damping Interarea Oscillations)

  • 김용구;남해곤;전영환;심관식;송성근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 C
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    • pp.1032-1034
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    • 1999
  • The design of an $H{\infty}$ controller for a TCSC to enhance the damping of an inter-area oscillation in a Power system is presented. The paper describes a comprehensive and systematic way of applying the $H{\infty}$ control design algorithm in power systems. Eigen sensitivity analysis to selction a TCSC location is described. Time simulation and eigenvalue analysis show that the proposed TCSC $H{\infty}$ controller can suppress the inter-area oscillations efficiently with robustness.

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슬라이딩 모드를 이용한 강인한 $H_{\infty}$ 제어기의 설계 (A Study on the $H_{\infty}$ Robust Controller of Sliding Mode)

  • 박승규;안호균;김민찬
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.747-749
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    • 1998
  • A new $H_{\infty}$ robust controller is proposed by using Sliding Mode Control (SMC). The combination of $H_{\infty}$ with SMC is achieved by proposing a novel sliding surface which has a virtual state. This sliding surface has the nominal dynamics of an original system controlled by $H_{\infty}$ controller. Its design is based on the augumented system whose dynamics have one higher order than that of the original system. The reaching phase is removed by setting an initial virtual state which makes the initial sliding function equal to zero.

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샘플치 $H{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 이산화 기법 적용 (The Sampled-Data $H{\infty}$ Problem: Applying the Discretization Method via a Closed-Loop Expression of Worst-Case Disturbance)

  • 조도현;박진홍
    • 한국컴퓨터산업학회논문지
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    • 제2권7호
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    • pp.967-974
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    • 2001
  • 리프팅 기법을 사용하지 않고 최악의 경우에 대한 등가 이산화 절차를 통하여 샘플치 $H{\infty}$ 문제를 다루었다. 이산 문제 특성화를 유도하기 위해서 표준 선형 2차 이론의 결과를 이용하였다. 제안한 방법은 한 번의 행렬 지수함수 풀이만을 필요로 하므로 리프팅 기법에 비해 매우 간단하지만, 리프팅 기법을 사용하여 구한 샘플치 $H{\infty}$ 최적 제어기와의 성능차이가 거의 없었다. 또한, 제안한 방법을 도립진자 모델에 적용하였다

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Robust H$\infty$ Filtering for discrete-Time Polytopic Uncertain Systems with Multiple Time Delays

  • Kim, Jong-Hae;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.34.3-34
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    • 2001
  • The design method of H$\infty$ filter for discrete-time uncertain linear systems with multiple state delays is investigated. The uncertain parameters are assumed to be unknown but belonging to known convex compact set of polytope type less conservative than norm bounded parameter uncertainty. The modified H$\infty$ performance measure is introduced to consider the initial states values which affect the performance of filter. The objective is to design a stable H$\infty$ filter guaranteeing asymptotic stability of filtering error dynamics and minimizing H$\infty$ norm bound. The sufficient condition for the existence of filter and the filter design method are established by LMI (linear matrix inequality) approach.

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LMI-based $H_{\infty}$ Controller Design for a Line of Sight Stabilization System

  • Lee, Won-Gu;Keh, Joong-Eup;Kim, In-Soo;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.497-497
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    • 2000
  • This paper is concerned with the design of LMI based H$_{\infty}$ controller for a line of sight(LOS) stabilization system. This system which is even linearized to analyse nonlinear characteristic has also a lot of uncertainties. In addition, the angular velocity disturbance from the vehicle's driving deteriorates the stabilized LOS, main purpose of this system. In case of fast driving, particularly, all components which are ignored and skipped to make mathematical modelling act as the uncertainties against this system. The robustness against these uncertainties has been also continuously demanded including the well tracking performance for the target. Therefore, this paper employed H$_{\infty}$ control theory to satisfy these problems and LMI method to make suitable controller with few constraints for this system. Although this system matrix doesn't have full rank, this method make it possible to design H$_{\infty}$ controller and deal with R and S matrices for reducing its order. Consequently, this paper shows that the re-analyses on the real disturbances are achieved and the proposed robust controller for them has better disturbance attenuation and tracking performance. This paper contributes the applicability of reduced order H$_{\infty}$ controller to real system by handling LMI..

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The Level Control System Design of the Nuclear Steam Generator for Robustness and Performance

  • Lee, Yoon-Joon;Lee, Heon-Ju;Kim, Kyung-Yeon
    • Nuclear Engineering and Technology
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    • 제32권2호
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    • pp.157-168
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    • 2000
  • The nuclear steam generator level control system is designed by robust control methods. The feedwater controller is designed by three methods of the H$\infty$, the mixed weight sensitivity and the structured singular value. Then the controller located on the feedback loop of the level control system is designed. For the system performance, the controller of simple PID whose coefficients vary with the power is selected. The simulations show that the system has a good performance with proper stability margins.

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