• 제목/요약/키워드: $H^{\infty}$ filter

검색결과 84건 처리시간 0.027초

$H_\infty$ 제어기법을 적응한 다중비 필터 뱅크의 설계 (A Design of Mutirate Filter flanks using Un Control Approach)

  • 이상철;박종우;박계원
    • 한국정보통신학회논문지
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    • 제5권6호
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    • pp.1089-1093
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    • 2001
  • 다중비 필터뱅크의 합성 필터 선계 문제에 H$\infty$ 제어기법을 적용한다. 순수한 시간 지연 시스템을 기준 모델로 설정하여 이 지연 시스템과 다중비 필터 뱅크와의 오차 시스템을 고려한다. 설계 하고자 하는 합성 필터는 오차 시스템의 ι$_2$-유도된 노름을 최소화하도록 설계한다.

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견실한 $H_{\infty}$ FIR 필터를 이용한 기동표적의 추적 (Tracking a maneuvering target using robust $H_{\infty}$ FIR filter)

  • 유경상;류희섭;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.759-762
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    • 1996
  • In previous work Kwon and Yoo [5] have shown that the FIR tracking algorithm using the input estimation technique. However, it has not solved the problem of systems with parameter uncertainties. Therefore, in this paper we propose a new robust $H_{\infty}$ FIR tracking filter to solve the target tracking problems under systems with parameter uncertainties. Also, we use here the input estimation approach to account for the possibility of maneuver. Simulation results show that the robust $H_{\infty}$ FIR tracking filter proposed here still has good tracking performance for a maneuvering target tracking problem even under all system parameter uncertainties.

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이산시간 폴리토프형 불확실성 시스템의 견실 $H_{\infty}$ 필터링 (Robust $H_{\infty}$ filtering for discrete-time polytopic uncertain systems)

  • 김종해;오도창;이갑래
    • 전자공학회논문지SC
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    • 제39권5호
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    • pp.26-33
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    • 2002
  • 본 논문에서는 볼록 한계 불확실성(convex bounded uncertainty)을 가지는 이산시간 선형 시스템의 견실 $H_{\infty}$ 필터 설계 알고리듬을 제안한다. 다루고 있는 파라미터 불확실성은 폴리토프형(polytope type) 볼록 한계를 가지는 형태이다. 본 논문의 목적은 필터링 오차 시스템의 점근 안정성(asymptotic stability)과 변형한 성능지수의 유도 $L_2$ 노옴($L_2$ induced norm) 한계치를 해적적으로 제시하는 안정한 견실 $H_{\infty}$ 필터를 설계하는 것이다. 견실 $H_{\infty}$ 필터가 존재할 충분조건과 필터 설계 방법은 볼록 최적화 기법에 의하여 효과적으로 해를 구하는 선형행렬부등식 방법에 의하여 제시한다. 제안한 알고리듬의 타당성은 예제를 통하여 확인한다.

시변 시간지연을 가지는 불확실 특이시스템의 지연 종속 강인 $H_{\infty}$ 필터링 (Delay-dependent Robust $H_{\infty}$ Filtering for Uncertain Descriptor Systems with Time-varying Delay)

  • 김종해
    • 전기학회논문지
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    • 제58권9호
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    • pp.1796-1801
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    • 2009
  • This paper is concerned with the problem of delay-dependent robust $H_{\infty}$ filtering for uncertain descriptor systems with time-varying delay. The considering uncertainty is convex compact set of polytoic type. The purpose is the design of a linear filter such that the resulting filtering error descriptor system is regular, impulse-free, and asymptotically stable with $H_{\infty}$ norm bound. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) for delayed descriptor systems is derived. Based on the derived BRL, a robust $H_{\infty}$ filter is designed in terms of linear matrix inequaltity (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

시간지연 퍼지 시스템의 지연 종속 H 필터 설계 (Delay-dependent v Filter Design for Delayed Fuzzy Dynamic Systems)

  • Lee, Kap-Rai
    • 제어로봇시스템학회논문지
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    • 제10권7호
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    • pp.618-624
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    • 2004
  • This paper presents a delay dependent fuzzy H_\infty$ filter design method for delayed fuzzy dynamic systems. Using delay-dependent Lyapunov function, the global exponential stability and H_\infty$ performance problem are discussed. A sufficient condition for the existence of fuzzy filter is presented in terms of linear matrix inequalities(LMIs). The filter design utilize the concept of parallel distributed compensation. And the filter gains can also be directly obtained from the LMI solutions. A simulation example is given to illustrate the design procedures and performance of the proposed methods.

시간지연과 불확실성을 가지는 위상동기루프의 루프필터에 대한 혼합 $H_2/H_{\infty}$ 출력궤환 제어기 설계 (Mixed $H_2/H_{\infty}$ Output Feedback Controller Design for PLL Loop Filter with Uncertainties and Time-delay)

  • 이경호;한정엽;박홍배
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 하계종합학술대회 논문집 V
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    • pp.2589-2592
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    • 2003
  • In this paper, a robust mixed H$_2$/H$\_$$\infty$/ output feedback control method is applied to the design of loop filter for PLL carrier phase tracking. The proposed method successfully copes with large S-curve slope uncertainty and a significant decision delay in the closed-loop that may exist In modern receivers due to a convolutional decoder or an equalizer. The objective is to design an output feedback controller which minimizes the H$_2$performance while satisfying the H$\_$$\infty$/ performance to guarantee the gain margin and phase margin for linear time invariant(LTI) polytopic uncertain systems. LMIs based approach is given to solve this problem. We can verify the H$\_$$\infty$/ performance satisfaction and minimize the phase detector error through the simulation result.

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An Extended Robust $H_{\infty}$ Filter for Nonlinear Constrained Uncertain System

  • Seo, Jae-Won;Yu, Myeong-Jong;Park, Chan-Gook;Lee, Jang-Gyu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.565-569
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    • 2003
  • In this paper, a robust filter is proposed to effectively estimate the system states in the case where system model uncertainties as well as disturbances are present. The proposed robust filter is constructed based on the linear approximation methods for a general nonlinear uncertain system with an integral quadratic constraint. We also derive the important characteristic of the proposed filter, a modified $H_{\infty}$ performance index. Analysis results show that the proposed filter has robustness against disturbances, such as process and measurement noises, and against parameter uncertainties. Simulation results show that the proposed filter effectively improves the performance.

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$H{\infty}$제어기법에 의한 연속 냉간 압연시스템의 두께 제어 (Thickness Control of Tandem Cold Mills Using $H{\infty}$Control Techniques)

  • 김종식;김승수
    • 한국정밀공학회지
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    • 제15권8호
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    • pp.145-155
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    • 1998
  • An $H{\infty}$ controller with a roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occured in rolling stands themselves of tandem cold mills. A robust controller to the disturbances is designed by H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and the knowledge of disturbance spectrum in the frequency domain. First, fundamental problems in tandem cold mills such as process transport delay inherent in the exit thickness measurement and the feedforward loading of roll eccentricity signals on the exit thickness be overcome by the roll eccentricity filtering and the compensation for the error of gaugemeter thickness estimator. And non-satndard $H{\infty}$ control problem caused by the selection of weighting function having poles on the $J{\omega}$-axis is discussed. The resultant controller composed by an $H{\infty}$ controller and an estimator for the roll eccentricity is evaluated through computer simulations. The effectiveness of the proposed control method is compared to that of the conventional LQ controller method and a feedforward controller for the roll eccentricity, which has been already studied.

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선형 파라마터 변이 시스템에 대한 혼합 $H^2/H^{\infty}$ 필터 설계 (Mixed $H^2/H^{\infty}$ Filter Design for Linear Parameter Varying System)

  • 이갑래;윤한오
    • 전자공학회논문지S
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    • 제34S권11호
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    • pp.73-79
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    • 1997
  • This paepr is concerned with the design of linear parameter varying filter that ensures H$^{2}$/$H^{\infty}$ performance for a class of linear parameter varying(LPV) plants. The state space matrices of plant are assumed to be dependent affinely on a vector of time varying parameter, and each parameter is assumed to be measured in real time. Using the linear matrix inequalities(LMIs), we can solve the synthesis problem and the solution of LMIs is carried out off-line. The designed filter is parameter varying and automatically scheduled along parameter trajectories. Because the solution of LMIs is carried out off-line, computation time of filter gain is reduced. The validity of the proposed algorithm is verifed through computer simulation..

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[ $H_{\infty}$ ] Filtering for Descriptor Systems

  • Chen, Yue-Peng;Zhou, Zu-De;Zeng, Chun-Nian;Zhang, Qing-Ling
    • International Journal of Control, Automation, and Systems
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    • 제4권6호
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    • pp.697-704
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    • 2006
  • The paper is concerned with $H_{\infty}$ filtering for descriptor systems. A necessary and sufficient condition is established in terms of linear matrix inequalities(LMIs) for the existence of normal filters such that the error systems are admissible and the transfer function from the disturbance to the filtering error output satisfies a prescribed $H_{\infty}$-norm bound constraint. When these LMIs are feasible, an explicit parameterization expression of all desired normal filter is given. All these results are yielded without decomposing the original descriptor systems, which makes the filter design procedure simple and direct. Finally, a numerical example is derived to demonstrate the applicability of the proposed approach.