• Title/Summary/Keyword: $H^\infty$control

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$H^{\infty}$-optimization using the modified interpolation algorithm (개선된 보간 알고리즘을 이용한 $H^{\infty}$-최적화)

  • 이태형;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.46-51
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    • 1991
  • An algorithm of finding a solution to an $H^{\infty}$-minimization problem is proposed, and the solution is obtained explicity in terms of closed-form. We construct an optimal controller subject to the interpolation constraints such that $H^{\infty}$-norm and the minimized value of transfer function matrix are equal.l.

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$H^{\infty}$ Optomal Control Using the Lagrange Multiplier Method (Lagrange 승산자 방법을 이용한$H^{\infty}$최적제어)

  • 전재완;윤한오;박홍배;김수중
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.40-45
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    • 1991
  • This paper deals with the design of feedback controllers which minimize the $H^{\infty}$-norm of the weighted sensitivity function. Using the Lagrange multiplier method and the Nevanlinna-Pick interpolation theory, an algorithm which stabilizes a plant and makes the output to track the reference signal is proposed..

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Constrained $H_\infty$ Optimal Control

  • Park, Jinhoon
    • 전기의세계
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    • v.49 no.9
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    • pp.4-8
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    • 2000
  • Recently we have shown based on Lyapunov theorem that the closed loop system with the constrained infinite horizon H$\infty$ optimal controller is exponentially stable. moreover the on-line feedback implementation of the constrained infinite horizon H$\infty$ optimal control based on quadratic programs has been proposed. n this paper we summarize and discuss these results.

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State Feedback Control of Two-Mass Resonant System using $H_{\infty}$ Filter ($H_{\infty}$ 필터를 이용한 2관성 공진계의 상태궤환제어)

  • 김진수;김현중;김영석
    • Proceedings of the KIPE Conference
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    • 1997.07a
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    • pp.332-335
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    • 1997
  • In the industrial motor drive system, a shift torsional vibration si often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of such a system. In this paper, the state feedback controller of the two-mass resonant system using the H$\infty$ filter is proposed. The H$\infty$ filter is robust in noise and disturbance. Simulation results show the validity proposed controller.

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Digital Implementation of $H_\infty$ Optimal Controller ($H_\infty$ 최적제어기의 이산화 구현)

  • 김광우;오도창;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.471-476
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    • 1993
  • In this paper we proposed the digital implementation of an $H^{\infty}$-optimal controller using lifting technique and $H^{\infty}$-control theory. The discrete controller is obtained through iterative adjustment of sampling time and weighting function, which can ber performed by computing the L$_{2}$-induced input to output norm of the sampled-data system with bandlimited exogenous input. The resulting sampled-data bandlimited exogenous input. The resulting sampled-data system is stable and the performance including inter-sampling behaviour of the hybrid system can be also optimized.d.

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$H_\infty$ Controller Design Via the Reformulation of the Standard Plant (표준플랜트의 재구성을 통한 $H_\infty$ 제어기설계)

  • 박준곤;방경호;엄태호;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.486-490
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    • 1993
  • This paper presents an improved algorithm which enables to find a suboptimal $H^{\infty}$ controller. In the $H^{\infty}$ control problem with output multiplicative uncertainty, the Glover-Doyle algorithm has sorne constraints for the standard plant. The proposed algorithm removes them by reformulating the standard plant. We show the validity of this algorithm by investigating the variation of norm-bound.d.

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Robust $H_{\infty}$ FIR Sampled-Date Filtering for Uncertain Time-Varying Systems with Unknown Nonlinearity

  • Ryu, Hee-Seob;Byung-Moon;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.2
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    • pp.83-88
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    • 2001
  • The robust linear H(sub)$\infty$ FIR filter, which guarantees a prescribed H(sub)$\infty$ performance, is designed for continuous time-varying systems with unknown cone-bounded nonlinearity. The infinite horizon filtering for time-varying systems is systems is investigated in therms of two Riccati equations by the finite moving horizon.

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Reduced Order H$\infty$ Controller Synthesis

  • Ogawa, Tomohiro;Iida, Michihiko
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.161-166
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    • 1998
  • In this paper, an approach to the reduced order H$_{\infty}$ controller synthesis is proposed. This approach employs the frequency weighted model reduction whose frequency weights are deduced from the closed-loop system regarding the controller order reduction errors as uncertainties in a plant, while the resultant reduced order H$_{\infty}$ controller guarantees prescribed H$_{\infty}$ control performances.

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Congestion Control in ATM Networks using an $H_{\infty}$ Filter ($H_{\infty}$ 필터를 이용한 초고속 비동기전송망의 체증 제어)

  • Lee, Su-Gu;Kim, Young-Jung;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2137-2139
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    • 2003
  • 본 논문에서는 초고속 비동기전송(ATM)망에서의 체증 문제를 풀기위해 $H_{\infty}$ 필터 사용을 제안한다. 많은 제어기들에 대한 초기 연구들은 가용 비트율이 망 체증이 제거될 수 있도록 버퍼에서의 원하는 셀들의 큐의 길이를 원하는 값 범위내에서 성공적으로 조절될 수 있음을 보이고 있다. 본 논문에서는 망의 노이즈를 가우시안 랜덤 열로 근사화하는 ATM망에 대하여 현대 제어 기법인 $H_{\infty}$ 필터를 적용한다. 따라서 제안한 $H_{\infty}$ 필터는 망의 외란으로 밭생하는 망의 출력의 영향을 미리 주어지는 $H_{\infty}$ 노옴값 이내로 유지시켜준다. 따라서 미리 주어지는 $H_{\infty}$ 노옴값이 작다면 제안한 $H_{\infty}$ 필터는 외란에 강인한 성능을 보여줄 수 있다. $H_{\infty}$ 필터 이득은 대수적인 리카티 방정식의 해로 구해진다.

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A Study on Power System Stability Enhancement by Robust Control of SPFC and Generators

  • Lee, Byung-Ha
    • KIEE International Transactions on Power Engineering
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    • v.4A no.3
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    • pp.109-114
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    • 2004
  • In this paper, the H$\infty$ control method is applied in the control of SPFC and generators in order to obtain the robust stability performance of the power system. Moreover, a SPFC H$\infty$ controller based on loop shaping is designed to achieve first-rate tracking properties in addition to the robust stability. This robust control method is applied to a Ward and Hale 6-bus power system and the effects are analyzed. The MATLAB program is used for simulation of the robust controller.