• 제목/요약/키워드: $H_2$/$H_{\infty}$ Control

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혼합 H$_2$H$\infty$$\mu$-이론을 이용한 벤치마크 문제의 해법 (Mixed H$_2$H$\infty$and $\mu$-synthesis Approach to Coupled Three-Inertia Benchmark Problem)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.22-22
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    • 2000
  • This study investigates the use of mixed $H_2/H_{\infty}$ and $\mu$-synthesis to construct a robust controller for the benchmark problem. The model treated in the problem is a coupled three-inertia system which reflects the dynamics of mechanical vibrations. We, first adopt the mixed $H_2/H_{\infty}$ the to design a feedback controller K(s). Next, $\mu$-synthesis method is applied to the overall system to make use of structured parametric uncertainty.

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불확실한 시스템에 대한 2-자유도 $H_\infty$ 제어기의 성능해석 (Performance Analyses of TDF $H_\infty$ Controllers for Uncertain Systems)

  • 강영중;이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.477-481
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    • 1993
  • The aim of this paper is to analyze via computer simulation the robust performance of TDF(Two Degree of Freedom) H.$_{\infty}$ controller for uncertain systems having parameter uncertainty. We apply the TDF H$_{\infty}$ controller to autopilot design. We evaluate the robust performance of the TDF H$_{\infty}$ controller for uncertain systems and present the guaranteed bound of robust performance via computer simulation.on.

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$\textrm{H}_\infty$ 기법에 의한 발사체의 견실한 제어기 설계 (Robust Controller Design by $\textrm{H}_\infty$ Method for a Launch Vehicle)

  • 이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.463-468
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    • 1992
  • In this paper, discrete-time H$_{\infty}$ controller design in .delta.- domaion using Normalized Coprime Factor plant description is proposed and the loop-shaping method developed by Mcfalane[2], which is known to be very simple and systematic method, is adopted here in H$_{\infty}$ controller design. In particular, we show that .delta.- H$_{\infty}$ controller proposed here is a unified form for the continuous and discrete-time cases.es.

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Design of $H_{\infty}$ Controller with Different Weighting Functions Using Convex Combination

  • Kim Min-Chan;Park Seung-Kyu;Kwak Gun-Pyong
    • Journal of information and communication convergence engineering
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    • 제2권3호
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    • pp.193-197
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    • 2004
  • In this paper, a combination problem of controllers which are the same type of $H_{\infty}$ controllers designed with different weighting functions. This approach can remove the difficulty in the selection of the weighting functions. As a sub-controller, the Youla type of $H_{\infty}$ controller is used. In the $H_{\infty}$ controller, Youla parameterization is used to minimize $H_{\infty}$ norm of mixed sensitivity function by using polynomial approach. Computer simulation results show the robustness improvement and the performance improvement.

LMI에 의한 2관성 공진계의 $H_{\infty}$제어 ($H_{\infty}$ Control of the Two-Mass Resonant System by LMI)

  • 김진수;김승범;신재화;김영석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 F
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    • pp.2196-2199
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    • 1997
  • In the industrial motor drive system, a shaft torsional vibration is 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, a control system design method using Linear Matrix Inequality (LMI), which is a tool for control design that replaces or complements Lyapunov-Riccati equations, is provided and a $H_{\infty}$ speed controller for a induction motor by LMI is proposed. In the $H_{\infty}$ speed controller, weights are used to satisfy tracking and disturbance rejection. Experimental results show the validity of the proposed $H_{\infty}$ speed controller by LMI, and this controller is compared with the state feedback controller.

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다중 선형 시불변 모델에 대한 다목적 $H_2/H_{\infty}$ 제어기 설계 (The Design of Multi-Objective $H_2/H_{\infty}$ Controllers for multiple linear Time-invariant models)

  • 조도현;원영진;이종용
    • 대한전자공학회논문지TE
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    • 제42권3호
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    • pp.13-18
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    • 2005
  • 본 논문은 안정화 조절기와 추종 성능을 확보하기 위하여 폴리도프 모델를 갖는 도립진자 시스템의 다목적 $H_2/H_{\infty}$ 제어기를 설계를 나타낸다. 꼭지점 기법을 갖는 LMI 설계 기법에 의하여 폴리토프 모델에 대한 다목적 제어기를 설계한다. 각 폴리포프 모델에 대하여 설계된 제어기에 의해 제어된 도립진자를 경사각의 초기값에 대한 수직 각을 안정하게 연직 위치로 복원시키는 곳을 관찰한다.

Robust Nonlinear H$\infty$ FIR Filtering for Time-Varying Systems

  • Ryu, Hee-Seob;Son, Won-Kee;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권3호
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    • pp.175-181
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    • 2000
  • This paper investigates the robust nonlinear H$_{\infty}$ filter with FIR(Finite Impulse Response) structure for nonlinear discrete time-varying uncertain systems represented by the state-space model having parameter uncertainty. Firstly, when there is no parameter uncertainty in the system, the discrete-time nominal nonlinear H$_{\infty}$ FIR filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, which corresponds to the standard nonlinear H$_{\infty}$ filter. Secondly, when the system has the parameter uncertainty, the robust nonlinear H$_{\infty}$ FIR filter is proposed for the discrete-time nonlinear uncertain systems.

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S-procedure를 이용한 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 $H_\infty$ 제어기 설계 ($H_\infty$ Controller Design for Discrete-time Linear Systems with Time-varying Delays in States using S-procedure)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Park, Hong-Bae
    • 전자공학회논문지SC
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    • 제39권2호
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    • pp.95-103
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    • 2002
  • 본 논문에서는 상태에 시변 시간지연을 가지는 이산 선형 시스템에 대한 H/sub ∞/ 제어기 설계문제를 다룬다. H/sub ∞/ 제어기가 존재할 충분조건과 설계방법에 대해 논의한다. 본 논문에서 다루는 H/sub ∞/ 제어기법은 상태궤환 제어기로서 시변 시간지연의 상한값과 S-procedure를 이용한다. 또한, 변수 치환, Schur 여수정리 등을 이용하여 충분조건을 모든 변수에 대한 선행 행렬 부등식(linear matrix inequality)으로 표현한다.

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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$H_{\infty}$필터를 이용한 2관성계의 새로운 속도제어 (New Speed Control of 2-Mass System using $H_{\infty}$ Filter)

  • 김진수;김영봉;김영조;신재화;김영석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 B
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    • pp.1098-1100
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    • 2001
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. To solve this problem, $H_{\infty}$ controller was designed. In this paper, $H_{\infty}$ control of 2-mass system using $H_{\infty}$ filter for compensating shaft torque is proposed. Pole-zero maps show the validity of proposed controller.

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