• Title/Summary/Keyword: robust $H_{\infty}$ performance

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Mixed $H^{2}$/$H^{\infty}$ controller design for linear system with time delay and parameter uncertainty (시간지연 및 파라미터 불확실성을 갖는 선형시스템의 혼합 $H^{2}$/$H^{\infty}$ 제어기 설계)

  • 이갑래;정은태;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.560-564
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    • 1996
  • A mixed H$^{2}$/$H^{\infty}$ controller design method for linear systems with time delay in all variables and parameter uncertainties in all system matrices is proposed. Robust $H^{\infty}$ performance and H$^{2}$ performance condition that accounts for model-matching of closed loop system and disturbance rejection is also derived. With expressing uncertain system with linear fractional transformation form, we transform the robust stability and performance problem to the H$^{2}$/$H^{\infty}$ optimization problem and design a mixed H$^{2}$/$H^{\infty}$ controller. Using the proposed method, mixed H$^{2}$/$H^{\infty}$ controller for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.t performance.ance.

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

  • 강영중;이군석;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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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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Robust $H^{\infty}$ Performance Controller Design with Parameter Uncertainty and Unmodeled Dynamics (파라미터 불확실성 및 모델 불확실성에 대한 $H^{\infty}$ 견실성능 제어기 설계)

  • Lee, Kap-Rai;Oh, Do-Chang;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.9-16
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    • 1997
  • The method of designing robust two degree of freedom(2 DOF) controllers for linear systems with parameter uncertainties and unmodeled dynamics is presented in this paper. Robust performance condition that accounts for robust model matching of closed loop system and disturbance rejection is derived. Using the robust performance condition, the feedback controller is designed to meet robust stability and disturbance rejection specifications, while prefilter is used to improve the robust model matching properties. The $H^{\infty}$ and $\mu$ controller for six degree of freedom vehicle with parameter variations are designed and compared. Simulations for hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.

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Robust $H_{\infty}$ Controller Design for Steam Generator Water Level Control using Mixed $H_{\infty}$ Optimization Method (혼합 $H_{\infty}$ 최적화 기법을 이용한 견실 $H_{\infty}$ 증기발생기 수위제어기 설계)

  • 서성환;조희수;박홍배
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.363-369
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    • 1999
  • In this paper, we design the robust $H_{\infty}$ controller for water level control of steam generator using a mixed $H_{\infty}$ optimization with model-matching method. Firstly we choose the desired model which has good disturbance rejection performance. Secondly we design a stabilizing controller to keep the model-matching error small and also provide sufficiently large stability margin against additive perturbations of the nominal plant. Simulation results show that proposed robust $H_{\infty}$ controller at specific power operation has satisfactory performances against the variations of load power, steam flow rate, primary circuit coolant temperature, and feedwater temperature. It can be also observed that the proposed robust $H_{\infty}$ controller exhibits better robust stability than conventional PI controller.

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A Design of GA-Based Model-Following Boiler-Turbine H∞ Control System Having Robust Performance (유전 알고리즘 기반의 강인한 성능을 가지는 모델추종형 보일러-터빈 H∞ 제어 시스템의 설계)

  • Hwang, Hyun-Joon
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.1
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    • pp.126-132
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    • 2012
  • This paper suggests a design method of the model-following H${\infty}$ control system having robust performance. This H${\infty}$ control system is designed by applying genetic algorithm(GA) with reference model to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by Glover-Doyle algorithm which can design H${\infty}$ controller in the state space. These weighting functions and design parameter ${\gamma}$ are optimized simultaneously in the search domain guaranteeing the robust performance of closed-loop system. The effectiveness of this H${\infty}$ control system is verified by applying to the boiler-turbine control system.

A Design on Model-Following $H_{\infty}$ Control System Having Robust Performance (강인한 성능을 가지는 모델추종형 $H_{\infty}$ 제어 시스템의 설계)

  • Hwang, Hyun-Joon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.5
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    • pp.913-921
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    • 2009
  • This paper suggests a deign method of the model-following $H{\infty}$ control system having robust performance. This $H{\infty}$ control system is designed by applying genetic algorithm(GA) with reference model to the optimal determination of weighting functions and design parameter ${\gamma}$ that are given by $H{\infty}$ control theory. These weighting functions and design parameter ${\gamma}$ are optimized simultaneously in the search domain guaranteeing the robust performance of closed-loop system. The effectiveness of this $H_{\infty}$ control system is verified by computer simulation.

$H_{\infty}$ Control of Seeker Scan-Loop using LSDP (LSDP를 이용한 탐색기 주사루프의 $H_{\infty}$ 제어)

  • Lee, Ho-Pyeong;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.78-86
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    • 1995
  • $H_{\infty}$ Controller of seeker scan-loop is designed using LSDP proposed by McFarlane. The performance and robustness of $H_{\infty}$ controller are analyzed using robustness theorems by Lehtomaki and compared with those of the LQG/LTR controller. Especially, structured singular value .mu. -test of Doyle is used to evaluate robust performance of seeker scan-loop. It is demonstated that seeker scan-loop by $H_{\infty}$ controller is very robust to model uncertainties described by additive and multiplicative perturbations.

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ROBUST MIXED $H_2/H_{\infty}$ GUARANTEED COST CONTROL OF UNCERTAIN STOCHASTIC NEUTRAL SYSTEMS

  • Mao, Weihua;Deng, Feiqi;Wan, Anhua
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.699-717
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    • 2012
  • In this paper, we deal with the robust mixed $H_2/H_{\infty}$ guaranteed-cost control problem involving uncertain neutral stochastic distributed delay systems. More precisely, the aim of this problem is to design a robust mixed $H_2/H_{\infty}$ guaranteed-cost controller such that the close-loop system is stochastic mean-square exponentially stable, and an $H_2$ performance measure upper bound is guaranteed, for a prescribed $H_{\infty}$ attenuation level ${\gamma}$. Therefore, the fast convergence can be fulfilled and the proposed controller is more appealing in engineering practice. Based on the Lyapunov-Krasovskii functional theory, new delay-dependent sufficient criteria are proposed to guarantee the existence of a desired robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which are derived in terms of linear matrix inequalities(LMIs). Furthermore, the design problem of the optimal robust mixed $H_2/H_{\infty}$ guaranteed cost controller, which minimized an $H_2$ performance measure upper bound, is transformed into a convex optimization problem with LMIs constraints. Finally, two simulation examples illustrate the design procedure and verify the expected control performance.

Robust $H_{\infty}$ Control for Bilinear Systems with Parameter Uncertainties via output Feedback

  • Kim, Young-Joong;Lee, Su-Gu;Chang, Sae-Kwon;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.386-391
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    • 2003
  • This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties and exogenous disturbance via output feedback. $H_{\infty}$ control is achieved via separation into a $H_{\infty}$ state feedback control problem and a $H_{\infty}$ state estimation problem. The suitable robust stabilizing output feedback control law can be constructed in term of approximated solution to x-dependent Riccati equation using successive approximation technique. Also, the $H_{\infty}$ filter gain can be constructed in term of solution to algebraic Riccati equation. The output feedback control robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop systems in the face of parameter uncertainties and exogenous disturbance.

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Robust $H_{\infty}$ Controller Design for Performance Improvement of Semi-Active Suspension System (반능동 현가장치의 성능향상을 위한 견실 $H_{\infty}$ 제어기 설계)

  • 정승권
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.4
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    • pp.85-90
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    • 2000
  • In this paper, a robust $H_{\infty}$ a controller for semi-active suspension system is proposed. For the improvement of ride quality, the robust $H_{\infty}$ controller is designed to satisfy robust stability and road disturbance attenuation using an $H_{\infty}$ control design procedure. The performances of the design controller for some road conditions are evaluated by computer simulation and finally these simulation results show the usefulness and applicability of the proposed robust $H_{\infty}$ controller.

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