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

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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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    • v.32 no.2
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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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Robust Vibration Control for a Building with Parameter Uncertainty (파라미터 불확실성을 고려한 건물의 견실 진동 제어)

  • 최재원;김신종;이만형
    • Journal of KSNVE
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    • v.10 no.4
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    • pp.575-583
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    • 2000
  • In this paper, we design a vibration control system that includes a 3-D.O.F. mass-spring-damper structure for the analytical model of a building that is excited at the base of this structure by an external dynamic force, and one Active Mass Damper(AMD) on the top of this structure to generate control forces fro attenuation of the structural response. Two robust controllers based on $\mu$-synthesis and H$\infty$ optimal control are designed for the structural system to show that the performance of a control system can be degraded by some parameter uncertainties such as mass, stiffness coefficients, and/or damping coefficients. The performance of the two controllers are compared in terms of nominal performance, robust stability and robust performance by simulations.

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Design of Robust Speed Controllers for Marine Diesel Engine (선박용 대형 디젤 기관의 강인 속도 제어기 설계)

  • Hwang, Soon-Kyu;Lee, Young-Chan;Kim, Chang-Hwa;Jung, Byung-Gun
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.6
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    • pp.820-828
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    • 2011
  • Energy saving is one of the most important factors for profits in marine transportation. In order to reduce the specific fuel oil consumption, the ship's propulsion efficiency must be increased as much as possible. The propulsion efficiency depends upon a combination of propulsion engine and propeller that has better efficiency as lower rotational speed. As the engine has lower speed the variation of rotational torque become larger because of the longer delay time in fuel oil injection process. In this study, robust control theory is applied to the design of engine speed controllers which are sub-optimal $H_{\infty}$ controller, $H_{\infty}$ loop-shaping controller and ${\mu}$-synthesis controller considering robust stability and robust performance. And the validity of these three controllers is investigated through the results of computer simulation.

Robust H(sup)$\infty$ FIR Sampled-Data Filtering for Uncertain Time-Varying Systems with Lipschitz Nonlinearity

  • Ryu, Hee-Seob;Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.255-261
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    • 2000
  • This paper presents the results of the robust H(sub)$\infty$ FIR filtering for a class of nonlinear continuous time-varying systems subject to real norm-bounded parameter uncertainty and know Lipschitz nonlinearity under sampled measurements. We address the problem of designing filters, using sampled measurements, which guarantee a prescribed H(sub)$\infty$ performance in continuous time-varying context, irrespective of the parameter uncertainty and unknown initial states. The infinite horizon causal H(sub)$\infty$FIR filter are investigated using the finite moving horizon in terms of two Riccati equations with finite discrete jumps.

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Design of Decentralized $H^{\infty}$ State Estimator in Indefinite Inner Product Spaces (부정 내적 공간에서의 준최적 분산 $H^{\infty}$ 상태 추정기 설계)

  • Ra, Won-Sang;Jin, Seung-Hee;Park, Jin-Bae;Yoon, Tae-Sung;Choe, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.436-439
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    • 1998
  • In this paper, we propose a centralized $H^{\infty}$ state estimator for the multi state estimation problem using the result suboptimal $H^{\infty}$ filter is a special form of Ka filter whose state equations are defined in md inner product spaces. Con- ventional decentr filters are based on Kalman filter assumes precesses and measurements noises are w Gaussian noise. Therefore, Kalman based decent filter design hasn't robust performance in situation. Simulation results show that decent $H^{\infty}$ filter has robust perfotmance in worst case sensor fault situation.

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Damping Inter-area Low Frequency Oscillations in Large Power Systems with $H_{\infty}$ Control of TCSC PARTII: Design of $H_{\infty}$ Controller (TCSC의 $H_{\infty}$ 제어에 의한 대규모 전력계통의 지역간 저주파진동 억제 Part II: $H_{\infty}$제어기 설계)

  • Kim, Yong-Gu;Jeon, Yeong-Hwan;Song, Seong-Geun;Sim, Gwan-Sik;Nam, Hae-Gon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.5
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    • pp.233-241
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    • 2000
  • This paper presents a systematic design procedure of $H_{\infty}$ controller of TCSC for damping low frequency inter-area oscillations in large power systems. Sensitivities of the inter-area mode for changes in line susceptance are computed using the eigen-sensitivity theory of augmented system matrix and TCSC locations are selected using the line sensitivities. The reduced model required for designing a manageable-size $H_{\infty}$ controller is obtained using the reduced frequency domain system identification method and the various weighting functions are tuned systematically to provide a robust performance. The proposed $H_{\infty}$ controller proved to be very effective for damping the inter-area mode of the large KEPCO power system.

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

  • 이경호;한정엽;박홍배
    • Proceedings of the IEEK Conference
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    • 2003.07c
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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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Tracking control of variable stiffness hysteretic-systems using linear-parameter-varying gain-scheduled controller

  • Pasala, D.T.R.;Nagarajaiah, S.;Grigoriadis, K.M.
    • Smart Structures and Systems
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    • v.9 no.4
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    • pp.373-392
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    • 2012
  • Tracking control of systems with variable stiffness hysteresis using a gain-scheduled (GS) controller is developed in this paper. Variable stiffness hysteretic system is represented as quasi linear parameter dependent system with known bounds on parameters. Assuming that the parameters can be measured or estimated in real-time, a GS controller that ensures the performance and the stability of the closed-loop system over the entire range of parameter variation is designed. The proposed method is implemented on a spring-mass system which consists of a semi-active independently variable stiffness (SAIVS) device that exhibits hysteresis and precisely controllable stiffness change in real-time. The SAIVS system with variable stiffness hysteresis is represented as quasi linear parameter varying (LPV) system with two parameters: linear time-varying stiffness (parameter with slow variation rate) and stiffness of the friction-hysteresis (parameter with high variation rate). The proposed LPV-GS controller can accommodate both slow and fast varying parameter, which was not possible with the controllers proposed in the prior studies. Effectiveness of the proposed controller is demonstrated by comparing the results with a fixed robust $\mathcal{H}_{\infty}$ controller that assumes the parameter variation as an uncertainty. Superior performance of the LPV-GS over the robust $\mathcal{H}_{\infty}$ controller is demonstrated for varying stiffness hysteresis of SAIVS device and for different ranges of tracking displacements. The LPV-GS controller is capable of adapting to any parameter changes whereas the $\mathcal{H}_{\infty}$ controller is effective only when the system parameters are in the vicinity of the nominal plant parameters for which the controller is designed. The robust $\mathcal{H}_{\infty}$ controller becomes unstable under large parameter variations but the LPV-GS will ensure stability and guarantee the desired closed-loop performance.

Robust Control of Induction Motor with HTheory based on Loopshaping

  • Benderradji, Hadda;Chrifi-Alaoui, Larbi;Mahieddine-Mahmoud, Sofiane;Makouf, Abdessalam
    • Journal of Electrical Engineering and Technology
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    • v.6 no.2
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    • pp.226-232
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    • 2011
  • The $H_{\infty}$ approach, adopted in this paper, is based on loop shaping using a normalized coprime factor combined with a field-oriented control to control induction motor. We develop two loops. The first one, the inner loop, controls the stator current by $H{\infty}$ controller in order to obtain good performance. The second loop, the outer one, guarantees stability and tracking performance of speed and rotor flux using a proportional integral controller. When the rotor flux cannot be measured, we introduce a flux observer to estimate the rotor flux. Simulation and experimental results are presented to validate the effectiveness and the good performance of this control technique.

Robust Power Control for Cognitive Radio in Spectrum Underlay Networks

  • Zhao, Nan;Sun, Hongjian
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.7
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    • pp.1214-1229
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    • 2011
  • Power control is a key technique in spectrum underlay cognitive network to guarantee the interference temperature limit of the primary users (PUs) and the quality of service of the secondary users (SUs). In this paper, a robust power control scheme via link gain pricing with $H_{\infty}$ estimator is proposed. The scheme guarantees the interference temperature of the PUs through operating in the network-centric manner, and keeps the fairness between the SUs through link gain pricing. Furthermore, the $H_{\infty}$ filter is also used in the proposed scheme to estimate the channel variation, and thus the power control scheme is robust to the severe channel fading. Plenty of simulations are taken, and prove its superior robust performance against the channel fading, and its effectiveness in guaranteeing the interference temperature limit of the PUs.