• Title/Summary/Keyword: H$_2$ controller

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Robust $H^{2}$ Controller Design of RTP Systems (RTP 시스템의 견실$H^{2}$제어기 설계)

  • 이상경;김종해박홍배
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.409-412
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    • 1998
  • In this paper, we present an $H^2$ controller design of RTP(rapid thermal processing) systems satisfying robust stability and performance using weighted mixed sensitivity minimization. In industrial fields, RTP system is widely used for improving the oxidation and the annealing in semiconductor manufacturing process. The main control factors are temperature control of wafer and uniformity has been solved by PID control method. Because the reference inputs of RTP are ramp, we improve performance of RTP system by the design of $H^2controller$ using the weighted mixed sensitivity function. Also we compare $H^2controller$ with PID controller in terms of performance. An example is proposed to show the validity of proposed method.

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Digital Rebalance Loop Design for a Dynamically Tuned Gyroscope using Frequency Weighted H$_2$ Controller (주파수 가중 H$_2$ 제어기를 이용한 동조자이로스코프의 디지털 재평형루프 설계)

  • 송진우;이장규;강태삼
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.9
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    • pp.1131-1139
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    • 1999
  • In this paper, we present a wide-bandwidth digital rebalance loop for a dynamically tuned gyroscope(DTG) based on {{{{ { H}_{2 } }}}} methodology. The operational principle and the importance of a rebalance loop are explaind, first. The augmented plant model is constructed, which includes a gyroscope model and an integrator. An {{{{ { H}_{ 2} }}}} based controller is designed for the augmented plant model. To verify the performance of the controller, a digital rebalance loop for a DTG is designed, fabricated and experimented. Through frequency response analyses and experiments using a real DTG, it is confirmed that the controller is more robustly stable and has a wider bandwidth compared with those of a conventional PID controller, contributing to the performance improvement of a DTG.

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Optimal $H_{2}$ design of the one-degree-of-freedom decoupling controllers

  • Park, Ki-Heon
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2093-2098
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    • 2005
  • In this paper, $H_{2}$ designs for the one-degree-of-freedom decoupling control systems are treated for the generalized plant. The optimal $H_{2}$ controller is obtained together with the ones that yield finite $H_{2}$ cost functions under compact assumptions. It is shown that the optimal closed transfer matrix is strictly proper under the reasonable order assumptions on the generalized plant.

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Nonlinear Feedback Linearization-H\ulcorner/Sliding Mode Controller Design for Improving Transient Stability in a Power System

  • Lee, Sang-Seung;Park, Jong-Keun
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.193-201
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    • 1998
  • In this paper, the standard Dole, Glover, Khargoneker, and Francis (abbr. : DGKF 1989) H\ulcorner controller (H\ulcornerC) is extended to the nonlinear feedback linearization-H\ulcorner/sliding mode controller (NFL-H\ulcorner/SMC), to tackle the problem of the unmeasurable state variables as in the conventional SMC, to obtain smooth control as the linearized controller in a linear system, and to improve the time-domain performance under a worst scenario. The proposed controller is obtained by combining the H\ulcorner estimator with the nonlinear feedback linearization-sliding mode controller (NFL-SMC) and it does not need to measure all the state variables as in the traditional SMC. The proposed controller is applied as a nonlinear power system stabilizer (PSS) for the improvement of the power system damping characteristics of an single machine infinite bus system (SMIBS) connected through a double circuit line. The effectiveness of the proposed controller is verified by nonlinear time-domain simulation in case of a 3-cycle line-to-ground fault and in case of the parameter variations for the AVR gain K\ulcorner and for the inertia moment M.

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A Robust $H^{\infty}$ Controller for Active Suspensions Based on a Full-Car Model (차량의 능동형 현가장치를 위한 강인한 $H^{\infty}$ 제어기 설계)

  • Park, Jong-Hyeon;Kim, Young-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.2
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    • pp.146-154
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    • 2000
  • An $H\infty$ controller is designed for active suspensions of vehicles using 7-degree-of-freedom full-car model. Its performance robustness as well as stability robustness to system parameter variations and unmodelled dynamics are assured through the $\mu$-framework. The performance of the $H\infty$ controller is compared with that of a LQC controller in compute simulations. From the simulations it is found that the active suspension with the $H\infty$ controller reduces the acceleration and motion of the sprung mass in the heaving rolling and pitching directions when the car is driven on a normal road or through an asymmetric bump. The suspension stroke and the road holding capability are also improved with a relatively small level of power consumption. Overall the $H\infty$ controller shows a more robust performance than that of the LQG design.

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Robust Controller Design for Hydraulic Dipod Platform Based on 2-DOF H Controller Synthesis Framework (2자유도 H 제어기 종합 프레임웍에 기반한 유압식 Dipod 플랫폼의 강인제어기 설계)

  • Lee, Young-Hoon;Cho, Taik-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.6
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    • pp.805-814
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    • 2013
  • A hydraulic dipod platform is used for tracking and stabilizing an antenna system to designate a satellite on a moving vehicle. The 2-DOF controller is very well suited to this controller design object because it is more flexible than the 1-DOF controller when the design object is not only the consideration between stabilizing and tracking but also the trade-off between performance and robustness. The 2-DOF controller synthesis based on the $H_{\infty}$ framework is divided into two design procedures. In this hydraulic dipod platform example, the single-step method shows better performance whereas the two-step method shows better robustness. The difference between these two synthesis results is compared using the structural property of the interconnection system matrix.

The design of the SD H$_{\infty}$ controller with PID performance (PID 성능을 갖는 SD H$_{\infty}$ 제어기 설계)

  • 조도현;원영진;이종용
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.37 no.5
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    • pp.103-110
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    • 2000
  • In This paper, we propose a design procedure for a SD $H_{\infty}$controller with PID performance. In developing the procedure, we use the basic idea of standard$H_{\infty}$problem, and then applied it to the SD system, which consists of the continuous plant and the discrete controller. This $H_{\infty}$controller design procedure involves the selections of weighting functions. The selections considered the relation of the closed loop specification between the $H_{\infty}$controller and PID. We illustrate this procedure in the controller design for a two-mass spring system.

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$H_{\infty}$ Self-Tuning Control of a Flexible Link Robot with Unknown Payload (미지 부하 질량을 갖는 유연 링크 로봇의 $H_{\infty}$ 자기 동조 제어)

  • Han, Ki-Bong;Lee, Shi-Bok
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.160-168
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    • 1997
  • A $H_{\infty}$self-tuning control scheme for the tip position of a flexible link robot handling unknown loads is presented here. The scheme essentially comprises a recursive least-squares identification algorithm and $H_{\infty}$self-tunning controller. The $H_{\infty}$control low is designed to be robust to uncertain parameters and the self-tunning action provides adaption to unknown parameters. Through numerical study, the performance comparison of the $H_{\infty}$self-tuning controller with a constant gain $H_{\infty}$controller as well as a LQG self-tuning controller clearly shows its superior ability in handling load changes in quiescent states.nt states.

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H$\infty$ controller design for input-saturated linear systems

  • Choi, Ki-Hoon;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.2-75
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    • 2001
  • In this paper, we provide the technique of H$\infty$ controller design algorithm for input-saturated linear systems using a linear parameter varying(LPV) framework. The LPV controller with parameter dependent dynamic state feedback controller concept guarantees the asymtotic stability and H$\infty$ norm bound within prescribed level v using the saturation nonlinearity as scheduling parameters. Especially, the sufficient conditions for the existence of H$\infty$ controller are formulated in terms of linear matrix inequalities(LMIs) that can be solved very efficiently.

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Two-degree-of freedom $H_{\infty}$ control of a seeker scan loop using normalized coprime factorization (정규화 소인수분해를 이용한 탐색기 주사루프의 2자유도 $H_{\infty}$ 제어)

  • Lee, H.P.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.11
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    • pp.102-109
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    • 1997
  • A two-degree-of freedom (TDF) $H_{\infty}$controller for a seeker scan loop is presented for the purpose of improving scanning performances. The perturbed plant model is characterized via the normalized coprime factorization. The TDF $H_{\infty}$controller is designed based on the loop shaping design procedure and model matching approach, and its performances are evaluated and compared with those of a previous work. It is demonstrated that the proposed TDF $H_{\infty}$controller is more effective to the control of the seeker scan loop than the previous controller.oller.

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