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

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A Design of Model Following Optimal Multivariable BOiler-Turbine H_\infty Control System using Genetic Algorithm (유전 알고리즘을 이용한 모델 추종형 최적 다변수 보일러-터빈 H_\infty제어 시스템의 세계)

  • Hwang, Hyeon-Jun;Kim, Dong-Wan;Park, Jun-Ho;Hwang, Chang-Seon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.2
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    • pp.127-135
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    • 1999
  • Multivarialbe Boiler-Turbine H_\infty Control System Genetic Algorithm Weighting Functions $W_1$(s), $W_2$(s), and design parameter $\gamma$ that are given by Glover-Doyle algorithm, to optimally follow the output of reference model. The first method to do this is that the gains of weighting functions $W_1$(s), $W_2$(s), and design parameter are optimized simultaneously by genetic algorithm with the tournament method that can search more diversely, in the search domain which guarantees the robust stability of system. And the second method is that not only by genetic algorithm with the roulette-wheel method that can search more fast, in that search domain. The boiler-turbine H_\infty control system designed by theabove second method has not only the robust stability to a modeling error but also the the better command tracking preformance than those of the H_\infty control system designed by trial-and-error method and the above first method. Also, this boiler-turbine H_\infty control system has the better performance than that of the LQG/LTR contro lsystem. The effectiveness of this boiler-turbineH_\infty control system is verified by computer simulation.

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A Linear Matrix Inequality Optima Control for the Tracking of an Autonomous Gliding Vehicle (자동 미끄럼 이동 로봇의 경로 추종을 위한 LMI 최적 제어 기법)

  • 이진우
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.335-335
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    • 2000
  • Applications such as unmanned aerial vehicles (UAVs), autonomous underwater vehicles (AUVs) and the time varying nature of their navigation, guidance and control systems motivate an integrated approach to trajectory general ion and trajectory tracking for autonomous vehicles. In this paper, an experimental testbed was designed for studying this integrated trajectory control approach. In this paper we apply the separating approach to an autonomous nonlinear vehicle system. A new linear matrix inequality based H$_{\infty}$ control technique for periodic time-varying systems is applied to the role of trajectory tracking. Trajectory general ion is accomplished by exploit ing the differential flatness property of the vehicle system; this at lows product ion of desired feasible nominal or reference trajectories from certain ″flat'system outputs. Simulation and experimental results are presented showing stable tracking of a periodic circular trajectory.

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Optimal tuning and Disturbance Rejection on PID controller loop for motor control using Immune Algorithm (면역알고리즘을 이용한 전동기 제어용 PID 제어기루프의 외란제거 및 최적화 튜닝)

  • Kim, Dong-Hwa;Cho, Jea-Hoon
    • Proceedings of the KIPE Conference
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    • 2003.11a
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    • pp.137-140
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    • 2003
  • 본 논문에서는 PID제어기를 이용해 외란이 존재하는 2차시스템 특성을 갖는 전동기를 제어하는 경우 외란제거와 최적제어가 동시에 될 수 있는 PIB파라메터를 면역알고리즘을 통해 구하였다. 외란제거를 위해 $H{\infty}-norm$을 응용하여 제어시스템의 외란제거 조건들을 제시하고 이 조건들을 만족하는 전동기 제어용 PID제어기를 설계하였다. 설계된 PID제어기의 최적 파라메터를 구하기 위해 면역 알고리즘을 적용하였고 최적 파라메터를 평가하기 위하여 ITSE(Integral of time weighted squared error)성능지수를 이용하여 만족할 만한 결과를 얻었다.

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Optimal Design of a Continuous Time Deadbeat Controller (연속시간 유한정정제어기의 최적설계)

  • Kim Seung Youal;Lee Keum Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.1 no.2
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    • pp.169-176
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    • 2000
  • Deadbeat property is well established in digital control system design in time domain. But in continuous time system, deadbeat is impossible because of it's ripples between sampling points inspite of designs using the related digital control system design theory. But several researchers suggested delay elements. A delay element is made from the concept of finite Laplace Transform. From some specifications such as internal model stability, physical realizations as well as finite time settling, unknown coefficents and poles in error transfer functions with delay elements can be calulted so as to satisfy these specifications. For the application to the real system, robustness property can be added. In this paper, error transfer function is specified with 1 delay element and robustness condition is considered additionally. As the criterion of the robustness, a weighted sensitive function's $H_{infty}$ norm is used. For the minimum value of the criterion, error transfer function's poles are calculated optimally. In this sense, optimal design of the continuous time deadbeat controller is obtained.

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Simultaneous Optimal Design of Control-Structure Systems for 2-D Truss Structure (2차원 트러스 구조물에 대한 제어/구조 시스템의 동시최적설계)

  • Park, Jung-Hyen;Kim, Soon-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.10
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    • pp.812-818
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    • 2001
  • This paper proposes an optimum design method of structural and control systems, taking a 2-D truss structure as an example. The structure is supposed to be subjected to initial static loads and disturbances. For the structure, a FEM model is formed, and using modal transformation, the equation of motion is transformed into that of modal coordinates in order to reduce the D.O.F. of the FEM model. The structure is controlled by an output feedback $H^$\infty$$ controller to suppress the effect of the disturbances. The design variables of the simultaneous optimal design of control-structure systems are the cross sectional areas of truss members. The structural objective function is the structural weight. The control objective function is the $H^$\infty$$ norm, that is, the performance index of control. The second structural objective function is the energy of the response related to the initial state, which is derived from the time integration of the quadratic form of the state in the closed-loop system. In a numerical example, simulations have been carried out. Through the consideration of structural weight and $H^$\infty$$ norm, an advantage of the simultaneous optimum design of structural and control systems is shown. Moreover, while the optimized performance index of control is almost kept, we can acquire better design of structural strength.

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Structure-Control Combined Design for 3-D Flexible Structure (3차원 유연구조물에 대한 구조-제어 통합설계)

  • Park Jung-Hyen
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.10
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    • pp.109-114
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    • 2004
  • A combined optimal design problem of structural and control systems is discussed by taking a 3-D flexible structure as an object. We consider a minimum weight design problem for structural system and disturbance suppression problem for the control system. The conditions for the existence of controller are expressed in terms of linear matrix inequalities (LMI). By minimizing the linear sum of the normalized structural objective function and control objective function, it is possible to make optimal design by which the balance of the structural weight and the control performance is taken. We showed in this paper the validity of combined optimal design of structural and control systems.

Swing Motion Control System Design Based on Frequency-shaped LQ Control (주파수 의존형 최적 레귤이터에 의한 크레인 흔들림 제어계 설계)

  • Kim, Y.B.;Jang, J.S.
    • Journal of Power System Engineering
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    • v.12 no.6
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    • pp.50-55
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    • 2008
  • In general, the swing motion of the crane is controlled and suppressed by activating the trolley motion. In many papers reported by us, we suggested a new type of anti-sway control system of the crane. In the proposed control system, a small auxiliary mass(moving-mass) is installed on the spreader and the swing motion is controlled by moving the auxiliary mass. The actuator reaction against the auxiliary mass applies inertial control forces to the container in order to reduce the swing motion in the desired manner. Futhermore the measuring systems based on image sensor have been proposed also. To obtain the robustness for our control system, $H_{\infty}$ based control techniques and other approach have been applied to suppress swing motion. As well known, the robust control technologies based on $H_{\infty}$ control need complicated and difficult process. In the result, the obtained closed-loop system becomes to high order system which may give us many difficulties to apply it to the real plants. Therefore, we introduce an easy approach which is based on LQ control theory. In this approach, we introduce the frequency dependent weighting matrices which give the system filters to shape frequency characteristics of the controlled system and guarantee the control performance.

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Modeling and adaptive optimal control of a twin roll strip caster (쌍롤형 박판주조기의 모델링과 적응최적제어)

  • 김성훈;홍금식;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.325-328
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    • 1997
  • In this paper the modeling and control of a twin roll strip caster is investigated. Mathematical models for the strip casting process are obtained by analyzing five critical areas such that the molten steel level in the pool, solidification process, roll separating force and torque, roll dynamics including hydraulic actuators, and roll drive system. A two-level control strategy is proposed. At lower level, three local subsystems are independently feedback-controlled by suitable local controllers which perform well to the behaviors of each subsystem. They are a variable structure control of the molten steel level in the pool, an adaptive predictive control of the roll gap which is directly related to the strip thickness, and an $H^{\infty}$ control of the roll drive system. At higher level, all reference signals to the lower level subsystems are generated by an optimal controller in the perspective of regulating the strip thickness and roll separating force. Simulations are provided..

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$\mu$optimal controller design using equivalent weighting function (동등하중함수를 이용한 $\mu$-최적제어기 설계)

  • 방경호;이연정;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.65-71
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    • 1997
  • In this paper, we propose a new .mu.-controller design method using an equivalent weighting function $W_{\mu}$(s). The proposed mehtod is not guaranteed to converge to the minimum as D-K and .mu.-K iteration method. However, the robust performance problem can be converted into an equivalent $H^{\infty}$ optimization problem of unstructured uncertainty by using an equivalent weightng function $W_{\mu}$(s). Also we can find a .mu.-optimal controller iteratively using an error index $d_{\epsilon}$ of differnce between maximum singular value and .mu.-norm. And under the condition of the same order of scaling functions, the proposed method provides the .mu.-optimal controller with the degree less than that obtained by D-K iteration..

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The Optimization of Expression System for Recombinant Protein Production by Pichia pastoris and Hansenula polymorphs (유전자 재조합 단백질 생산에 있어서 Pichia pastoris와 Hansenula polymorpha를 이용한 최적 발현 방법 개발)

  • 강환구;전희진;김재호
    • KSBB Journal
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    • v.15 no.2
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    • pp.174-180
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    • 2000
  • Pichia pastoris and Hansenula polymorpha, the methylotrophic yeasts have been widely used as a host for the production of e eudaryotic proteins due to the advantages related to their inherited characters. This paper describes the method to enhance t the productivity of recombinant proteins by P. pastoris and H. po$\psi$morpha. In the production of recombinant proteins using a f fed batch fermentation system, the effects of specific growth rate on the specific expression rate of re$\infty$mbinant proteins w were studied. In both species, the expression system of recombinant proteins using the fed batch fermentation was optimezed.

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