• Title/Summary/Keyword: Optimal control methods

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ANALYSIS AND COMPUTATIONS OF OPTIMAL AND FEEDBACK CONTROL PROBLEMS FOR NAVIER-STOKES EQUATIONS

  • Lee, Hyung-Chun
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.841-857
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    • 1997
  • We present analysis and some computational methods for boundary optimal and feedback control problems for Navier-Stokes equations. We use one example to illustrate our methodology and ideas which are applicable to general control problems for Navier-Stokes equations. First, we discuss the existence of optimal solutions and derive an optimality system of equations from which an optimal solution may be computed. Then we present a gradient type iterative method. Finally, we present some numerical results.

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A Note on the Time Optimal Control of Dynamic Systems with Time Delay (시간지연 시스템의 최단시간제어에 대한 연구)

  • 김병국;변증남
    • 전기의세계
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    • v.28 no.3
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    • pp.37-50
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    • 1979
  • The time optimal control of dynamic systems with time delay is studied with emphasis on the practical realization of controllers. An extensive survey on various methods of control is included and a result for a time optimal regulator with signle delay in control is presented and simulated on a digital computer.

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TMOV MPPT Control of PV System with Temperature Measurement based Optimal Voltage (온도측정 기반의 최적전압을 이용한 PV 시스템의 TMOV MPPT 제어)

  • Ko, Jae-Sub;Chung, Dong-Hwa
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.11
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    • pp.30-39
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    • 2012
  • The characteristics of I-V and P-V of solar cell nonlinearly changes according to irradiation, temperature and load. Therefore, to use efficiently PV system, operating point must be always operating at maximum power point. Also, PV system is semiconductor, so it generates loss by temperature. But because of conventional MPPT methods are not considering temperature, it has problem which decrease efficiency. This paper proposes temperature measurement based optimal voltage(TMOV) MPPT algorithm using temperature measurement based optimal voltage. It analyzes characteristics of solar cell according to irradiation and temperature and conventional MPPT methods. The TMOV control algorithm proposed in this paper is compared and analyzed conventional MPPT methods. The validity of this paper proves using this result.

Optimal Active-Control & Development of Optimization Algorithm for Reduction of Drag in Flow Problems(2) - Verification of Developed Methodologies and Optimal Active-Control of Flow for Drag Reduction (드래그 감소를 위한 유체의 최적 엑티브 제어 및 최적화 알고리즘의 개발(2) - 개발된 기법의 검증 및 드래그 감소를 위한 유체의 최적 액티브 제어)

  • Bark, Jai-Hyeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.671-680
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    • 2007
  • The objective of this work is to reduce drag on a bluff body within a viscous flow by applying suction or injection of fluid along the surface of the body. In addition to minimizing drag, the optimal solution tends to reduce boundary layer separation and flow recirculation. When discretized by finite elements, the optimal control problem can be posed as a large-scale nonlinearly-constrained optimization problem. The constraints correspond to the discretized form of the Navier-Stokes equations. Unfortunately, solving such large-scale problems directly is essentially intractable. We developed several Sequential Quadratic Programming methods that are tailored to the structure of the control problem. Example problems of laminar flow around an infinite cylinder in two dimensions are solved to demonstrate the methodology. We use these optimal control techniques to study the influence of number of suction/injection holes and location of holes on the resulting optimized flow. We compare the proposed SQP methods against one another, as well as against available methods from the literature, from the point of view of efficiency and robustness. The most efficient of the proposed methods is two orders of magnitude faster than existing methods.

The Combined Classical/Modern Technique for Optimal Fesign of Robust Motion Controller (강인한 운동제어기의 최적 설계를 위한 고전적 기법과 현대적 기법의 결합)

  • 김삼수
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.485-492
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    • 1990
  • This paper propose a optimal design method for robust notion controllers of under-water vehicles using the combined technique between classical and modern theories. The proposed method is presented which utilizes classical control methods to obtain a good robustness and modern control methods to set optimal gains. LQ, SVD, multivariable frequency analysis and Bode-Root Locus (BRL) plot are used.

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A POSTERIORI L(L2)-ERROR ESTIMATES OF SEMIDISCRETE MIXED FINITE ELEMENT METHODS FOR HYPERBOLIC OPTIMAL CONTROL PROBLEMS

  • Hou, Tianliang
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.321-341
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    • 2013
  • In this paper, we discuss the a posteriori error estimates of the semidiscrete mixed finite element methods for quadratic optimal control problems governed by linear hyperbolic equations. The state and the co-state are discretized by the order $k$ Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise polynomials of order $k(k{\geq}0)$. Using mixed elliptic reconstruction method, a posterior $L^{\infty}(L^2)$-error estimates for both the state and the control approximation are derived. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive mixed finite element approximation schemes for the control problem.

A on-line learning algorithm for recurrent neural networks using variational method (변분법을 이용한 재귀신경망의 온라인 학습)

  • Oh, Oh, Won-Geun;Suh, Suh, Byung-Suhl
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.1
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    • pp.21-25
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    • 1996
  • In this paper we suggest a general purpose RNN training algorithm which is derived on the optimal control concepts and variational methods. First, learning is regared as an optimal control problem, then using the variational methods we obtain optimal weights which are given by a two-point boundary-value problem. Finally, the modified gradient descent algorithm is applied to RNN for on-line training. This algorithm is intended to be used on learning complex dynamic mappings between time varing I/O data. It is useful for nonlinear control, identification, and signal processing application of RNN because its storage requirement is not high and on-line learning is possible. Simulation results for a nonlinear plant identification are illustrated.

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Performance Tuning Method of Inverse Optimal PID Control for Mechanical Systems

  • Choi, Young-Jin;Chung, Wan-Kyun;Youm, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.62.1-62
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    • 2001
  • This paper suggests an inverse optimal PID control design method for the trajectory tracking case of mechanical systems. Also, simple coarse/fine performance tuning laws are suggested based on the analysis for performance limitation of inverse optimal PID controller. Experimental results for a robot manipulator show the validity of our analysis for the performance tuning methods.

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Fundamental Study for Automation of Container Cranes (콘테이너 크레인의 자동화에 관한 기초연구)

  • 신민생;이동철;김상봉
    • Journal of Advanced Marine Engineering and Technology
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    • v.18 no.2
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    • pp.83-90
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    • 1994
  • The container crane is still operated by skillfull human operators. So an automatic crane operation system is strongly required. In this paper, the digital control method is applied to position an anti-swing control for container crane. Two methods of digital optimal regulator control and digital redesign control are used for experiment. From these experimental results, it is respected that both methods can be applied effectively to an actual container crane operation.

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Optimal Control of An Oscillating Body Using Finite Element Methods (유한요소법을 이용한 진동물체의 최적 제어에 관한 연구)

  • Park, Sung-Jin
    • Journal of Urban Science
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    • v.7 no.1
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    • pp.55-61
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    • 2018
  • Long bridges, such as suspension bridges and diagonal bridges, are complex phenomena that show different behaviors depending on the shape and rigidity of the cross sections, such as wind vibrations and liquid vibrations from earthquakes in liquid storage containers. This is called the lower skirt on the lower side of the bridge, and the installation of lower skirt is effective for release and vortex vibrations caused by rapid winds, and that increases the stability of the wind resistance of the bridge. Optimal shape and installation of the lower skirt is also essential to make maximum wind speed effect of the lower skirt. Therefore, this study proposes a numerical analysis method to control the vibration of a bridge by calculating the optimal installation angle of an optimal lower skirt according to the optimal control theory and this study evaluates the impact on the optimal control system by minimizing the dominance equation with an evaluation function,which is an indicator for evaluating the optimal control theory state.