• 제목/요약/키워드: Optimal control problems

검색결과 571건 처리시간 0.026초

신경회로망과 유전알고리즘에 기초한 이동로봇의 제어 이득 최적화 (Control Gain Optimization for Mobile Robots Using Neural Networks and Genetic Algorithms)

  • 최영규;박진현
    • 한국정보통신학회논문지
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    • 제20권4호
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    • pp.698-706
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    • 2016
  • 이동로봇을 원하는 위치로 최단시간 안에 이동시키기 위해 최적제어문제를 풀어야 하지만 비선형시스템이므로 해석적 접근이 매우 어렵다. 본 논문에서 유전알고리즘을 사용하여 이동로봇의 최적제어이득을 구한다. 로봇 방정식이 비선형식이므로 초기치에 따라 최적제어이득은 다르게 결정된다. 따라서 초기치 범위를 적절한 개수의 격자점으로 이산화시킨 뒤 해당 격자점에서 유전알고리즘으로 최적제어이득을 구한다. 일반적인 초기치에 대한 제어이득은 신경회로망으로 구하며 해당 격자점의 초기치와 그에 대한 최적제어이득을 신경회로망 학습데이터로 사용하고 학습시킨다. 이산화된 격자점이 아닌 다른 초기치에 대한 제어이득은 신경회로망으로부터 구한다. 마지막으로 본 논문의 제어방법의 유용성을 시뮬레이션 연구로 확인하고자 한다.

Optimal Design of a Smart Actuator by using of GA for the Control of a Flexible Structure Experiencing White Noise Disturbance

  • Han, Jungyoup;Heo, Hoon
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 춘계학술대회논문집; 부산수산대학교, 10 May 1996
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    • pp.125-129
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    • 1996
  • This paper deals with the problem of placement/sizing of distributed piezo actuators to achieve the control objective of vibration suppression. Using the mean square response as a performance index in optimization, we obtain optimal placement and sizing of the actuator. The use of genetic algorithms as a technique for solving optimization problems of placement and sizing is explored. Genetic algorithms are also used for the control strategy. The analysis of the system and response moment equations are carried out by using the Fokker-Planck equation. This paper presents the design and analysis of an active controller and optimal placement/sizing of distributed piezo actuators based on genetic algorithms for a flexible structure under random disturbance, shows numerical example and the result.

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유전 알고리즘에 의한 브러시리스 DC모터의 속도 제어용 혼합 $H_2/H_{\infty}$ PID제어기 설계 (Design of a Mixed $H_2/H_{\infty}$ PID Controller for Speed Control of Brushless DC Motor by Genetic Algorithm)

  • ;;김학경;김상봉
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2006년도 전기학술대회논문집
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    • pp.77-78
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    • 2006
  • A mixed method between $H_2\;and\;H_{\infty}$ control are widely applied to systems which has parameter perturbation and uncertain model to obtain an optimal robust controller. Brushless Direct Current (BLDC) motors are widely used for high performance control applications. Conventional PID controller only provides satisfactory performance for set-point regulation. However, with the presence of nonlinearities, uncertainties and perturbations in the system, conventional PID is not sufficient to achieve an optimal robust controller. This paper presents an approach to ease designing a Mixed $H_2/H_{\infty}$ PID controller for controlling speed of Brushless DC motors and the genetic algorithm is used to solve the optimized problems. Numerical results are shown to prove that the performance in the proposed controller is better than that in the optimal PID controller using LQR approach.

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최적 극배치 기법을 이용한 2관성 공진계의 2자유도 속도제어 (Two-Degree-of-Freedom Speed Control of Two-Mass System using Optimal Pole Assignment Method)

  • 전돈수;김동화
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권1호
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    • pp.18-25
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    • 2000
  • In the two-mass servo system driving a load through a flexible shaft, a shaft torsional vibration is often generated. PI controller has been generally used is speed control of such system because of the simplicity of structure and related theory. This paper presents the inertia ratio of the PI servo control system which can be designed by using optimal pole assignment method is fixed. Therefore, it's difficult to obtain the desired control characteristics for different systems only by PI control algorithm. To solve this problems the two-mass speed control system with PID controller is designed by using pole assignment method and an optimum PID parameters are derived by evaluating ITAE(Integral of time multiplied by the absolute error) performance index. But this design method has some problems due to a trade-off between the fast command following property and the attenuation of disturbances and vibrations. In this paper, 2-DOF PID control method which satisfies the command following property, the reduction of overshoot and the property of disturbance rejection at the same time is proposed. This is a practical speed controller using the desired value filter and the feedforward gain. From several simulations, it's clarified that the proposed 2-DOF PID controller is useful for the two-mass system, in comparison with the conventional PID controller.

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A Study on the Convergency Property of the Auxiliary Problem Principle

  • Kim, Balho-H.
    • Journal of Electrical Engineering and Technology
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    • 제1권4호
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    • pp.455-460
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    • 2006
  • This paper presents the convergency property of the Auxiliary Problem Principle when it is applied to large-scale Optimal Power Flow problems with Distributed or Parallel computation features. The key features and factors affecting the convergence ratio and solution stability of APP are also analyzed.

비연속 코스트를 갖는 최적 제어 문제의 필요충분조건 (Necessary and sufficient conditions for an optimal control problem involving discontinuous cost integrand)

  • 변증남
    • 전기의세계
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    • 제28권6호
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    • pp.47-51
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    • 1979
  • An optimal problem in which the dynamics is nonlinear and the cost functional includes a discontinuous integrand is investigated. By using Neustadt's abstract maximum principle, a necessary conditions in the form of Pontryagin's maximum principle is derived and it is further shown that this necessary condition is also a sufficient condition for normal problems with linear-in-the-state systems.

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A Case study of an optimal design with structured sampling and simulation

  • Park, Hongjoon;Youngcook Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.46.4-46
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    • 2002
  • This study was motivated how it might be possible to validate structured sampling with orthogonal array for optimal design of a pin. The Taguchi method by orthogonal array, one of the structured sampling methods, has much advantage that is row cost and time saving for experiments. But this method has been applied in limited areas especially for mechanical problems. In this study, we experimented whether the structured sampling is useful for applying optimal design of mechanical elements. For the experiment, we first set up a mechanical problem which was related to determining optimal parameters associated a pin's crack occurred inside a hole. We, then, calculated combination of...

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경사법에의한 최적제어 (Optimal Control by the Gradient Method)

  • 양흥석;황희융
    • 전기의세계
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    • 제21권3호
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    • pp.48-52
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    • 1972
  • The application of pontryagin's Maximum Principle to the optimal control eventually leads to the problem of solving the two point boundary value problem. Most of problems have been related to their own special factors, therfore it is very hard to recommend the best method of deriving their optimal solution among various methods, such as iterative Runge Kutta, analog computer, gradient method, finite difference and successive approximation by piece-wise linearization. The gradient method has been applied to the optimal control of two point boundary value problem in the power systems. The most important thing is to set up some objective function of which the initial value is the function of terminal point. The next procedure is to find out any global minimum value from the objective function which is approaching the zero by means of gradient projection. The algorithm required for this approach in the relevant differential equations by use of the Runge Kutta Method for the computation has been established. The usefulness of this approach is also verified by solving some examples in the paper.

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ANALYSIS OF VELOCITY-FLUX FIRST-ORDER SYSTEM LEAST-SQUARES PRINCIPLES FOR THE OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES EQUATIONS

  • Choi, Young-Mi;Lee, Hyung-Chun
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제14권2호
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    • pp.125-140
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    • 2010
  • This paper develops a least-squares approach to the solution of the optimal control problem for the Navier-Stokes equations. We recast the optimality system as a first-order system by introducing velocity-flux variables and associated curl and trace equations. We show that a least-squares principle based on $L^2$ norms applied to this system yields optimal discretization error estimates in the $H^1$ norm in each variable.

Advanced controller design for AUV based on adaptive dynamic programming

  • Chen, Tim;Khurram, Safiullahand;Zoungrana, Joelli;Pandey, Lallit;Chen, J.C.Y.
    • Advances in Computational Design
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    • 제5권3호
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    • pp.233-260
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    • 2020
  • The main purpose to introduce model based controller in proposed control technique is to provide better and fast learning of the floating dynamics by means of fuzzy logic controller and also cancelling effect of nonlinear terms of the system. An iterative adaptive dynamic programming algorithm is proposed to deal with the optimal trajectory-tracking control problems for autonomous underwater vehicle (AUV). The optimal tracking control problem is converted into an optimal regulation problem by system transformation. Then the optimal regulation problem is solved by the policy iteration adaptive dynamic programming algorithm. Finally, simulation example is given to show the performance of the iterative adaptive dynamic programming algorithm.