• 제목/요약/키워드: 최적제어문제

검색결과 419건 처리시간 0.03초

The optimal control for a nonlinear system using the feedback linearization (피드백 선형화를 이용한 비선형 시스템에 대한 최적 제어)

  • Lee, Jong-Yong;Lee, Won-Seok
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • 제42권3호
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    • pp.25-30
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    • 2005
  • Nonlinear optimal control problems lead to Hamilton-Tacobi equations which are not analytically solvable for most practical problems. This difficulty has led to the development of suboptimal nonlinear design techniques such as controller design based on feedback linearization(FL). In this paper, we present some simple examples where the optimal answer can be found for the optimal controller, FL controller and linear controller and determine its relative performance. As a result, we get the condition of a nonlinear system for the FL controller to an optimal design.

Analysis of Helicopter Maneuvering Flight Using the Indirect Method - Part I. Optimal Control Formulation and Numerical Methods (Indirect Method를 이용한 헬리콥터 기동비행 해석 - Part I. 최적제어 문제의 정식화와 수치해법)

  • Kim, Chang-Joo;Yang, Chang-Deok;Kim, Seung-Ho;Hwang, Chang-Jeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • 제36권1호
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    • pp.22-30
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    • 2008
  • This paper deals with the nonlinear optimal control approach to helicopter maneuver problems using the indirect method. We apply a penalty function to the deviation from a prescribed trajectory to convert the system optimality to an unconstrained optimal control problem. The resultant two-point boundary value problem has been solved by using the multiple-shooting method. This paper focuses on the effect of the number of shooting nodes and initialization methods on the numerical solution in order to define the minimum number of shooting nodes required for numerical convergence and to provide a method increasing convergence radius of the indirect method. The results of this study can provide an approach to improve numerical stability and convergence of the indirect method when we solve the optimal control problems of an inherently unstable helicopter system.

Optimal Design of a Linear Structural Control System Considering Loading Uncertainties (하중의 불확실성을 고려한 선형구조제어 시스템의 최적설계)

  • Park, Won-Suk;Park, Kwan-Soon
    • Journal of the Earthquake Engineering Society of Korea
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    • 제15권2호
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    • pp.1-9
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    • 2011
  • An optimal design method for a structural control system considering load variations due to their uncertain characteristics is studied in this paper. The conventional design problem for a control system generally deals with the optimization problem of a structural control system and interaction between the structure and the control device. This study deals with the optimization problem of a load-structure-control system and the more complicated interactions with each other. The problem of finding the load that maximizes the structural responses and the structural control system that minimizes the responses simultaneously is formulated as the min-max problem. In order to effectively obtain the optimal design variables, a co-evolutionary algorithm is adopted and, as a result, an optimal design procedure for the linear structural control system with uncertain dynamic characteristics is proposed. The example design and simulated results of an earthquake excited structure validates the proposed method.

추력기를 이용한 우주비행체 자세제어설계

  • Sun, Byung-Chan;Park, Yong-Kyu
    • Aerospace Engineering and Technology
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    • 제4권1호
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    • pp.186-195
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    • 2005
  • This paper deals with attitude control design for a thruster system which is mainly used as a control system of space vehicles. Attitude controllers are designed based on a simple blowing-down thruster system structure. In order to consider severe time-delay effects of the thruster system during controller design, the control design problem is defined based on the corresponding limit cycle analysis. Optimal roll controllers and optimal pitch/yaw controllers are resulted from co-evolutionary optimum design processes for each flight phase. The control performances are verified by computer simulations.

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Speed Control for BLDC Motors Using a Two-Degree-of-Freedom Optimal Control Technique (2자유도 적분형 최적제어법을 이용한 BLDC 모터의 속도제어)

  • 권혁진;정석권
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • 제36권3호
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    • pp.257-265
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    • 2000
  • Brushless DC(BLDC) motors are widely used as AC servo motors in factory automation fields because of their quick instantaneous mobility, good energy saving efficiency and easiness of design for control system comparing with induction motors. Recently, a Two-Degree-of-Freedom(2DOF) PI control law has been adopted to some application parts to accomplish an advanced speed control of BLDC motors. The method can treat the two conflicting performances, minimum tracking errors versus reference inputs without large overshoot and rejection of some disturbances including modeling errors, independently. However, the method can not design the optimal system which is able to minimize tracking errors and energy consumption simultaneously. In this paper, a 2DOF integral type optimal servo control method is investigated to promote the speed control performances of BLDC motors considering energy consumption. In order to applicate the method to the speed servo system of the BLDC motor, the motor is modeled in the state space using the vector control and decoupling technique. To verify the validity of the suggested method, some simulations and experiments are performed.

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(J,J')-lossless factorization and $H^{\infty}$ control in discrete-time systems (이산시간 시스템에서 (J,J')-lossless 분해와 $H^{\infty}$ 제어)

  • 정은태;이재명;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • 제31B권5호
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    • pp.65-72
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    • 1994
  • We resolve the suboptimal $\infty$ control problem using (J,J')-lossless coprime factorization by transforming the linear fractional transformation (LFT) into chain scattering description (CSD) in discrete-time systems. The condition transformed LFT into CSD is that the inverse matrix of $P_{21}$ of standard plant exists. But, this paper presents the method of transforming LFT into CSD for 4-block problem in case that the inverse matrix of $P_{21}$ of standard plant does not exist and parameterization of the all suboptimal $\infty$T controllers using (J,J')-lossless coprime factorization. It is shown that this method can resolve the suboptimal $\infty$ control problem solving only two Riccati equations in discrete-time systems.

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Necessary Conditions for Optimal Actuator and Sensor Locations for Suboptimal Control of Distributed Parameter Systems (연속계 제어시스템의 설계를 위한 구동장치와 측정장치의 최적위치 선정)

  • Cho, H. S.
    • Transactions of the Korean Society of Mechanical Engineers
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    • 제6권2호
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    • pp.191-195
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    • 1982
  • 연속계의 동적 시스템을 제어하고저 할 때에는 구동장치와 측정장치를 어느 위치에 두느냐에 따라 시스템의 제어 성능이 상당히 달라지기 때문에 위치선정 문제가 매우 중요한 설계변수의 하나이다. 본 연구에서는 일반 연속계의 제어시스템을 설계하고저 할 때를 고려하여, 그들의 최적 위치를 결정할 수 있는 조건식을 최적 제어 이론을 바탕으로 유도하였다.

Simultaneous Optimum Design of Structural and Control Systems for Truss Structure with Collocated Sensors and Actuators (센서/액츄에이터 콜로케이션을 이용한 트러스 구조물에 대한 구조계와 제어계의 동시 최적설계)

  • Tada, Yukio;Park, Jung-Hyen
    • Journal of the Korean Society for Precision Engineering
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    • 제16권11호
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    • pp.133-138
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    • 1999
  • 3차원 트러스 구조물을 설계대상으로, 구조계와 제어계의 동시최적설계문제에 대하여 고찰하였다. 구조 설계에대한 최소중량설계와 제어 설계에대한 외란 억제문제를 설계목적으로 고려하였다. 그리고, 본연구의 유용성을 입증하기위한 수치 시뮬레이션의 결과를 기술하였다.

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Application of Recent Approximate Dynamic Programming Methods for Navigation Problems (주행문제를 위한 최신 근사적 동적계획법의 적용)

  • Min, Dae-Hong;Jung, Keun-Woo;Kwon, Ki-Young;Park, Joo-Young
    • Journal of the Korean Institute of Intelligent Systems
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    • 제21권6호
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    • pp.737-742
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    • 2011
  • Navigation problems include the task of determining the control input under various constraints for systems such as mobile robots subject to uncertain disturbance. Such tasks can be modeled as constrained stochastic control problems. In order to solve these control problems, one may try to utilize the dynamic programming(DP) methods which rely on the concept of optimal value function. However, in most real-world problems, this trial would give us many difficulties; for examples, the exact system model may not be known; the computation of the optimal control policy may be impossible; and/or a huge amount of computing resource may be in need. As a strategy to overcome the difficulties of DP, one can utilize ADP(approximate dynamic programming) methods, which find suboptimal control policies resorting to approximate value functions. In this paper, we apply recently proposed ADP methods to a class of navigation problems having complex constraints, and observe the resultant performance characteristics.

Optimal Control of Nuclear Power Plant under Considering State and Control Vector in Normal Operation (정상운전시 상태 및 제어백터 가변을 고려한 원자력 발전설비의 최적제어)

  • 김동화
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • 제8권4호
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    • pp.63-69
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    • 1994
  • 본 논문에서는 원자력 발전소 정상 운전시 제어 및 상태벡터 가변을 고려한 최적제어 문제가 연구되었다. 제어기 설계시 제어 및 상태벡터가 변하는 경우를 고려하여 제어기를 구성하고 운전중 상태 및 제어벡터 가변에 따라 변하는 제어기의 최적이득을 정한정 및 양한정 행렬을 이용해 구함으로서 운전중의 부하변화 및 외란에 대해 실질적인 최적제어가 되도록 하였다. 시뮬레이션 결과 정상상태의 부하변화에 대해서는 제어목적에 맞게 잘 추종하고 있었고 원자로 입·출구 및 가압기 계통의 외란에 대해서는 정상상태시의 부하변화와 같은 응답특성을 갖으나 적은 외란에 대해서도 부하가 크게 변하는 회과를 갖는 응답특성을 보이고 있어 외란이 시스템 전반에 미치는 영향이 매우 큼을 보이고 있다.

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