• 제목/요약/키워드: Quadratic optimal control

검색결과 273건 처리시간 0.028초

Application of sucessive quadratic programming to chemical process control

  • Cho, In-Ho;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.879-884
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    • 1988
  • For more economical operation of chemical plants, optimal operating conditions are to be set and maintained as far as possible. For this purpose, optimizing control is applied to chemical plants. In this study, a process optimizer composed of a process simulator and an optimization routine using Successive Quadratic Programming as optimization technique is developed and the effect of optimizing control is tested on an example process, and a new process optimization strategy based on modified Jacobian matrix is developed.

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열간사상압연기의 루퍼 ILQ 제어에 있어 선형화 기법에 따른 제어기 구조 및 성능 (Controller Structure and Performance According to Linearization Methods in the Looper ILQ Control for Hot Strip Finishing Mills)

  • 박철재;황이철
    • 제어로봇시스템학회논문지
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    • 제13권4호
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    • pp.377-384
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    • 2007
  • This paper studies on the relation between linearization methods and controller gains in the looper ILQ(lnverse Linear Quadratic optimal control) system for hot strip finishing mills. Firstly, two linear models arc respectively derived by a linearization method using Taylor's series expansion and a static state feedback linearization method, respectively, and the linear models are compared with the nonlinear model. Secondly, the looper servo controllers are respectively designed on the basis of two linearization models. Finally, the relation between the performances of two ILQ servo controllers and the linearization methods, and the structures and control gains of two controllers are evaluated by a computer simulation.

PID 제어기의 최적설계에 관한 연구 (A Study on the Optimal Design of a PID Controller(II))

  • 양주호;하주식
    • Journal of Advanced Marine Engineering and Technology
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    • 제11권3호
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    • pp.61-69
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    • 1987
  • The PID controller is one of the most popular devices for control systems and the adjustment of its parameters has been generally accomplished by semi-empirical rules and has been considered only in the view of improvement of the control performance. But in modern control theory, a quadratic form is introduced as a criterion function which considers not only to improve quality of control but also to save energy required for the control. In this paper, authors propose a method of the parameter adjustment of the PID controller by means of maximum principle minimizing the quadratic criterion function and establish a link between the conventional parameter adjustment method and the technique of the modern optimal control theory in the design of a PID controller.

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Optimal Design and Development of Electromagnetic Linear Actuator for Mass Flow Controller

  • Chung, Myung-Jin;Gweon, Dae-Gab
    • Journal of Mechanical Science and Technology
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    • 제17권1호
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    • pp.40-47
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    • 2003
  • In this paper, we constructed the analytic model of control valve as a function of electric and geometric parameters, and analyzed the influence of the design parameters on the dynamic characteristics. For improving the dynamic characteristics, optimal design is conducted by applying sequential quadratic programming method to the analytic model. This optimal design aims to minimize the response time and maximize force efficiency. By this procedure, control valve can be designed to have fast response in motion.

자기베어링을 이용한 회전축의 최적제어 및 강건제어 (Optimal Control and Robust Control of Rotating Shaft Using Magnetic Bearings)

  • 강호식;정남희;윤일성;송오섭
    • 한국소음진동공학회논문집
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    • 제14권12호
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    • pp.1330-1337
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    • 2004
  • In this study, the equations of motion of a rigid rotor supported by magnetic bearings are derived via Hamilton's principle, and transformed to a state-space form for control purpose. The optimal motion control of rotor magnetic bearing system based on the LQR(linear quadratic regulator) theory is addressed. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. And the robust control of the system with an LMI(linear matrix inequality) based H$_{\infty}$ theory is dealt with in this paper. Loop shapings of TFM (transfer function matrix) are used to increase the performance of control capability of the system. The control abilities of LQR and H$_{\infty}$ controller are compared by simulation and experimental tests and show that the capability of H$_{\infty}$ controller is superior to that of LQR.

Optimal Speed Control of Hybrid Electric Vehicles

  • Yadav, Anil Kumar;Gaur, Prerna;Jha, Shyama Kant;Gupta, J.R.P.;Mittal, A.P.
    • Journal of Power Electronics
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    • 제11권4호
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    • pp.393-400
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    • 2011
  • The main objective of this paper is to control the speed of Nonlinear Hybrid Electric Vehicle (HEV) by controlling the throttle position. Various control techniques such as well known Proportional-Integral-Derivative (PID) controller in conjunction with state feedback controller (SFC) such as Pole Placement Technique (PPT), Observer Based Controller (OBC) and Linear Quadratic Regulator (LQR) Controller are designed. Some Intelligent control techniques e.g. fuzzy logic PD, Fuzzy logic PI along with Adaptive Controller such as Self Organizing Controller (SOC) is also designed. The design objective in this research paper is to provide smooth throttle movement, zero steady-state speed error, and to maintain a Selected Vehicle (SV) speed. A comparative study is carried out in order to identify the superiority of optimal control technique so as to get improved fuel economy, reduced pollution, improved driving safety and reduced manufacturing costs.

최적제어이론에 의한 원자로 제어봉속도의 설계 (The Control Rod Speed Design for the Nuclear Reactor Power Control Using Optimal Control Theory)

  • Lee, Yoon-Joon
    • Nuclear Engineering and Technology
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    • 제26권4호
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    • pp.536-547
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    • 1994
  • 본 논문에서는 최적제어기법을 이용한 원자로 출력 제어시스템을 다루었다. 시스템 변수들을 상태변수로 표시하면 관측치 뿐만 아니라 시스템 내부의 모든 상태변수를 동시에 다룰 수 있으므로 설계의 자유도가 증가될 수 있다. 따라서 본 논문에서는 원자로의 동특성식과 열수력학적 에너지 평형식을 사용하여 원자로를 모델링한 후 이를 상태변수로 나타내었다. 다음으로는 LQR 및 LQG 시스템을 설계하여 제어봉 및 출력의 거동을 동시에 만족시킬 수 있는 설계조건을 결정하였다. 또한 서보 시스템의 설계를 위해 보통의 휘드백 시스템과 차수를 증가시킨 레귤레이팅 시스템을 만들어 비교하였으며 그 결과 증가차수 레귤레이팅 시스템이 보통의 휘드백 시스템에 비해 우수한 제어 특성이 있음을 알 수 있었다.

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Structural optimal control based on explicit time-domain method

  • Taicong Chen;Houzuo Guo;Cheng Su
    • Structural Engineering and Mechanics
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    • 제85권5호
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    • pp.607-620
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    • 2023
  • The classical optimal control (COC) method has been widely used for linear quadratic regulator (LQR) problems of structural control. However, the equation of motion of the structure is incorporated into the optimization model as the constraint condition for the LQR problem, which needs to be solved through the Riccati equation under certain assumptions. In this study, an explicit optimal control (EOC) method is proposed based on the explicit time-domain method (ETDM). By use of the explicit formulation of structural responses, the LQR problem with the constraint of equation of motion can be transformed into an unconstrained optimization problem, and therefore the control law can be derived directly without solving the Riccati equation. To further optimize the weighting parameters adopted in the control law using the gradient-based optimization algorithm, the sensitivities of structural responses and control forces with respect to the weighting parameters are derived analytically based on the explicit expressions of dynamic responses of the controlled structure. Two numerical examples are investigated to demonstrate the feasibility of the EOC method and the optimization scheme for weighting parameters involved in the control law.

Linear quadratic control problem of delay differential equation

  • Shim, Jaedong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.208-213
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    • 1992
  • In this paper we are concerned with optimal control problems whose costs am quadratic and whose states are governed by linear delay equations and general boundary conditions. The basic new idea of this paper is to Introduce a new class of linear operators in such a way that the state equation subject to a starting function can be viewed as an inhomogeneous boundary value problem in the new linear operator equation. In this way we avoid the usual semigroup theory treatment to the problem and use only linear operator theory.

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이륜 도립진자 로봇의 모델 기반 제어 시스템 설계 (Model Based Control System Design of Two Wheeled Inverted Pendulum Robot)

  • 구대관;지준근;차귀수
    • 전력전자학회논문지
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    • 제16권2호
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    • pp.162-172
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    • 2011
  • 본 논문에서는 LEGO NXT 마인드스톰을 사용하여 이륜 도립진자 로봇을 제작하고 MATLAB/SIMULINK를 이용한 모델 기반 설계 방법으로 제어기를 구현한 임베디드 시스템을 제안하였다. 먼저 이륜 도립진자 로봇의 모델링과 시뮬레이션을 통해 제어기의 성능과 안정성을 확인한 다음 시뮬레이션 프로그램을 직접 코드 변환하여 실험으로 설계된 제어기의 유효성을 확인하였다. 이륜 도립진자 로봇은 도립진자 원리를 이용한 자율 자세 제어를 기본 기능으로 하고 목적지까지 주행이 가능한 로봇이다. 제어기는 2차의 최적제어 방법으로 설계된 상태궤환 제어기를 이용하였다. 2차의 최적제어는 성능 지수 함수 �じ� 최소로 하는 이득행렬 �ジ� 구해 상태궤환 제어기의 이득으로 쓰는 방법으로 이득 설정 방법이 용이하여 이륜 도립진자 로봇의 제어기로 사용할 수 있다. 이륜도립진자 로봇의 제어기를 설계한 후 실험으로 자세 제어 성능과 외란 응답성, 무선 조종 주행 성능, 라인 주행 및 장애물 회피 성능을 확인하였다.