• 제목/요약/키워드: linear optimal control

검색결과 735건 처리시간 0.028초

비선형제어계에 있어서 평가보조함수적용에 관한 연구 (Study on Adaptation of Parameteric Funition in Performance Index for Non-linear Control System Design)

  • 심흥석;김경기
    • 대한전자공학회논문지
    • /
    • 제10권1호
    • /
    • pp.1-8
    • /
    • 1973
  • 비선형제어계의 최적제어는 일반적으로 해석적인 방법에 의하여 그해를 구하기 곤란하다. 그뿐만 아니라 문제대상에 관한 완전한 수학적모형구성이 곤란한 경우도 많다. 본논문에서는 비선형제어계의 설계에 있어서 최적방책을 구하는 과정에서 보조적인 수단으로 평가함수내에 보조함수를 도입하여 최적문제의 해를 구하는 방법을 제시하였다. 평가함수는 적분이차형의 문제를 취급하여 그 보조함수를 적절히 선정하여 소기의 응답특성을 얻을 수 있음을 밝히고 몇가지 예를 취급하여 이러한 보조함수의 유용성을 구체적으로 고찰하였다.

  • PDF

끝단이 탄성 지지된 강체판의 최적진동제어 (Optimal Vibration Control of Rigid Plate Elastically Supported at the Edges)

  • 이성기;윤신일;한상보
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 춘계학술대회
    • /
    • pp.828-833
    • /
    • 2003
  • Rigid plate elastically supported at the edges is modeled and the performance of the optimal vibration control under sinusoidal excitation is tested. The controller based on the linear quadratic regulator with output feedback is designed to control the multi-degree of freedom vibration. Relative weighting parameters are considered as design constraints to determine the limitation of maximum control force and state parameters. Control force calculated by proportional output feedback of the displacement and velocity is used to suppress the vibration induced by the sinusoidal external force. The active vibration control of vibrating plate by the LQR controller is examined through the numerical simulations that show the effectiveness of optimal control scheme on the three degrees of freedom structure.

  • PDF

증류탑에의 최적제어 응용연구 (Application of optimal control to a distillation column)

  • 장홍래;박현수;서인석
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
    • /
    • pp.209-211
    • /
    • 1986
  • The continuous time linear quadratic problem (LQP) has been applied to the control of a 8-tray distillation column using the code VASP. The weighting matrices for the state variables and control variables were adjusted iteratively. The simulation results of the optimal control with 2 inputs and 2 outputs showed that the LQP method is very satisfactory for a rapid response and feedback control, and any desired response could be obtained by adjusting the weighting matrices Q under = and R under =. The feedback gain matrix K under = was also determined.

  • PDF

Combined Optimal Design of Flexible Beam with Sliding Mode Control System

  • Park, Jung-Hyen;Kim, Soon-Ho
    • 한국해양공학회지
    • /
    • 제17권4호
    • /
    • pp.59-65
    • /
    • 2003
  • In order to achieve the desired lightweight and robust design of a structure, it is preferable to design a structure and its control system, simultaneously, which is termed the combined optimal design. A constant-cross-sectional area cantilever beam was chosen as the optimum design method, An initial load and a time-varying disturbance were applied at the free end of the beam. Sliding mode control was selected, due to its insensitivity to the disturbance, compared with other modes. It is known that the sliding mode control is robust to the disturbance and is uncertain, only if a matching condition is met, after giving a switching hyper plane. In this study, the optimum method was used for the design of the switching hyper plane, and the objective function of the optimum switching hyper plane was assumed to be the objective of the control system. The total weight of the structure was treated as a constraint, and the cross sectional areas of the beam were considered as design variables, the result being a nonlinear programming problem. To solve it, the sequential linear programming method was applied. As a result of the optimum design, the effect of attenuating vibrations has been substantially improved. Moreover, the lightweight design of the structure became possible as a result of the relationship of the weight of the structure to the control objective function.

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

  • 박원석;박관순
    • 한국지진공학회논문집
    • /
    • 제15권2호
    • /
    • pp.1-9
    • /
    • 2011
  • 불확실성을 가지는 하중의 변동성을 고려한 구조제어시스템의 최적설계방법에 관하여 연구하였다. 일반적인 제어시스템의 설계 문제가 구조물과 제어시스템간의 상호작용 고려하여 구조-제어 시스템을 최적화이나, 이 연구에서는 하중-구조물-제어 시스템간의 상호작용에 대한 최적설계방법에 관하여 다루었다. 구조물의 응답을 최대화하는 하중과, 이를 최소화하는 구조제어시스템을 동시에 구하는 최대-최소문제(Min-max Problem)를 정식화하고, 최적설계변수를 효율적으로 찾는 방법으로 병렬진화 알고리즘을 이용하여 불확실성이 존재하는 선형구조제어시스템의 최적설계방법을 제시하였다. 지진하중을 받는 구조물의 제진시스템 설계 예 및 수치해석을 통하여 연구한 방법의 타당성을 검증하였다.

Preview Control of High Mobility Tracked Vehicle Suspension with multiple wheels

  • Kim, Yoonsun;Park, Youngjin
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2002년도 ICCAS
    • /
    • pp.115.3-115
    • /
    • 2002
  • To improve the performance of the tracked vehicle system, we examined the feasibility of using the preview control for the tracked vehicles suspension system. We proposed a method to apply a linear optimal preview control to the tracked vehicle system. To avoid the complexity of modeling the track subsystem and kinematical nonlinearity in the trailing arm suspension, we classified these as unknown dynamics and disturbances. We used the Time Delay Control(TDC) method to make sprung mass dynamics follow that of linear preview controlled tracked vehicle model by compensating the uncertainties and disturbances. We have verified by the computer simulation that the proposed method shows good robus...

  • PDF

최적제어이론을 이용한 불확실한 시스템의 제어 기법 연구 (A study on the stabilizing control of uncertain system with optimal control)

  • 한형석;이장규
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
    • /
    • pp.55-59
    • /
    • 1991
  • This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

  • PDF

위상 최적화를 이용한 능동 감쇠층의 설계 (Design of an Active Damping Layer Using Topology Optimization)

  • 김태우;김지환
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2003년도 추계학술대회논문집
    • /
    • pp.660-664
    • /
    • 2003
  • The optimal thickness distribution of an active damping layer is sought so that it satisfies a certain constraint on the dynamic performance of a system minimizing control efforts. To obtain a topologically optimized configuration, which includes size and shape optimization, thickness of the active damping layer is interpolated using linear functions. With the control energy as the objective function to be minimized, the state error energy is introduced as the dynamic performance criterion for the system and used lot a constraint. The optimal control gains are evaluated from LQR simultaneously as the optimization of the layer position proceeds. From numerical simulation, the topologically optimized distribution of the active damping layer shows the same dynamic performance and cost as the Idly covered counterpart, which is optimized only in terms of control gains, with less amount of the layer.

  • PDF

DC Motor 제어를 위한 상태궤환 변수의 최적제어 (Optimal control of the State Feedback Variables for Controlling DC Motor)

  • 최진부
    • 대한전자공학회논문지
    • /
    • 제22권3호
    • /
    • pp.31-42
    • /
    • 1985
  • DC motor를 제어하기 위하여, 두개의 feedback sensor 즉, potenfiometer와 tachometer를 사용하고 있다. 최적 제어치를 얻기위한 제어 방법으로써 선형계로써는 kalman regular type, 비 선형계로써는 on-off relay-type와 상태 제환을 적용하였다. 역시, 추적각의 측정 방법으로서는. 측정치를 이웅한 위치와 속도 미분치를 이용한 위치와 속도, 그리고 관측기를 이용한 위치, 속도와 오제곱 분산치를 추정하여 추적각의 제어치를 비교 분석하였다.

  • PDF

PID Type Iterative Learning Control with Optimal Gains

  • Madady, Ali
    • International Journal of Control, Automation, and Systems
    • /
    • 제6권2호
    • /
    • pp.194-203
    • /
    • 2008
  • Iterative learning control (ILC) is a simple and effective method for the control of systems that perform the same task repetitively. ILC algorithm uses the repetitiveness of the task to track the desired trajectory. In this paper, we propose a PID (proportional plus integral and derivative) type ILC update law for control discrete-time single input single-output (SISO) linear time-invariant (LTI) systems, performing repetitive tasks. In this approach, the input of controlled system in current cycle is modified by applying the PID strategy on the error achieved between the system output and the desired trajectory in a last previous iteration. The convergence of the presented scheme is analyzed and its convergence condition is obtained in terms of the PID coefficients. An optimal design method is proposed to determine the PID coefficients. It is also shown that under some given conditions, this optimal iterative learning controller can guarantee the monotonic convergence. An illustrative example is given to demonstrate the effectiveness of the proposed technique.