• 제목/요약/키워드: steady-state tracking error

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Optimal PID Controller Design for DC Motor Speed Control System with Tracking and Regulating Constrained Optimization via Cuckoo Search

  • Puangdownreong, Deacha
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.460-467
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    • 2018
  • Metaheuristic optimization approach has become the new framework for control synthesis. The main purposes of the control design are command (input) tracking and load (disturbance) regulating. This article proposes an optimal proportional-integral-derivative (PID) controller design for the DC motor speed control system with tracking and regulating constrained optimization by using the cuckoo search (CS), one of the most efficient population-based metaheuristic optimization techniques. The sum-squared error between the referent input and the controlled output is set as the objective function to be minimized. The rise time, the maximum overshoot, settling time and steady-state error are set as inequality constraints for tracking purpose, while the regulating time and the maximum overshoot of load regulation are set as inequality constraints for regulating purpose. Results obtained by the CS will be compared with those obtained by the conventional design method named Ziegler-Nichols (Z-N) tuning rules. From simulation results, it was found that the Z-N provides an impractical PID controller with very high gains, whereas the CS gives an optimal PID controller for DC motor speed control system satisfying the preset tracking and regulating constraints. In addition, the simulation results are confirmed by the experimental ones from the DC motor speed control system developed by analog technology.

Policy Iteration Algorithm Based Fault Tolerant Tracking Control: An Implementation on Reconfigurable Manipulators

  • Li, Yuanchun;Xia, Hongbing;Zhao, Bo
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1740-1751
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    • 2018
  • This paper proposes a novel fault tolerant tracking control (FTTC) scheme for a class of nonlinear systems with actuator failures based on the policy iteration (PI) algorithm and the adaptive fault observer. The estimated actuator failure from an adaptive fault observer is utilized to construct an improved performance index function that reflects the failure, regulation and control simultaneously. With the help of the proper performance index function, the FTTC problem can be transformed into an optimal control problem. The fault tolerant tracking controller is composed of the desired controller and the approximated optimal feedback one. The desired controller is developed to maintain the desired tracking performance at the steady-state, and the approximated optimal feedback controller is designed to stabilize the tracking error dynamics in an optimal manner. By establishing a critic neural network, the PI algorithm is utilized to solve the Hamilton-Jacobi-Bellman equation, and then the approximated optimal feedback controller can be derived. Based on Lyapunov technique, the uniform ultimate boundedness of the closed-loop system is proven. The proposed FTTC scheme is applied to reconfigurable manipulators with two degree of freedoms in order to test the effectiveness via numerical simulation.

도플러 효과에 의한 지연 동기 루프의 추적 성능분석 (Infulence of doppler effects on the tracking performance of a dely locked loop)

  • 임성준;유흥균
    • 한국통신학회논문지
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    • 제23권4호
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    • pp.857-864
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    • 1998
  • 본 논문은 도플러 효과가 GPS 수신기용 비동기 2차 DLL(noncoherent second-order delay locked loop)의 추적 성능에 미치는 영향을 분석하였다. 성능 분석을 위하여 선형 DLL의 추적 정확도(steady state error and jitter)와 비선형 루프의 신뢰도를 고려하였다. 루프의 신뢰도에 관한 비선형 분석은 MTLL(mean time to lose lock)에서 근사 확장법을 사용하였다. 특히, 최대 MTLL을 얻기 위하여 loop에서 대역 여파기의 최적 대역폭과 최적 루프 파라미터를 제안하였다. 저궤도 위성의 경우는 도플러 영향이 크게 나타나므로 MTLL을 최대로 추적 오차를 최소 하는 효과를 기대할 수 있다. 시뮬레이션 결과로부터 설계된 디지탈 지연동기 루프 시스템이 정확히 동작함을 확인하기 위해 GPS 신호를 발생시키는 시뮬레이터인 STR-2770을 사용, 도플러 주파수를 첨가하여 실제 상황과 같은 환경에서 FPGA로 구현된 DLL회로의 성능을 검증하였다.

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추정된 쿨롱 마찰을 보상한 볼-스크류 시스템의 위치제어 (Position Control of Ball-Screw Systems with Compensation of Estimated Coulomb Friction)

  • 김한메;최정주;이영진;김종식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.893-898
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    • 2003
  • Coulomb friction is an important factor for precise position tracking control systems. The control systems with friction causes the steady state error because of being sensitive to the change of system condition and highly nonlinear characteristics. To overcome these problems, we use an estimation scheme of Coulomb friction to experiment for it's compensating. The estimated factor for Coulomb friction is used as a feed-forward compensator to improve the tracking performance of ball-screw systems. The tracking performance was improved by compensating the estimated friction torque in the feed-forward term. And, the sliding mode control which is derived from the Lyapunov stability theorem is applied for robust stability and reducing chattering. The experimental results show that the sliding mode controller with adaptive friction compensator has a good tracking performance compared with the friction uncompensated controller.

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하중적분 PDC와 ISMC를 이용한 이동 로봇의 궤도 추적 제어 시스템 (Trajectory Tracking Control System Design of Mobile Robot Based on WIPDC and ISMC)

  • 백두산;박승규;윤태성
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2015년도 제46회 하계학술대회
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    • pp.1337-1338
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    • 2015
  • In this paper, a new control technique using WIPDC(Weighted Integral Parallel Distributed Compensation) and ISMC(Integral Sliding Mode Control) is proposed for high performance and robust trajectory tracking control of a wheeled mobile robot. The WIPDC reduces the steady-state error by adding a weighted integral controller to the PDC. So, the trajectory tracking control using the WIPDC can obtain more accurate control performance than the PDC. And the ISMC based control input gives the mobile robot to preserve the system dynamics controlled by the WIPDC control input in spite of external disturbances. Therefore, the proposed control method shows a robust and precise trajectory tracking performance.

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외란관측기를 이용한 유압굴삭기 붐.아암 시스템의 궤적추적제어 (Trajectory Tracking Control of a Boom.Arm System of Hydraulic Excavator Using Disturbance Observer)

  • 조승호;안건형
    • 유공압시스템학회논문집
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    • 제1권1호
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    • pp.23-30
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    • 2004
  • This paper deals with the issue of trajectory tracking control of a hydraulic excavator using disturbance observer in order to compensate external disturbances occuring from coupling between attachment, asymmetry of a single rod cylinder, and deadzone of main control valve. Disturbance compensation control system with disturbance observer has been constructed for the boom and arm respectively. Simulation results were compared with experimental results to validate the computer simulation system of hydraulic excavator itself. Computer simulation shows that disturbance compensation control is effective for compensating system nonlinearity and thus improves positioning accuracy and trajectory tracking performance. Steady state error has been decreased by adding PI controller to this control scheme.

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풍력터빈의 LQR 제어 (LQR control of Wind Turbine)

  • 남윤수;조장환;임창희;박성수
    • 풍력에너지저널
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    • 제2권1호
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    • pp.74-81
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    • 2011
  • This paper deals with the application of LQ control to the power curve tracking control of wind turbine. However, two more additional tasks are required to apply the LQR theory to wind turbine control. One is the tracking problem instead of regulation, because the wind turbine is controlled as variable speed and variable pitch. The other is LQ integral control., because the rotor speed should be tightly controlled without any steady state error. Starting from the analysis of wind characteristics, design requirement of a wind turbine control system is defined. A design procedure of LQ tracking with integral control is introduced. The performance of LQ tracking system is analyzed and evaluated by numeric simulation.

적분 보상을 포함하는 로봇 매니퓰레이터의 시각 궤환 강인 제어 (A Robust Visual Feedback Control with Integral Compensation for Robot Manipulators)

  • 이강웅;지민석
    • 제어로봇시스템학회논문지
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    • 제12권3호
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    • pp.294-299
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    • 2006
  • This paper studies a visual feedback control scheme for robot manipulators with camera-in-hand configurations. We design a robust controller that compensates for bounded parametric uncertainties of robot mechanical dynamics. In order to reduce steady state tracking error of the robot arms due to uncertain dynamics, integral action is included in the control input. Using the Lyapunov stability criterion, the uniform ultimate boundedness of the tracking error is proved. Simulation and experimental results with a 2-1ink robot manipulator illustrate the robustness and effectiveness of the proposed control algorithm.

관측기를 갖는 2자유도 서보계의 승법적인 불확실성에 대한 강인한 안정성 (Robust stability of a two-degree-of-freedom servosystem incorporating an observer with multiplicative uncertainty)

  • 김영복;양주호
    • 제어로봇시스템학회논문지
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    • 제3권1호
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    • pp.1-8
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    • 1997
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem incorporating an observer to the structured and unstructured uncertainties of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is written in a linear matrix inequality (LMI) and independent of the gain of the integral compensator. This result impies that if the plant uncertainty is in the allowable set defined by the LMI condition, a high-gain integral compensation can be carried preserving robust stability to accelerate the tracking response.

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비선형 시스템에 대한 강인 반복 제어기 (Robust Repetitive Control for a Class of Nonlinear Systems)

  • 서원기
    • 전자공학회논문지SC
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    • 제40권6호
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    • pp.1-7
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    • 2003
  • 본 논문은 비선형 시스템에서 시스템의 출력이 주기적인 특징을 가지는 궤적을 따라가도록 하는 슬라이딩 모드 반복 제어기를 소개한다. 본 논문에서 제안하는 제어기는 전체 시스템을 안정화시키며 출력오차를 어떤 범위 안으로 지수적으로 수렴시키는 슬라이딩 모드 제어기와 추적 오차의 수렴을 위해서 사용되는 반복 제어기로 구성되어 있다. 본 논문에서는 제안하는 슬라이딩 모드 제어기는 기존의 방법과는 다르게 제어입력의 크기가 추적오차의 크기에 비례하게 되어 있어서 시스템의 차수를 올리지 않고 정상상태에서의 채터링(chattering) 문제를 크게 개선하는 특징을 가지고 있다.