• Title/Summary/Keyword: 선형 2차 제어

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A Development of Learning Control Method for the Accurate Control of Industrial Robot (산업용 로봇트의 정밀제어를 위한 학습제어 방법의 개발)

  • 허경무;원광호
    • Proceedings of the KAIS Fall Conference
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    • 2000.10a
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    • pp.218-222
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    • 2000
  • 본 논문에서는 피드백 사용형 2차 반복 학습제어 방법이 수렴 성능의 향상과 외란에 대한 강인성 향상에 덧붙여 학습제어의 피드백 항을 이용함으로써 초기 조건 오차가 있음에도 불구하고 이를 극복할 뿐만 아니라 기존의 알고리즘보다 더 빠른 수렴 능력이 있음을 확인한다. 또한 불안정한 결과를 낳는 높은 학습 제어 게인의 경우에도 피드백 항을 추가한 본 학습제어 방법에 의해 안정화됨으로써, 빠른 응답 특성과 강인성 향상을 가져올 수 있음을 보인다. 그리고 본 알고리즘을 선형 시변 연속 시스템이 적용된 모델 시스템을 설계하여 이를 통한 시뮬레이션 결과로서 초기 조건 오차의 극복 능력이 뛰어남을 확인하고 시스템의 안정화와 강인성 향상에 기여함을 확인한다.

Stepwise Fuzzy Moving Sliding Surface for Second-Order Nonlinear Systems (2차 비선형 시스템에 대한 계단형 퍼지 이동 슬라이딩 평면)

  • Yoo, Byung-Kook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.6
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    • pp.524-530
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    • 2002
  • This note suggests a stepwise fuzzy moving sliding surface using Sugeno-type fuzzy system and presents a sliding mode control scheme using it. The fuzzy system has the angle of state error vector and the distance from the origin in the phase plane as inputs and a first-order linear differential equation as output. The surface initially passes arbitrary initial states and subsequently moves towards a predetermined surface via rotating or shifting. This method reduces the reaching and tracking time and improves robustness. Conceptually the slope of the Proposed fuzzy moving sliding surface increases stepwise in the stable region of the phase plane. The surface, however, rotates continuously because the surface is a fuzzy system. The asymptotic stability of the fuzzy sliding surface is proved. The validity of the proposed control scheme is shown in computer simulation for a second-order nonlinear system.

Development of Learning Controller with Feedback for Equipment System (설비시스템을 위한 궤환을 갖는 학습제어기 개발)

  • 허경무
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.12 no.2
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    • pp.108-114
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    • 1998
  • In this paper a second-order iterative learning control algorithm with feedback is proposed for use in real equipment systems requiring accurate and robust control. The convergence condition of the proposed algorithm is provided, and a simulation result is given to show the effectiveness of the proposed algorithm. It is shown that, by adding a feedback term in learning control algorithm, convergence speed, robustness to disturbances or system parameter variations can be improved.proved.

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Design and Simulation of a Second Order Sigma-Delta Modulator with 14-bit Resolution (14 비트 분해능을 갖는 2차 Sigma-Delta 변조기 설계 및 검증)

  • Cho, Byung-Woog;Choi, Pyung;Sohn, Byung-Ki
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.5
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    • pp.122-131
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    • 1999
  • 저주파의 아날로그 신호를 디지털 신호로 변환하기 위해 sigma-delta 아날로그-디지털 변환기의 이용이 용이하다. 이 변환기는 변조기와 디지털 필터로 구성되는데 본 논문에서는 변조기에 대해서만 언급한다. 모델링을 통해 14비트 분해능을 갖는 2차 sigma-delta 변조기를 설계하기 위한 변조기의 구성요소 즉 연산 증폭기, 적분기, 내부 ADC 및 DAC의 최대 허용 에러 범위를 규정하였으며, 이를 토대로 연산증폭기, 2비트 ADC 및 DAC 등을 설계·검증하고, 이들을 서로 연결하여 2차 sigma-delta 변조기를 구성하였다. 3비트 ADC의 기준전압을 조절하여 변조기 성능 향상을 도모하였으며, 내부 DAC를 축전기 및 간단한 제어회로로 구성하여 비선형성 에러를 최소화하였다. 설계된 각각의 구성요소들은 모델링에서 정의된 에러 범위를 모두 만족하였으며, 전체 변조기는87㏈의 입력범위와 87㏈의 최대 신호 대 잡음 비를 가졌다.

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Pole Placement Method to Move a Equal Poles with Jordan Block to Two Real Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 조단 블록을 갖는 중근을 두 실근으로 이동시키는 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.608-616
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    • 2018
  • If a general nonlinear system is linearized by the successive multiplication of the 1st and 2nd order systems, then there are four types of poles in this linearized system: the pole of the 1st order system and the equal poles, two distinct real poles, and complex conjugate pair of poles of the 2nd order system. Linear Quadratic (LQ) control is a method of designing a control law that minimizes the quadratic performance index. It has the advantage of ensuring the stability of the system and the pole placement of the root of the system by weighted matrix adjustment. LQ control by the weighted matrix can move the position of the pole of the system arbitrarily, but it is difficult to set the weighting matrix by the trial and error method. This problem can be solved using the characteristic equations of the Hamiltonian system, and if the control weighting matrix is a symmetric matrix of constants, it is possible to move several poles of the system to the desired closed loop poles by applying the control law repeatedly. The paper presents a method of calculating the state weighting matrix and the control law for moving the equal poles with Jordan blocks to two real poles using the characteristic equation of the Hamiltonian system. We express this characteristic equation with a state weighting matrix by means of a trigonometric function, and we derive the relation function (${\rho},\;{\theta}$) between the equal poles and the state weighting matrix under the condition that the two real poles are the roots of the characteristic equation. Then, we obtain the moving-range of the two real poles under the condition that the state weighting matrix becomes a positive semi-finite matrix. We calculate the state weighting matrix and the control law by substituting the two real roots selected in the moving-range into the relational function. As an example, we apply the proposed method to a simple example 3rd order system.

Rotor Flux Estimation of an Induction Motor using the Extended Luenberger Observer (확장된 루엔버거 관측기를 이용한 유도전동기 회전자 자속 추정)

  • 조금배;최연옥;정삼용
    • The Transactions of the Korean Institute of Power Electronics
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    • v.6 no.2
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    • pp.115-124
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    • 2001
  • In this paper, authors propose a new nonlinear rotor flux observer for rotor field oriented control of an induction motor which is designed based on the extended Luenberger Observer theory. Extended Luenberger Observer requires minimal solution of nonlinear partial differential equation on its coordinate transformation and linearization needed on a nonlinear observer design in general. The proposed rotor flux observer is derived from the 2 phase model of induction motor on the orthogonal coordination and it has the reduce gain matrix. Simulation and experimentation were performed under the conventional indirect vector control and direct vector control with the proposed observer at different rotor resistance. Simulation results show that the convergence of the proposed observer is influenced by the chosen eigenvalues. Experimentation results on load operation show the direct vector control with the proposed observer is better than the indirect vector control to maintain the characteristics of the vector control.

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The Stabilized Speed Control Modeling of Single-side Linear Induction Motor Considering End-effect (단부효과가 고려된 편측형 선형유도전동기의 안정속도제어 모델링)

  • Lim, Hong-Woo;Chae, Bong;Choi, Moon-Han;Lee, Kang-Yeon;Cho, Geum-Bae;Baek, Hyung-Lae
    • The Transactions of the Korean Institute of Power Electronics
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    • v.11 no.3
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    • pp.266-273
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    • 2006
  • In difference with the rotary type electrical machinery, the single-sided linear induction motor(SLIM) that generates the direct thrust, is widely used for the operation system of electrified railroad, lope-less elevation system, conveyer system, and so on. The operational principle of single-sided linear induction motor is constructively similar to the general rotary Induction motor It Is difficult to realize the complicate linear induction motor which is applied space vector pulse width modulation(SVPWM) system, but widely used in vector motor control system or servo control system because of its high performance in current control. In this paper, we has modeled the dynamic characteristic analyzing methode, and calculated efficiently the end effect by using equivalent circuit methode in the operating linear Induction motor control system.

Mid-course Trajectory Optimization for Boost-Glide Missiles Based on Convex Programming (컨벡스 프로그래밍을 이용한 추진-활공 유도탄의 중기궤적 최적화)

  • Kwon, Hyuck-Hoon;Hong, Seong-Min;Kim, Gyeong-Hun;Kim, Yoon-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.21-30
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    • 2021
  • Mid-course trajectory of the missiles equipped with seeker should be designed to detect target within FOV of seeker and to maximize the maneuverability at the point of transition to terminal guidance phase. Because the trajectory optimization problems are generally hard to obtain the analytic solutions due to its own nonlinearity with several constraints, the various numerical methods have been presented so far. In this paper, mid-course trajectory optimization problem for boost-glide missiles is calculated by using SOCP (Second-Order Cone Programming) which is one of convex optimization methods. At first, control variable augmentation scheme with a control constraint is suggested to reduce state variables of missile dynamics. And it is reformulated using a normalized time approach to cope with a free final time problem and boost time problem. Then, partial linearization and lossless convexification are used to convexify dynamic equation and control constraint, respectively. Finally, the results of the proposed method are compared with those of state-of-the-art nonlinear optimization method for verification.

A Design of Anti-sway Controller for Container Crane (컨테이너 크레인의 흔들림 억제 제어기 설계)

  • Son, J.K.;Kwon, S.J.;Park, H.S.
    • Journal of Power System Engineering
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    • v.7 no.1
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    • pp.51-59
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    • 2003
  • The recent amount of container freight continuously has been increased, but the low efficiency of container crane causes jamming frequently in transportation and cargo handling at port. It is required that the working velocity and safety are improved by control of moving the trolley as quick as possible without large overshoot and any residual swing motion of container at the destination. In this paper, a LQ Fuzzy controller for a container crane is proposed to accomplish an optimal design of improved control system for minimizing the swing motion at destination. In this scheme a mathematical model for the system is obtained in state space form. Finally, the effectiveness of the proposed controller is verified through computer simulation.

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Design of a Container Crane Controller Using the LQ Control Technique (LQ 제어 기법을 이용한 컨테이너 크레인의 제어기 설계)

  • 손정기;최재준;소명옥;남택근;권순재
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.5
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    • pp.544-553
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    • 2002
  • The recent amount of container freight continuously has been increased, but the low efficiency of container crane causes jamming frequently in transportation and cargo handling at port. It is required that the working velocity and safety are improved by control of moving the trolley as quick as possible without large overshoot and any residual swing motion of container at the destination. In this paper, a LQ controller for a container crane is proposed to accomplish an optimal design of improved control system for minimizing the swing motion at destination. In this scheme a mathematical model for the system is obtained in state space form. Finally, the effectiveness of the proposed controller is verified through computer simulation.