• Title/Summary/Keyword: 점근적 추종

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Output Tracking Controller Design of Discrete-Time TS Fuzzy Systems (이산 시간 TS 퍼지 시스템의 출력 추종 제어기 설계)

  • 이호재;주영훈;박진배
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.1
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    • pp.45-51
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    • 2001
  • 본 논문은 이산 시간 Takagi-Sugeno (TS) 퍼지 시스템에 대한 출력 추종 제어기 설계에 관하여 연구한다. 출력 추종 제어기의 설계를 위하여 이산 시간 TS 퍼지 시스템을 불확실성을 포함한 선형 시스템의 집합으로서 표현하는 기법을 제시한다. 시스템의 상태에 대하여 어파인 변환을 하여 출력 추종 제어문제를 안정화 문제로 변환한다. 점근적 추종성능을 보장하는 제어기 설계를 위한 충분조건은 선형 행렬 부등식의 형태로 표현되면 주어진 제어기 설계의 해는 여러 가지 수치적 기법을 이용하여 효율적으로 구해질 수 있다. 트레일러 트럭의 임의의 위치에 후진 주차시키기 위한 제어기 설계의 예를 통하여 본 논문에서 제안한 추종 제어 기법의 효용성을 검증한다.

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Asymptotic Output Tracking of Non-minimum Phase Nonlinear Systems through Learning Based Inversion (학습제어를 이용한 비최소 위상 비선형 시스템의 점근적 추종)

  • Kim, Nam Guk
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.21 no.8
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    • pp.32-42
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    • 2022
  • Asymptotic tracking of a non-minimum phase nonlinear system has been a popular topic in control theory and application. In this paper, we propose a new control scheme to achieve asymptotic output tracking in anon-minimum phase nonlinear system for periodic trajectories through an iterative learning control with the stable inversion. The proposed design method is robust to parameter uncertainties and periodic external disturbances since it is based on iterative learning. The performance of the proposed algorithm was demonstrated through the simulation results using a typical non-minimum nonlinear system of an inverted pendulum on a cart.

L1 Adaptive Controller Augmented with Feedback Linearization (피드백 선형화를 이용한 L1 적응제어기법 연구)

  • Kim, Nak-Wan;Yoo, Chang-Sun;Kang, Young-Shin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.6
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    • pp.558-564
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    • 2008
  • This paper presents an approach to combine adaptive controller with feedback linearization, which extends the applicability of the adaptive controller to a wider class of systems. The adaptive controller guarantees the asymptotic tracking convergence and the transient performance of the tracking error. The feedback linearization transforms a nonlinear plant into a linear time invariant form. The asymptotic tracking convergence is shown by the use of Lyapunov stability analysis and Barbalat's lemma.

State-Feedback Backstepping Controller for Uncertain Pure-Feedback Nonlinear Systems Using Switching Differentiator (불확실한 순궤환 비선형 계통에 대한 스위칭 미분기를 이용한 상태궤환 백스테핑 제어기)

  • Park, Jang-Hyun
    • Journal of IKEEE
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    • v.23 no.2
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    • pp.716-721
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    • 2019
  • A novel switching differentiator-based backstepping controller for uncertain pure-feedback nonlinear systems is proposed. Using asymptotically convergent switching differentiator, time-derivatives of the virtual controls are directly estimated in every backstepping design steps. As a result, the control law has an extremely simple form and asymptotical stability of the tracking error is guaranteed regardless of parametric or unstructured uncertainties and unmatched disturbances in the considered system. It is required no universal approximators such as neural networks or fuzzy logic systems that are adaptively tuned online to cope with system uncertainties. Simulation results show the simplicity and performance of the proposed controller.

Optimizing Design Constants of Higher-Order Switching Differentiator (고차 스위칭 미분 추정기의 설계 상수 최적화)

  • Park, Jang-Hyun
    • Journal of IKEEE
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    • v.24 no.4
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    • pp.950-953
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    • 2020
  • A switching differentiator that can estimate the 1st-order time-derivative of a time-varying signal was proposed, and it is extended later to the higher-order switching differentiator(HOSD) that can observe higher-order time-derivatives of a time-varying signal in previous works. By using HOSD, higher-order time-derivatives can be estimated without peaking or chattering, and it has an asymptotic tracking performance. However, there exist many design constants to be determined in HOSD. In this paper, a method of reducing the number of design constants is proposed to solve the problem. Simulations reveal the effectiveness of the proposed method.

Tracking Control of BLDC Motor Based on Disturbance Observer (외란 관측기 기반의 BLDC 전동기 추종제어)

  • Jeon, Yong-Ho;Lee, Shin-Won
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.5
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    • pp.907-912
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    • 2020
  • When designing a controller, a motor can have robust and precise control performance only by considering the error of the motor's mathematical model and the disturbance acting on it. For robust and precise control, the mechanical and electrical disturbance observers were designed to estimate the disturbance, and applied to the speed controller and current controller designed as a nominal system. To confirm the control performance of the designed system, it is applied to a 120 [W] class BLDC motor, and the result of the speed tracking control overcomes disturbances, the steady state error converges to zero, and the asymptotically stable result can be confirmed.

Adaptive Output Feedback Position/Force Tracking Control of Robot Manipulators (로봇 매니퓰레이터의 위치/힘 추종을 위한 적응 출력 피드백 제어)

  • Shin, Hyun-Seok;Lee, Geun-Ho;Lee, Sung-Ryul; Park, Chang-Woo;Park, Mignon
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.197-200
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    • 2001
  • 본 논문에서는 특정한 형태의 제약 즉, 매니퓰레이터의 자유도와 주어진 제약조건의 차원의 차이가 1이며, 매니퓰레이터의 동역학을 작업영역에서의 축차모델로 나타내었을 때, 변환행렬이 단위행렬로 나타나는 제약을 가지는 불확실한 로봇 매니퓰레이터의 위치/힘 추종을 위한 적응제어기를 제안한다. 제안된 제어기는 비선형 좌표변환을 통하여 얻어진 로봇의 축차모델(reduced-order model)을 이용하여 위치제어와 힘제어의 문제를 분리한다. 특히, 비선형 동적 필터를 이용하여 위치의 측정만을 필요로 하며, 적응제어 기법을 통하여 전역 점근적인 안정성을 보장한다.

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PI-based Containment Control for Multi-agent Systems with Input Saturations (입력 포화가 존재하는 다중 에이전트 시스템을 위한 PI기반의 봉쇄제어)

  • Lim, Young-Hun;Tack, Han-Ho;Kang, Shin-Chul
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.1
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    • pp.102-107
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    • 2021
  • This paper discusses the containment control problem for multi-agent systems with input saturations. The goal of the containment control is to obtain swarming behavior by driving follower agents into the convex hull which is spanned by multiple leader agents. This paper considers multiple leader agents moving at the same constant speed. Then, to solve the containment problem for moving leaders, we propose a PI-based distributed control algorithm. We next analyze the convergence of follower agents to the desired positions. Specifically, we apply the integral-type Lyapunov function to take into account the saturation nonlinearity. Then, based on Lasalle's Invariance Principle, we show that the asymptotic convergence of error states to zero for any positive constant gains. Finally, numerical examples with the static and moving leaders are provided to validate the theoretical results.

Asymptotic Disturbance Rejection using a Disturbance Observer in the Track-Following Control System of a High-Speed Optical Disk Drive (고배속 광디스크 드라이브 트랙 추종 제어 시스템에서의 외란 관측기를 이용한 점근적 외란 제거)

  • 유정래;문정호;진경복;정명진
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.5
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    • pp.402-410
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    • 2004
  • To obtain a good tracking performance in an optical disk drive servo system, it is essential to attenuate periodic disturbances caused by eccentric rotation of the disk. As an effective control scheme for enhancing disturbance attenuation performance, disturbance observers (DOBs) have been successfully applied to the track-following servo system of optical disk drives. In disk drive systems, the improvement of data transfer rate has been achieved mainly by the increase of disk rotational speed, which leads to the increase of the disturbance frequency. Conventional DOBs are no longer effective in disk drive systems with a high-speed rotation mechanism because the performance of conventional DOBs is severely degraded as the disk rotational frequency increases. This paper proposes a new DOB structure for effective rejection of the disturbance in optical disk drives with a very high rotation speed. Asymptotic disturbance rejection is achieved by adopting a band-pass filter in the DOB structure, which is tuned based on the information on the disturbance frequency. In addition, performance sensitivity of the proposed DOB to changes in disk rotational frequency is analyzed. The effectiveness of the proposed DOB is verified through simulations and experiments using a DVD-ROM drive.

Speed Control of the IPMSM Using The Torque Output Feedback (IPMSM의 토크출력피드백을 이용한 속도제어)

  • Jeon, Yong-Ho
    • The Journal of the Korea institute of electronic communication sciences
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    • v.13 no.1
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    • pp.93-100
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    • 2018
  • This study proposes a controller that compensates torque error for precise angular velocity tracking and a method to compensate the stability of controller in implementation. Also, it is proved that the designed controller can be asymptotically stable based on Lyapunov stability theory. The proposed controller is able to control the d-axis reference current to arbitrary values and easily achieve control performance with two gains. As a result of applying to IPMSM of about 750W class, the steady state error with reference speed 1200 [RPM] is within 0.1 [%]. And it can be seen that it is an asymptomatic stable controller overcoming disturbance within about 0.2 second in application of constant load of about 5 [Nm].