• Title/Summary/Keyword: 궤환 선형화

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State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model (T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화)

  • Kim, Tae-Kue;Wang, Fa-Guang;Park, Seung-Kyu;Yoon, Tae-Sung;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.865-871
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    • 2009
  • In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.

Control of Three-Phase Four-Wire Dynamic Voltage Restorers Using Feedback Linearization (궤환선형화 기법을 이용한 3상 4선식 동적전압보상기의 제어)

  • Jeong, Seon-Yeong;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2013.07a
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    • pp.499-500
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    • 2013
  • 본 논문은 계통전압의 순간전압 강하시 궤환선형화 기법을 이용한 3상 4선식 동적전압보상기의 제어 알고리즘을 제안한다. 궤환선형화 기법은 시스템의 비선형성을 제거하여 우수한 동특성을 얻을 수 있다. 제안된 제어기법은 시뮬레이션을 통하여 그 타당성이 입증된다.

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Feedback Linearization Control of PWM Converters with LCL Input Filters (LCL 입력 필터를 갖는 PWM 컨버터의 궤환 선형화 제어)

  • Kim, Dong-Eok;Jang, Suk-Ho;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.277-279
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    • 2007
  • 본 논문에서는 댐핑저항을 사용하지 않고 LCL필터를 사용한 AC/DC PWM 컨버터를 제어하기 위해 다중 구조의 궤환 선형화 제어 알고리즘을 제안한다. 일반 궤환선형화와는 달리 다중구조를 지니므로 컨버터 입력전류의 제한이 가능하다는 장점을 지닌다. 전원전압과 전원전류를 추정하기 위해 추정기가 사용되며 시뮬레이션을 통해 제안된 제어기의 성능이 검증된다.

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Feedback Linearization of an Electro-Hydraulic Velocity Control System and the Implementation of the Digital State Feedback Controller (전기유압 속도제어 시스템의 궤환 선형화 및 이에 대한 디지틀 상태 궤환 제어의 구현)

  • 김영준;장효환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1036-1055
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    • 1992
  • In this paper the feedback linearization of the valve-controlled nonlinear hydraulic velocity control system and the implementation of the digital state feedback controller is studied. The $C^{\infty}$ nonlinear transfomation to the electro-hydraulic velocity control system, which transforms nonlinear system to linear equivalent one, is obtained. It is shown that this transformation is global one. The digital controller to this linearized model is obtained by using the one-step ahead state estimator and implemented to real plant. The proposed implementation method is easier than the other proposed methods and it is possible to control in real time. The experiment and simulation study show that the implementation of the digital state feedback controller based on the feedback linearized model is successful..

Nonlinear feedback control by using intelligent algorithm (지능알고리즘을 이용한 비선형 궤환제어에 관한 연구)

  • Ko, Chang-Min;Park, Seung-Kyu;Yoon, Tae-Seong
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1732-1733
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    • 2007
  • 본 연구는 지능알고리즘을 이용하여 비선형궤환을 구현하여 비선형시스템을 선형제어이론으로 제어할 수 있는 가능성을 제시한다. 기존의 비선형 궤환 선형화 이론은 비선형계통에 대한 정확한 모델링을 바탕으로 선형화기법을 적용하여 선형제어이론의 적용을 가능케 하는 것이었으나 본연구는 가상의 선형시스템과 SVM을 사용하여 동특성을 알려지지 않은 계통에 대해서도 적용시킬 수 있는 비선형 궤환선형화 기법의 가능성을 제공한다.

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Feedback Linearization Control of PWM Converters with LCL Input Filters (LCL 입력 필터를 갖는 PWM 컨버터의 궤환 선형화 제어)

  • Kim, Dong-Eok;Lee, Dong-Choon;Kim, Heung-Geun
    • The Transactions of the Korean Institute of Power Electronics
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    • v.13 no.1
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    • pp.55-62
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    • 2008
  • This paper proposes a feedback linearization control scheme of AC/DC PWM converters with LCL input filters using no damping resisters. This feedback linearization scheme can eliminate the non-linearity of the system. So, the controller of the system can be designed by using linear control theory, which gives a good transient response. The cascade structure of the controller makes the converter current be controlled within a certain limit. To reduce the number of sensors, the source voltage and current is estimated. The validity of the proposed control algorithm is verified by simulation and experimental results.

The Experiment on PID Controller and State Feedback Controller using Rotational Inverted Pendulum (회전형 도립진자를 이용한 PID 제어기와 상태궤환 제어기의 선형제어 실험)

  • Jang, Hyeon-Seok;Lee, Kwon-Soon
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.35-36
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    • 2011
  • 본 논문은 불안정한 비선형시스템의 대표적인 플랜트인 도립진자를 이용하여, 비선형시스템의 선형화된 모델링에서 PID제어기와 상태궤환제어기의 제어역할을 연구한다. 우선 선형화시스템에서의 제어기를 구성한 후 회전형 도립진자를 모델링한다. 회전형 도립진자의 모델링은 실린더의 관성모멘트와 진자의 회전중심에 대한 모멘트의 관계를 토크를 기준으로 비선형 동적방정식 형태로 정리한다. 정리된 방정식을 선형화하여 컴퓨터 시뮬레이션을 통해 PID제어기와 상태궤환제어기의 제어특징과 성능을 비교 및 연구한다. 테스트용 회전형 도립진자를 이용하여 위에서 구성된 제어기로 제어가능한지 실험한다. 테스트용 회전형도립진자는 RealSYS사의 리얼시스 DSP Inverted Pendulum 2005년 생산품으로 실험한다.

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Trajectory Tracking Control of Mobile Robot using Multi-input T-S Fuzzy Feedback Linearization (다중 입력 T-S 퍼지 궤환 선형화 기법을 이용한 이동로봇의 궤도 추적 제어)

  • Hwang, Keun-Woo;Kim, Hyeon-Woo;Park, Seung-Kyu;Kwak, Gun-Pyong;Ahn, Ho-Kyun;Yoon, Tae-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.7
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    • pp.1447-1456
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    • 2011
  • In this paper, we propose a T-S fuzzy feedback linearization method for controlling a non-linear system with multi-input, and the method is applied for trajectory tracking control of wheeled mobile robot. First, an error dynamic equation of wheeled mobile robot is represented by a T-S fuzzy model, and then the T-S fuzzy model is transformed to a linear control system through the nonlinear fuzzy coordinate change and the nonlinear state feedback input. Simulation results showed that the trajectory tracking controller by using the proposed multi-input feedback linearization method gives better performance than the trajectory tracking controller by using the PDC(Parallel Distributed Compensation) method for controlling the T-S Fuzzy system.

Leaderless Formation Control Strategy and Stability Analysis for Multiple UAVs (리더가 없는 방식의 다수 무인기 편대비행 제어와 안정성 해석)

  • Seo, Joong-Bo;Ahn, Chae-Ick;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.10
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    • pp.988-995
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    • 2008
  • A consensus-based feedback linearization method is proposed to maintain a specified time-varying geometric configuration for formation flying of multiple autonomous vehicles. In this approach, there exists no explicit leader in the team, and the proposed control strategy requires only the local neighbor-to-neighbor information between vehicles. The information flow topology between the vehicles is defined by Graph Laplacian matrix, and the formation flying can be achieved by the proposed feedback linearization with consensus algorithm. The stability analysis of the proposed controller is also performed via eigenvalue analysis for the closed-looop system. Numerical simulation is performed for rotary-wing type micro aerial vehicles to validate the performance of the proposed controller.

The Control of Inverted Pendulum System Using Approximated Nonlinear Feedback Linearization (근사 비선형 궤환 선형화를 이용한 도립 진자 계통의 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.372-384
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    • 1993
  • The inverted pendulum system has interesting and challenging problems related to robotics and rocket attitude control view of both control theory and applications. Generally approximately linearized plant models are employed to control the system. In this paper a recently developed control theory based on differentiable manifold theory is used to control the inverted pendulum system which is typically nonlinear. First, the nonlinear model is transformed into the approximate feedback linearized system by nonlinear state feedback. Secondly, the linear controller is designed using the pole-placement method for the approximate feedback linearized plant model, the output of which are finally inverse-transformed to yield the control input to the actual system of the inverted pendulum. The proposed method is evaluated by the computer simulation to compare with the 3rd order linearization model.

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