• Title/Summary/Keyword: 자코비안 선형화

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Switching Control of Electromagnetic Levitation System based on Jacobian Linearization and Input-Output Feedback Linearization (자코비안 선형화 및 입-출력 궤환 선형화에 기반한 자기 부상 시스템의 스위칭 제어)

  • Jeong, Min-Gil;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.4
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    • pp.578-585
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    • 2015
  • Electromagnetic levitation system(EMLS) is one of the well known nonlinear systems. Often, it is not easy to control an EMLS due to its high nonlinearity. In this paper, we first apply two linearization method(jacobian and input-output feedback linearization) to design two feedback controllers for an EMLS. Then, by observing the advantages of each controller, we design a switching control algorithm which engage two controllers depending on the position of the steel ball in order to achieve the improved performance over each controller. The validity of our switching control approach is verified via both simulation and actual experimental results.

The Output Feedback Control of Inverted Pendulum Systems for The Verification of Practical Use of Linear State Observers (선형 상태 관측기의 실용화 검증을 위한 도립진자 시스템의 출력 피드백 제어 실험)

  • Lee, Jong-Yeon;Cho, Kyu-Jung;Hyun, Chang-Ho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.2
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    • pp.192-197
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    • 2011
  • In this paper, the output feedback control of inverted pendulum systems is experimented for the practicality verification of the linear state observer. For the experiment, a pendulum system, CEM-IP-01 of Cemware Inc. is used and Lagrange equation and Jacobian linearization are adopted for the dynamic analysis of the pendulum system. In addition, the output responses of the state feedback control and the output feedback control of the pendulum system are compared before the experiment by Matlab. Finally, we directly verify the practical use of the linear state observer by recognizing and solving some real problem to control the inverted pendulum system in practice.

Control of Underactuated Unstable Mechanical System Using Dynamic Scaling (다이나믹 스케일링을 이용한 과소 작동 불안정 기계 시스템의 제어)

  • Seo, Sang-Bo;Shim, Hyung-Bo;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1777-1778
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    • 2008
  • 이 논문에서는 자유도보다 엑츄에이터가 부족한 과소 작동 기계 시스템의 지수적 안정을 보장하는 다이나믹 제어기법을 제시한다. 이 시스템의 원점에 대한 자코비안 선형화는 제어불능이므로 기존의 시불변 상태궤환 기법으로 안정화가 불가능하다는 특징을 가지고 있다. 이 논문에서는 추가 다이나믹스를 이용한 다이나믹 스케일링 기법과 수정된 역진 기법을 사용하여 제어목적을 달성한다.

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Stability Analysis of TSK Fuzzy Systems (TSK퍼지 시스템의 안정도 해석)

  • 강근택;이원창
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.4
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    • pp.53-61
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    • 1998
  • This paper describes the stability analysis of TSK (Takagi-Sugeno-Kang) fuzzy systems which can represent a large class of nonlinear systems with good accuracy. A TSK fuzzy model consists of TSK fuzzy rules and the consequent of each fuzzy rule is a linear input-output equation with a constant term. There may exist equilibrium points more than one in the TSK fuzzy model and each equilibrium point rnay also have different nature of stability. The local stability of an equilibrium point is determined by eigenvalues of the Jacobian matrix of the linearized TSK fuzzy model around the equilibrium point. Stability of both the continuous-time and the discrete-time systems is analyzed in this paper.

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Switching Control of Ball and Beam System using Partial State Feedback: Jacobian and Two-Step Linearization Methods (자코비안 및 2단 선형화 기법과 부분 상태궤환을 이용한 볼-빔 시스템의 스위칭 제어)

  • Lee, Kyung-Tae;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.819-832
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    • 2017
  • We propose a new switching control scheme for a ball and beam system by utilizing two linearization methods. First, the Jacobian linearization is applied and state observer is developed afterward. Then, motivated [6], the approximate input-output linearization is carried out, and after that, the Jacobian linearization is applied along with the design of state observer. Since the second approach requires two linearizations, it is called a two-step linearization method. The state observer is needed for the estimation of the velocities of ball and motor movement. Since the Jacobian linearization based controller tends to provide faster response at the initial time, and after that, the two-step linearization based controller tends to provide better response in terms of output overshoot and convergence to the origin, it is natural to give a switching control scheme to provide the best overall control response. The validity of our control scheme is shown in both simulation and experimental results.

The Performance Verification of Optimal State Feedback Controllers via The Inverted Pendulum (도립진자 시스템을 통한 최적 상태 되먹임 제어기의 성능 검증)

  • Lee, Jong-Yeon;Lee, Bo-Ra;Hyun, Chang-Ho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.768-773
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    • 2010
  • This paper presents the performance verification of the optimal state feedback controller via inverted pendulum systems. The proposed method generates the optimal control inputs satisfying both the constrained input and the performance specification. In addition, it reduces the steady-state error by adopting the integral control technique. In order to verify the performance of the proposed method, we apply both the proposed method and the general state feedback control to an inverted pendulum, CEM-IP-01 in the experiment.