• Title/Summary/Keyword: Nonlinear feedback linearization

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Linearization of the Nonlinear Control Systems (비선형 제어 시스템의 선형화)

  • 이홍기
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.9
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    • pp.651-657
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    • 2003
  • Linearization is one of the most successful approaches nonlinear system control. The objective of this paper is to survey the recent results in linearization theory. It is hoped to be useful in understanding various linearization problems and challenging unsolved problems.

Linearization of Nonlinear Control Systems using a Restricted Class of Dynamic Feedback (비선형 시스템의 제한된 dynamic feedback 을 사용한 선형화)

  • 이홍기;전홍태
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.8
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    • pp.47-56
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    • 1994
  • The dynamic feedback is well-known to be much more powerful tool in control than the static one. This paper deals with the dynamic feedback linearization of the nonlinear systems which are not (static) feedback linearizable. The dynamic feedback linearization problem is however too difficult to solve at momemt. Thus we introduce a restricted class of the dynamic feedback (pure integrators followed by the static feedback) which is often used to study the problems using dynamic feedback and obtain the necessary and sufficient conditions of the linearization problem using this class of the dynamic feedback.

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Nonlinear Time-Varying Control Based on Differential Geometry

  • Lee, Jong-Yong;Jung, Kye-dong;Cho, Seongsoo;Strzelecki, Michat
    • International Journal of Internet, Broadcasting and Communication
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    • v.6 no.2
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    • pp.1-9
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    • 2014
  • This paper presents a study on nonlinear time varying systems based on differential geometry. A brief introduction about controllability and involutivity will be presented. As an example, the exact feedback linearization and the approximate feedback linearization are used in order to show some application examples.

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.

Feedback Linearization for the Looper System of Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.56.5-56
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    • 2002
  • This paper studies on the feedback linearization of the looper system for hot strip mills, where the looper system plays an important role in regulating the strip tension. Firstly, nonlinear dynamic equations of the looper system are simply introduced. Secondly, using the static feedback linearization algorithm, a linear model of the looper system is obtained, of which usefulness is validated from comparison between the linear model and the nonlinear model, and design of LQI(Linear Ouadratic Integral optimal control) and ILQ (Inverse Linear Quadratic optimal control) looper control systems. In result, it is shown that the linear looper model by the feedback linearization well describes nonlin...

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Feedback Linearization Control of Grid-Interactive PWM Converters with LCL Filters

  • Kim, Dong-Eok;Lee, Dong-Choon
    • Journal of Power Electronics
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    • v.9 no.2
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    • pp.288-299
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    • 2009
  • This paper proposes a feedback linearization control scheme of AC/DC PWM converters with LCL input filters using no damping resisters. Feedback linearization techniques use a transformation from nonlinear system models into equivalent linear models in a simpler form. The feedback linearization scheme in this work has cascade structures unlike usual feedback linearization, therefore it has an advantage that it is possible to limit the capacitor current to a certain level. The performance of the proposed controller is validated with simulation and experimental results.

Comparative Performance Evaluation of Nonlinear Controllers for Longitudinal Control in a Vehicle Platooning (군집주행의 종방향 제어를 위한 비선형 제어기 성능 비교 평가)

  • 전성민;최재원;김영호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.218-218
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    • 2000
  • Advanced Vehicle Control Systems(AVCS) is one of the key elements in Intelligent Transportation Systems(ITS). This paper considers the problem of longitudinal control in vehicle platoon on a straight lane of a highway. In a very simplified situation, longitudinal vehicle dynamics contains many nonlinear elements. The nonlinear characteristics are mainly composed of an engine, a torque converter, and a drag force. In this paper, sliding control, one of nonlinear control methods, is applied to longitudinal automated vehicle control for platooning. Output feedback linearization is also simulated for comparison with the sliding control. Simulations for comparative study for the adopted controllers such as sliding control and output feedback linearization are peformed under the same conditions. This Paper aims at clarifying the characteristics of sliding control and output feedback linearization.

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Implementation of DSP Controller for Levitation of EMS System using Nonlinear Feedback Linearization (비선형 궤환 선형화 기법을 사용한 자기부상 시스템의 DSP 제어기 구현)

  • Shim, Hyung-Bo;Joo, Sung-Jun;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.268-270
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    • 1993
  • The implementation of Nonlinear Feedback Linearization control for Electro-Magnetic Suspension system is presented. The controller using TMS320C31 DSP chip was proposed and the experiments were performed Control law for EMS system using feedback linearization is derived and implemented in the DSP. Some tests were constructed far experimental comparison between feedback linearization and classical state feedback The experimental results demonstrate that the feedback linearization controller shows bettor performance than that of the classical state feedback controller and it is robust with respect to disturbance and parameter variation, though some steady-state errors appear.

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Advanced Control of Three-Phase Four-Wire Inverters using Feedback Linearization under Unbalanced and Nonlinear Load Conditions (불평형 비선형 부하시 궤환선형화 기법을 이용한 3상 4선식 인버터의 제어 성능 개선)

  • Vo, Nguyen Qui Tu;Lee, Dong-Choon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.18 no.4
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    • pp.333-341
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    • 2013
  • In this paper, a feedback linearization control is proposed to regulate the output voltages of a three-phase four-wire inverter under the unbalanced and nonlinear load conditions. First, the nonlinear model of system including the output LC filters is derived in the d-q-0 synchronous reference frame. Then, the system is linearized by the multi-input multi-output feedback linearization. The tracking controllers for d-q-0-components of three-phase line-to-neutral load voltages are designed by linear control theory. The experimental results have shown that the proposed control method gives the good performance in response to the load conditions.

Control of Two-Link Manipulator Via Feedback Linearization and Constrained Model Based Predictive Control

  • Son, Won-Kee;Park, Jin-Young;Ryu, Hee-Seb;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.221-227
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    • 2000
  • This paper combines the constrained model predictive control with the feedback linearization to solve a nonlinear system control problem with input constraints. The combined approach consists of two steps: Firstly, the nonlinear model is linearized by the feedback linearization. Secondly, based on the linearized model, the constrained model predictive controller is designed taking input constraints into consideration. The proposed controller is applied to two link robot system, and tracking performances of the controller are investigated via some simulations, where the comparisons are done for the cases of unconstrained, constrained input in feedback linearization.

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