• Title/Summary/Keyword: linearization error

Search Result 140, Processing Time 0.026 seconds

Robust ILQ controller design of hot strip mill looper system

  • Kim, Seong-Bae;Hwang, I-Cheol
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.75.5-75
    • /
    • 2001
  • In this paper, we study design of a ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between stands plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. A Looper servo controller is designed by ILQ control theory which is an inverse problem of LQ(Linear Quadratic optimal control) control. The mathematical model for looper system is obtained by Taylor´s linearization of nonlinear differential equations. Then we designed linear controller for linearization model by using the ILQ control algorithm. Thereafter this controller is applied to the nonlinear model for model identification. As a result, we show the controller´s robustness for the model error, external disturbance and sensor noise.

  • PDF

Tiltrotor Attitude Control Using L1 Adaptive Controller (L1 적응제어기법을 이용한 틸트로터기의 자세제어)

  • Kim, Nak-Wan;Kim, Byoung-Soo;Yoo, Chang-Sun;Kang, Young-Sin
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.14 no.12
    • /
    • pp.1226-1231
    • /
    • 2008
  • A design of attitude controller for a tiltrotor is presented augmenting L1 adaptive control, neural networks, and feedback linearization. The neural networks compensate for the modeling error caused by the lack of knowledge of tiltrotor dynamics while the L1 adaptive control allows high adaptation gains in adaptation laws thereby, satisfying tracking performance requirement. The efficacy of this control methodology is illustrated in high-fidelity nonlinear simulation of a tiltrotor by flying the tiltrotor in different flight modes from where the L1 adaptive controller with neural networks is originally designed for.

Quasi-linearization of non-linear systems under random vibration by probablistic method (확률론 방법에 의한 불규칙 진동 비선형 계의 준선형화)

  • Lee, Sin-Young;Cai, G.Q.
    • Proceedings of the KSME Conference
    • /
    • 2008.11a
    • /
    • pp.785-790
    • /
    • 2008
  • Vibration of a non-linear system under random parametric excitations was evaluated by probablistic methods. The non-linear characteristic terms of a system were quasi-linearized and excitation terms were remained as they were given. An analytical method where the square mean of error was minimized was ysed. An alternative method was an energy method where the damping energy and rstoring energy of the linearized system were equalized to those of the original non-linear system. The numerical results were compared with those obtained by Monte Carlo simulation. The comparison showed the results obtained by Monte Carlo simulation located between those by the analytical method and those by the energy method.

  • PDF

Development of a Linearized Model and Verification of the Exact Solution for the Analysis of a Desiccant Dehumidifier (제습기 성능분석을 위한 선형화 모델 및 해석해의 검증)

  • 이길봉;이대영;김민수
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.16 no.9
    • /
    • pp.811-819
    • /
    • 2004
  • A silica gel desiccant dehumidifier is studied theoretically in this paper adopting several linearization assumptions. The governing equations are linearized with the assumptions, and the exact solutions to the temperature and the humidity ratio are obtained. In spite of the assumptions, the theoretical results are found to agree well with those from the numerical analysis without any assumption. In typical operation ranges of the desiccant dehumidifier, the time-averaged errors in the process air temperature and humidity ratio are less than 4% and 7%, respectively, and the corresponding root-mean-square values are less than 5% and 15%, respectively The analytical solutions are expected to contribute to the fundamental understanding of the dehumidification and regeneration processes and the correlation analysis of the numerous parameters influencing the dehumidifier operation.

Stability Proof of NFL-$H_\infty$-based SMC : Part 8 (NFL-$H_\infty$에 기준한 SMC의 안정도 증명 : Part 8)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
    • /
    • 1998.07c
    • /
    • pp.994-996
    • /
    • 1998
  • In this paper, the standard Dole, Glover, Khargoneker, and Francis (abbr. : DGKF 1989) $H_{\infty}$ controller $(H_{\infty}C)$ is extended to the nonlinear feedback linearization-$H_\infty$-based sliding mode controller (NFL-$H_\infty$-based SMC). A stability proof of the closed-loop stability is done by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

  • PDF

Feedback linearization control of a nonlinear system using genetic algorithms and fuzzy logic system (유전 알고리듬과 퍼지논리 시스템을 이용한 비선형 시스템의 피드백 선형화 제어)

  • 최영길;김성현;심귀보;전홍태
    • Journal of the Korean Institute of Telematics and Electronics S
    • /
    • v.34S no.3
    • /
    • pp.46-54
    • /
    • 1997
  • In this paper, we psropose the feedback linearization technique for a nonlinear system using genetic algorithms (GAs) and fuzzy logic system. The proposed control scheme approximates the nonlinear term of a nonlinear system using the fuzzy logic system and computes the control input for cancelling the nonlinear term. Then in the fuzzy logic system, the number and shape of membership function of the premise aprt will be tuned to minimize the control error boundary using GAs. And the parameters of the consequence of fuzzy rule will be tuned by the adaptive laws based on lyapunov stability theory in order to guarantee the closed loop stability of control system. The evolution of fuzzy logic system is processed during the on-line adaptive control. The effectiveness of proposed method will be demonstrated by computer simulation of simple nonlinear sytem.

  • PDF

Design of LFT-Based T-S Fuzzy Controller for Model-Following using LMIs (선형 행렬부등식과 분해법을 이용한 퍼지제어기 설계)

  • 손홍엽;이희진;조영완;김은태;박민용
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1998.10a
    • /
    • pp.123-128
    • /
    • 1998
  • This paper proposes design of LFT-based fuzzy controllers for model-following, which are better than the previous input-output linearization controllers, which are not able to follow the model system states and which do not guarantee the stability of all states. The method proposed in this paper provides a LFT-based Takagi-Sugeno(T-S) fuzzy controller with guaranteed stability and model-following via the following steps: First, using LFT(Linear Fractional Transformation) and T-S fuzzy model, controllers, are obtained. Next, error dynamics are obtained for model-following, and errors go to 0(zero). Finally, a T-s fuzzy controller that can stabilizxe the system with the requirement on the control input satisfied is obtained by solving the LMIs with the MATLAB LMI Control Toolbox and a model-following controller is obtained. Simulations are performed for the LFT-based T-S fuzzy controller designed by the proposed method, which show better performance than the results of input-out ut linearization controller.

  • PDF

Nonlinear Sensorless Control of Indution Motor by using Feedback Linearization and Current Error (궤환 선형화 및 전류오차를 이용한 유도전동기 비선형 센서리스제어)

  • Seo Kang-Sung;Jeong Sam-Yong;Jung Byung-Ho;Lee Kang-Youn;Cho Geum-Bae;Baek Hyung-Lae
    • Proceedings of the KIPE Conference
    • /
    • 2001.07a
    • /
    • pp.272-275
    • /
    • 2001
  • In this paper, author consider the nonlinear control by using feedback linearization for independent control and estimation algorithm such as speed, rotor flux and rotor resistance to achieve sensorless control of induction motor. The dynamic characteristics of the proposed nonlinear control algorithm is verified by simulation.

  • PDF

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
    • /
    • v.15 no.7
    • /
    • pp.1447-1456
    • /
    • 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.