• Title/Summary/Keyword: Exact linearization

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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
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    • v.16 no.9
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    • pp.811-819
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    • 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.

AN APPROXIMATE ALTERNATING LINEARIZATION DECOMPOSITION METHOD

  • Li, Dan;Pang, Li-Ping;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1249-1262
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    • 2010
  • An approximate alternating linearization decomposition method, for minimizing the sum of two convex functions with some separable structures, is presented in this paper. It can be viewed as an extension of the method with exact solutions proposed by Kiwiel, Rosa and Ruszczynski(1999). In this paper we use inexact optimal solutions instead of the exact ones that are not easily computed to construct the linear models and get the inexact solutions of both subproblems, and also we prove that the inexact optimal solution tends to proximal point, i.e., the inexact optimal solution tends to optimal solution.

Approximation method of nonlinear control system by linearization (비선형제어계의 선형화에 의한 근사해의 연구)

  • 양흥석;김경기
    • 전기의세계
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    • v.22 no.1
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    • pp.28-34
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    • 1973
  • This paper treats with the sub-optimal control problem of noninear systems by approximation method. This method involves the approximation by linearization which provides the sub-optimal solution of non-linear control problems. The result of this work shows that, in the problem in which the controlled plant is characterized by an ordinary differential equation of first order, the solution obtained by this method coincides with the exact solution of problem. In of case of the second or higher order systems, it is proved analytically that this method of linearization produces the sub-optimal solution of the given problem. It is also shown that the sub-optimality of solution by the method can be evaluated by introducing the upper and lower bounded performance indices. Discussion is made on the procedure with some illustrative examples whose performance indices are given in the quadratic forms.

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Comparison of PID and Feedback Linearization Control for Magnetic Levitation System (자기부상 시스템의 PID 제어와 Feedback Linearization 제어와의 성능비교)

  • 박종석;김동환
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.263-263
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    • 2000
  • Electromagnetic Suspension(EMS) System produces no noise, friction and heat through non-contacting operation Therefore, the applicable device using EMS system has a lot of attraction in case of the high-speed and non-contacting transmission EMS with nonlinear properties requires a precise airgap position control and stable kinematics characteristics under the disturbances, In this study, the nonlinear system was linearized by a Nonlinear Feedback Lineariztion(NFL) method. The NFL method requires that the modelling should be exact, and the state variables should be measured and a rapidly operating controller be necessary on account of a heavy data calculating In the experiments. the ideal control characteristics of the NFL was acquired through simulation at first. then the characteristics of the actual system were compared with those of simulation. In addition, the results by NFL were examined and analysed considering the characteristics of the PID control. The Control by NFL shows much stable control characteristics than the PID control. Whereas, the steady state errors occur for various disturbances. hence a robust control design is remained for a further study.

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Shifting Controller Design via Exact Feedback Linearization of a Spherical Continuously Variable Transmission (구체무단변속기의 비선형 피드백제어기 설계)

  • Kim, Jung-Yun;Kim, Kye-Ree;Park, Yeong-Il;Park, Chong-Woo;Lee, Jang-Moo
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.110-115
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    • 2001
  • The spherical CVT, intended to overcome some of the limitations of existing CVT designs, is marked by its simple kinematic design, improved efficiency of the shift actuator, and IVT characteristics, i.e., the ability of smooth transition between the forward, neutral, and reverse states without the need for any brakes or clutches. And it has been promised much possibility of energy savings and various applications for small power capacity machinery. Due to the nonlinearity of the spherical CVT shifting dynamics, however the original open-loop system is inherently unstable. Hence a feedback controller is necessary to make the system stable and to achieve effective tracking performance. To do this, we designed a feedback controller that cancels nonlinearities and transforms the original nonlinear system dynamics into a stable and controllable linear one, based on the input-state linearization method.

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A Development Of The Portable Spirometry System Of Pressure Method Using Static Pressure In Pitot Tube (개구관에서의 정체압을 이용한 차동 압력 방식의 휴대형 호흡측정 시스템 개발)

  • 이종수;신창민;김영길
    • Journal of Biomedical Engineering Research
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    • v.22 no.6
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    • pp.479-486
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    • 2001
  • Spirometer is a medical equipment which diagnoses respiratory function by measuring 9as volume across Patient's lunes through airway. Because a little overdose of anesthesia medicine can take away Patient's life in the ventilator for a surgical operation. an exact measurement of respiring volume is very important. This Paper Presented an exact flow volume calculation method from factors having an influence on measurement and introduced a spirometry system for an anesthesia ventilato. This system, using differential Pressure sensor measured flow by mutual relation with Pressure. temperature. gas density and linearization from the 2nd order characteristics of differential pressure with flow.

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Torque Trajectory Control of Interior PM Synchronous Motor Using Adaptive Input-Output Linearization Technique (적응 입출력 선형화 제어 기법을 이용한 매입형 영구 자석 동기 전동기의 토오크 궤적 제어)

  • Kim, Kyeong-Hwa;Baik, In-Cheol;Kim, Hyun-Soo;Moon, Gun-Woo;Youn, Myung-Joong
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.578-581
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    • 1996
  • A torque trajectory control of the IPM synchronous motor using an adaptive input-output linearization technique is proposed. The input-output linearization is performed using the estimated torque output with the knowledge of machine parameters. The linearized model gives the output torque error under the variation of the flux linkage. To give a good torque tracking in the presence of the flux linkage variation, the flux linkage will be estimated where the adaptation law h derived by the Popov's hyperstability theory and the positivity concept. This estimated value is also used for the generation of the d-axis current command for the maximum torque control. Thus, a good torque tracking and the exact maximum torque-per-current operation will be obtained.

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Satellite Orbit Determination using the Particle Filter

  • Kim, Young-Rok;Park, Sang-Young
    • Bulletin of the Korean Space Science Society
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    • 2011.04a
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    • pp.25.4-25.4
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    • 2011
  • Various estimation methods based on Kalman filter have been applied to the real-time satellite orbit determination. The most popular method is the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF). The EKF is easy to implement and to use on orbit determination problem. However, the linearization process of the EKF can cause unstable solutions if the problem has the inaccurate reference orbit, sparse or insufficient observations. In this case, the UKF can be a good alternative because it does not contain linearization process. However, because both methods are based on Gaussian assumption, performance of estimation can become worse when the distribution of state parameters and process/measurement noise are non-Gaussian. In nonlinear/non-Gaussian problems the particle filter which is based on sequential Monte Carlo methods can guarantee more exact estimation results. This study develops and tests the particle filter for satellite orbit determination. The particle filter can be more effective methods for satellite orbit determination in nonlinear/non-Gaussian environment.

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Two-Stage Control of a Container Crane: Time Optimal Travelling and Nonlinear Residual Sway Control

  • Hong, Keum-Shik;Park, Bae-Jeong;Lee, Man-Hyung
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 1998.10a
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    • pp.159-165
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    • 1998
  • In this paper the sway-control problem of a container crane is investigated. The control loop is divided into two stages. The first stage is a modified time optimal control for trolley traversing. The velocity command for trolley traversing consists of three components ; a reference velocity and two feedback signals for compensating the deviations of trolley and sway angle from their desired trajectories. For trolley's exact positioning the trolley dynamics is identified via an error equation identifier structure. The second stage is a nonlinear residual sway control that starts at the end of first stage. The control design for the second stage is investigated from the perspective of controling an underactuated system, and the control law combines the feedback linearization and variable structure control.

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A Suboptimal Estimator Design for Discrete Nonlinear Systems (이산 비선형시스템에서의 준최적추정자)

  • 이연석;이장규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.9
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    • pp.929-936
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    • 1991
  • An estimator for a discrete nonlinear system is derived in the sense of minimum mean square error. An optimal estimator for nonlinear system is very difficult to find and it will be infinite dimensional even if it is found. It has been known that the statistical linearization technique makes it possible to obtain a finite dimensional estimator. In this paper, the procedure of its derivation using the statistical linearization technique that gives an exact mean and variance information is introduced in the sense of minimum mean square error. The derived estimator cannot be clainmed to be globally optimal estimator because it uses the Gaussian assumption to the non-Gaussian distributed nonlinear output. However, the proposed filter exhibits a better performance compared to extended Kalman filter. Simulation results of a simple example present the improvement of the proposed filter in convergent property over the extended Kalman filter.

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