Unit Step Response

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L B Xie - One of the best experts on this subject based on the ideXlab platform.

  • digital decoupling controller design for multiple time delay continuous time transfer function matrices
    International Journal of Systems Science, 2015
    Co-Authors: L B Xie, Leangsan Shieh, Jason Sheng Hong Tsai
    Abstract:

    This paper presents an extended adjoint decoupling method to conduct the digital decoupling controller design for the continuous-time transfer function matrices with multiple (integer/fractional) time delays in both the denominator and the numerator matrix. First, based on the sampled Unit-Step Response data of the afore-mentioned multiple time-delay system, the conventional balanced model-reduction method is utilised to construct an approximated discrete-time model of the original (known/unknown) multiple time-delay continuous-time transfer function matrix. Then, a digital decoupling controller is designed by utilising the extended adjoint decoupling method together with the conventional discrete-time root-locus method. An illustrative example is given to demonstrate the effectiveness of the proposed method.

  • design of decoupling and tracking controllers for continuous time transfer function matrices with multiple time delays
    Journal of Process Control, 2014
    Co-Authors: L B Xie, Leangsan Shieh, F Pan, Jason Shenghon Tsai, Jose I Canelon
    Abstract:

    Abstract This paper presents an extended adjoint decoupling method together with a reference model-based sliding mode tracking method, to design a decoupling and tracking controller for continuous-time transfer function matrices with multiple (integer/fractional) time delays in both denominators and numerators. First, for obtaining the diagonally decoupled subsystems, a decoupler is designed by utilizing the extended adjoint decoupling method. Then, by using sampled data from the Unit-Step Response of the decoupled subsystems, the conventional balanced model-reduction method is carried out to obtain the approximated delay-free/single-delay continuous-time models for the decoupled subsystems with multiple time delays. For the integral of time multiplied by absolute error (ITAE) reference model tracking, a chain observer is designed to establish the virtual estimated states for the decoupled subsystems by utilizing the obtained approximated continuous-time models. At last, we develop a sliding mode tracking controller together with a disturbance observer (DOB), to achieve reference model tracking and disturbance rejection. Illustrative examples are given to demonstrate the effectiveness of the proposed method.

Waldemar Minkina - One of the best experts on this subject based on the ideXlab platform.

  • theoretical and experimental identification of the temperature sensor Unit Step Response non linearity during air temperature measurement
    Sensors and Actuators A-physical, 1999
    Co-Authors: Waldemar Minkina
    Abstract:

    Abstract Thermometer Step Responses obtained from high temperature measurement resemble, at first sight, Step Responses of an exponential low-pass filter of a first-order. For this reason, they are described by many authors by a transfer function. This assumption is correct only in case when a thermometer works in a range of small temperature variations, i.e., 20–30 K. For greater temperature changes, it is necessary to create non-linear models. An identification of the nature of non-linear heat transfer process during thermocouple Unit Step Response measurement in air medium is presented. The necessity of creation of non-linear models of thermocouple is motivated. This is connected with the dependence of heat parameters of materials, from which a thermocouple is constructed, on the temperature. The initial prognosis of the nature of non-linearity of heat transfer due to mathematical dependencies (clear radiation) and criterial equations is carried out. The non-linearity of the model is indicated by the parabolic or exponential dependence of time constant on temperature. The experimental results confirming theoretical solutions are also presented. On the basis of the material presented in this publication, which relates to the theoretical prediction of the non-linearity character of the thermometer Step Responses as recorded during the measurement of air temperature, it can be stated that the time constant value generally decreases with temperature. The last statement is also confirmed by the results of our own experimental studies, and the results of studies carried out by other authors.

  • theoretical and experimental identification of the temperature sensor Unit Step Response non linearity during air temperature measurement
    Gas Wärme international, 1999
    Co-Authors: Waldemar Minkina
    Abstract:

    Cet expose presente l'identification du caractere non lineaire du processus de transfert de chaleur pendant l'enregistrement d'evolution de la courbe de reponse caracteristique d'une sonde de temperature situee dans le flux du milieu a mesurer, En premier lieu il est indispensable d'utiliser des modeles non lineaires pour pouvoir decrire la dynamique des sondes. Ce phenomene est lie a l'influence de la temperature sur les parametres de temperature des materiaux de constitution des sondes. En raison des relations mathematiques (rayonnement pur) et des parametres d'equations on etablira une identification provisoire du caractere non lineaire du processus de transmission thermique. Ensuite on representera les resultats d'essai tendant a confirmer les hypotheses theoriques.

Leangsan Shieh - One of the best experts on this subject based on the ideXlab platform.

  • digital decoupling controller design for multiple time delay continuous time transfer function matrices
    International Journal of Systems Science, 2015
    Co-Authors: L B Xie, Leangsan Shieh, Jason Sheng Hong Tsai
    Abstract:

    This paper presents an extended adjoint decoupling method to conduct the digital decoupling controller design for the continuous-time transfer function matrices with multiple (integer/fractional) time delays in both the denominator and the numerator matrix. First, based on the sampled Unit-Step Response data of the afore-mentioned multiple time-delay system, the conventional balanced model-reduction method is utilised to construct an approximated discrete-time model of the original (known/unknown) multiple time-delay continuous-time transfer function matrix. Then, a digital decoupling controller is designed by utilising the extended adjoint decoupling method together with the conventional discrete-time root-locus method. An illustrative example is given to demonstrate the effectiveness of the proposed method.

  • design of decoupling and tracking controllers for continuous time transfer function matrices with multiple time delays
    Journal of Process Control, 2014
    Co-Authors: L B Xie, Leangsan Shieh, F Pan, Jason Shenghon Tsai, Jose I Canelon
    Abstract:

    Abstract This paper presents an extended adjoint decoupling method together with a reference model-based sliding mode tracking method, to design a decoupling and tracking controller for continuous-time transfer function matrices with multiple (integer/fractional) time delays in both denominators and numerators. First, for obtaining the diagonally decoupled subsystems, a decoupler is designed by utilizing the extended adjoint decoupling method. Then, by using sampled data from the Unit-Step Response of the decoupled subsystems, the conventional balanced model-reduction method is carried out to obtain the approximated delay-free/single-delay continuous-time models for the decoupled subsystems with multiple time delays. For the integral of time multiplied by absolute error (ITAE) reference model tracking, a chain observer is designed to establish the virtual estimated states for the decoupled subsystems by utilizing the obtained approximated continuous-time models. At last, we develop a sliding mode tracking controller together with a disturbance observer (DOB), to achieve reference model tracking and disturbance rejection. Illustrative examples are given to demonstrate the effectiveness of the proposed method.

Jason Sheng Hong Tsai - One of the best experts on this subject based on the ideXlab platform.

  • digital decoupling controller design for multiple time delay continuous time transfer function matrices
    International Journal of Systems Science, 2015
    Co-Authors: L B Xie, Leangsan Shieh, Jason Sheng Hong Tsai
    Abstract:

    This paper presents an extended adjoint decoupling method to conduct the digital decoupling controller design for the continuous-time transfer function matrices with multiple (integer/fractional) time delays in both the denominator and the numerator matrix. First, based on the sampled Unit-Step Response data of the afore-mentioned multiple time-delay system, the conventional balanced model-reduction method is utilised to construct an approximated discrete-time model of the original (known/unknown) multiple time-delay continuous-time transfer function matrix. Then, a digital decoupling controller is designed by utilising the extended adjoint decoupling method together with the conventional discrete-time root-locus method. An illustrative example is given to demonstrate the effectiveness of the proposed method.

Jose I Canelon - One of the best experts on this subject based on the ideXlab platform.

  • design of decoupling and tracking controllers for continuous time transfer function matrices with multiple time delays
    Journal of Process Control, 2014
    Co-Authors: L B Xie, Leangsan Shieh, F Pan, Jason Shenghon Tsai, Jose I Canelon
    Abstract:

    Abstract This paper presents an extended adjoint decoupling method together with a reference model-based sliding mode tracking method, to design a decoupling and tracking controller for continuous-time transfer function matrices with multiple (integer/fractional) time delays in both denominators and numerators. First, for obtaining the diagonally decoupled subsystems, a decoupler is designed by utilizing the extended adjoint decoupling method. Then, by using sampled data from the Unit-Step Response of the decoupled subsystems, the conventional balanced model-reduction method is carried out to obtain the approximated delay-free/single-delay continuous-time models for the decoupled subsystems with multiple time delays. For the integral of time multiplied by absolute error (ITAE) reference model tracking, a chain observer is designed to establish the virtual estimated states for the decoupled subsystems by utilizing the obtained approximated continuous-time models. At last, we develop a sliding mode tracking controller together with a disturbance observer (DOB), to achieve reference model tracking and disturbance rejection. Illustrative examples are given to demonstrate the effectiveness of the proposed method.