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Journal ArticleDOI

Closed-Loop Identification of Two-Input Two-Output Critically Damped Second-Order Systems with Delay

03 Apr 2017-Indian Chemical Engineer (Taylor & Francis)-Vol. 59, Iss: 2, pp 79-100
TL;DR: In this article, a closed-loop identification method is proposed for the identification of two-input two-output (TITO) critically damped second-order plus time delay (CSOPTD) systems.
Abstract: A closed-loop identification method is proposed for the identification of two-input two-output (TITO) critically damped second-order plus time delay (CSOPTD) systems. The method proposed by Dhanya Ram and Chidambaram [Closed Loop Reaction Curve Method for Identification of TITO Systems, IFAC Proceedings Volume IFAC – Paper On line, 3 (2014)] for the identification of first-order plus time delay model parameters of TITO systems is extended to identify CSOPTD parameters of a higher order model. The responses are compared with the response curve given by Clark [Control System Dynamics. Cambridge University Press (2005)] for a third-order system. From this, the values of K, τe and ζ for the closed-loop response are identified for the third-order system. The interactions are identified as third-order systems using an optimization method, as no standard method has been reported for the identification of the interactions. The initial guess values for this are obtained from the Yuwana and Seborg [“A New M...
Citations
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Proceedings ArticleDOI
01 May 2019
TL;DR: The Firefly Algorithm is used to design a decentralized PID controller for the TITO system to avoid the multidimensional non-linear problem that might be simply resolved by the firefly algorithm with greater convergence fastness and low calculus time.
Abstract: The present work uses the Firefly Algorithm (FA) to design a decentralized PID controller for the TITO system. Generally, the difficulty arises in TITO systems is that if any one of the input changes then it’s an adverse effect on both the output responses. therefore; it causes a peak overshoot and takes more time to settle. To overcome this drawback, a new objective function is introduced in this paper. Here Both the PID controller parameters are tuned at the same time to avoid the multidimensional non-linear problem that might be simply resolved by the firefly algorithm with greater convergence fastness and low calculus time. The proposed method is compared with direct synthesis methods in simulation, the study shows the convincingness of the proposed method performance. Measured performance indices are optimal, and the effect of one input to another output is also small with minimal peak overshoot.

6 citations


Cites methods from "Closed-Loop Identification of Two-I..."

  • ...In visioli [19], a BLT technique is used, and in Davison[20], a controller has obtained an underdamped response These controller parameters are placed as in Table V These two methods are compared with the proposed methodology that uses the firefly algorithm to obtain a simplified design of controller by minimization of the objective function as in (4)....

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  • ...In visioli [19], a BLT technique is used, and in Davison[20], a controller has obtained an underdamped response These controller parameters are placed as in Table V These two methods are compared with the proposed methodology that uses the firefly algorithm to obtain a simplified design of controller by minimization of the objective function as in (4)....

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References
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Journal ArticleDOI
01 Dec 1975
TL;DR: In this article, a robust feed-forward-feedback controller for an unknown plant so that asymptotic tracking, in the presence of disturbances, occurs is introduced. But the only assumptions made regarding the description of the plant model are that the plant is linear and time-invariant and the uncontrolled plant is stable.
Abstract: A new notion of compensator identification, as opposed to the conventional plant identification problem, is introduced in this paper. It is assumed that it is desired to synthesize a robust feedforward-feedback controller for an unknown plant so that asymptotic tracking, in the presence of disturbances, occurs. The only assumptions made regarding the description of the plant model are that 1) the plant is linear and time-invariant and 2) the uncontrolled plant is stable. Note that it is assumed that the order of the plant model is unknown. It is assumed that the control inputs to the plant can be excited, that the outputs of the plant which are desired to be regulated can be measured, and that the class of disturbance inputs and reference inputs is known. In addition, it is also assumed in the feedforward controller case, that the disturbance inputs can be measured and be excited; this assumption is not required in the robust feedback controller case. Necessary and sufficient conditions which allow the robust feedforward-feedback compensator to be synthesized so that the controlled system is stable and so that asymptotic tracking, in the presence of both measurable and unmeasurable disturbances, occurs are obtained. An algorithm which allows the controllers to be synthesized is given. Some numerical examples are included to illustrate the results.

350 citations

Journal ArticleDOI
TL;DR: In this paper, the authors proposed an approach to determine an input-output pairing configuration and controller settings guaranteeing a practically satisfactory disturbance attenuation for linear, interacting multivariable control systems.

340 citations

Journal ArticleDOI

185 citations


"Closed-Loop Identification of Two-I..." refers methods in this paper

  • ...The initial guess values for τeij and ζij are obtained from the Yuwana and Seborg [2] method....

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  • ...The initial guess for τeij and ζij parameters is taken from the values obtained using the Yuwana–Seborg method [2] and is given in Table 4....

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  • ...Yuwana and Seborg [2] have proposed an analytical method to estimate the parameters of a first-order plus time delay (FOPTD) model from the closed-loop response data under a P controller....

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  • ...They identified the individual closed-loop responses and interactions of an SOPTD model using the Yuwana and Seborg method [2]....

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  • ...The interaction responses yc21 and yc12 are identified using the Yuwana and Seborg [2] method since the method given by Clark [11] does not have normalized plots for responses whose final steady state is zero....

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Journal ArticleDOI
TL;DR: In this paper, four methods are proposed for estimating the dominant time constant and dead time of a given process from a knowledge of its moments, s-plane, frequency or transient response data, which are faster and simpler and, in terms of accuracy and reliabiltiy, are comparable to the time domain least squares procedure for parameter estimation.
Abstract: Four methods are proposed for estimating the dominant time constant and dead time of a given process from a knowledge of its moments, s-plane, frequency or transient response data. The methods are faster and simpler and, in terms of accuracy and reliabiltiy, are comparable to the time domain least squares procedure for parameter estimation. Applications of the methods are illustrated with the aid of a dispersion model. A comparison is also made with other known techniques to demonstrate the superiority of the suggested methods.

152 citations


"Closed-Loop Identification of Two-I..." refers methods in this paper

  • ...For the identification of the single-input single-output (SISO) models, Sundaresan and Krishnaswamy [1] have proposed methods for estimating the parameters of a process from its moments, s-plane frequency or transient response data....

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  • ...Melo and Friedly [5] have extended the frequency response technique for an SISO system proposed by Rajakumar and Krishnaswamy [6] for the online identification of open-loop transfer function models of an MIMO process....

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Book
01 Jan 1996
TL;DR: In this paper, a thorough, clearly written introduction to automatic control engineering is presented, starting with the fundamentals of modeling mechanical, electrical, and electromechanical systems in the state variable format.
Abstract: From the Publisher: This thorough, clearly written introduction to automatic control engineering begins with the fundamentals of modeling mechanical, electrical, and electromechanical systems in the state variable format. The emphasis is on classical feedback control theory and design, and their application to practical electromechanical and aerospace problems. After discussing classical control theory, the author introduces modern control theory, including digital control and nonlinear system analysis. Over 230 problems relate principles to practical engineering situations.

51 citations


"Closed-Loop Identification of Two-I..." refers background or methods in this paper

  • ...The interaction responses yc21 and yc12 are identified using the Yuwana and Seborg [2] method since the method given by Clark [11] does not have normalized plots for responses whose final steady state is zero....

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  • ...Since the closed-loop system will be of higher order, the normalized step response curve given by Clark [11] is used to identify the main responses of a third-order transfer function model....

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  • ...The comparison of the actual response and responses identified using the Clark method [11] is shown in Fig....

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  • ...The responses are compared with the plot given in [11]....

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  • ...It can be seen that main responses identified using the Clark [11] method match the actual main responses much better than the main responses identified using the Yuwana and Seborg [2] method....

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