Dead time estimation in generalized Laguerre functions basis

Tuma, Martin; Jura, Pavel

doi:10.1063/5.0026749

Cited by 3 publications

(1 citation statement)

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“…The advantage of the optimal choice of the free parameters in GLFs and its influence on the quality of identification was presented. Another example of the generalization of the SLFs method is the application of GLFs to the dead time estimation problem in [23]. This approach is an extension of SLFs based dead time estimation, which can be found in [24].…”

Section: Introductionmentioning

confidence: 99%

Design PID Controllers Using Generalized Laguerre Functions

Karský¹,

Tůma²

2022

RADIOENGINEERING

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This paper deals with a method of designing PID controllers. Generalized Laguerre functions were used for this task. Generalized Laguerre functions generate an orthogonal base in the time domain and the operator domain. This property of generalized Laguerre functions is beneficially used for the design of the PID controller. Parameters for generalized Laguerre function PID controllers are computed from the Laguerre series of the open loop and the Laguerre series of the ideal open loop. To satisfy this goal, the plant transfer function, the controller transfer function, and the ideal open loop transfer function are transformed into a generalized Laguerre functions base. Three examples are shown to present this method.

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Section: Introductionmentioning

confidence: 99%

Design PID Controllers Using Generalized Laguerre Functions

Karský¹,

Tůma²

2022

RADIOENGINEERING

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Efficient parameter estimation for second order plus dead time systems in process plant control

Pal,

Banerjee,

Dam

2024

Adv Control Appl

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Designing a controller for a process plant typically modeled as a first or second‐order system with dead time involves an efficient and accurate estimation of its parameters. Since many process plants are characterized as second‐order plus dead time (SOPDT) overdamped or critically damped systems, this study presents a straightforward parameter estimation method using transient response data from a step input at three specific time instants. Two‐time domain performance indices (PIs), (= for system dead time = 0 and for system dead time ≠ 0; , and are respectively the times at which the response reaches 5%, 10% and 90% of the steady‐state response) and (reciprocal of rise time ) are proposed in this work. Correlations are established between these PIs and the parameters of the SOPDT system. The first correlation establishes that is a function of the damping ratio only and is independent of the undamped natural frequency which means that the evaluation of from the time response data is sufficient to estimate . The second correlation establishes that for a given , is a function of . Thus the evaluation of from the time response data and an estimate of from the first correlation is sufficient to estimate . The proposed algorithm estimates the parameters of the canonical transfer function of the plant by these correlations from the three specific time instants, as mentioned above, of the step response of the plant. Comparisons with four methods existing in the literature reveal that the method is also effective with higher order systems that may be approximated by SOPDT dynamics, and robust even with measurement noise, making it useful for implementing control strategies, not only in process plants but also in other systems having similar time responses.

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