Laguerre-domain Modeling and Identification of Linear Discrete-time Delay Systems

Bro, Viktor; Medvedev, Alexander; Ushirobira, Rosane

doi:10.1016/j.ifacol.2020.12.1256

Cited by 3 publications

(1 citation statement)

References 10 publications

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“…For continuous VL models with time delay, the problem of estimating the kernels is solved in [25]. A corresponding discrete-time formulation is introduced for the first time in the present paper hinging on recently obtained Laguerre-domain representation of discrete linear time-invariant systems with delay [26]. Laguerre functions constitute a special case of Meixner functions that have been applied to the estimation of discrete VM with time delay [27].…”

Section: Introductionmentioning

confidence: 99%

Continuous and Discrete Volterra-Laguerre Models With Delay for Modeling of Smooth Pursuit Eye Movements

Bro

Medvedev

2023

IEEE Trans. Biomed. Eng.

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The mathematical modeling of the human smooth pursuit system from eye-tracking data is considered. Recently developed algorithms for the estimation of Volterra-Laguerre (VL) models with explicit time delay are applied in continuous and discrete time formulations to experimental data collected from Parkinsonian patients in different medication states and healthy controls. The discrete VL model with an explicit time delay and the method for its estimation are first introduced in this paper. The estimated parameters of a second-order VL model are shown to capture the ocular dynamics both in health and disease. The possibility of including the estimated time delay, along with the VL kernel parameters, into the set of the model parameters is explored. The results obtained in continuous VL modeling are compared with those in discrete time to discern the effects due to the sampling enforced by the eye tracker used for data acquisition.

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Section: Introductionmentioning

confidence: 99%

Continuous and Discrete Volterra-Laguerre Models With Delay for Modeling of Smooth Pursuit Eye Movements

Bro

Medvedev

2023

IEEE Trans. Biomed. Eng.

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Linear Time-Invariant Discrete Delay Systems in Laguerre Domain

Medvedev

Bro

Ushirobira

2022

IEEE Trans. Automat. Contr.

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The paper provides the formulae connecting the Laguerre spectrum of the output signal of a linear discretetime time-invariant system to the Laguerre spectrum of its input signal and presents a standard state-space system description. The Laguerre domain system representation is meaningful when the input signal is square-summable and the system is stable. A certain type of polynomials arising in the evaluation of the output spectrum due to the presence of time delay is defined and key properties of these are investigated. The polynomials are characterized by a three-term recurrence relation that also facilitates their numerically reliable calculation.

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Design of active disturbance rejection controller for the system with unknown model using Laguerre functions

Zhang,

Wang,

Lee

et al. 2024

Transactions of the Institute of Measurement and Control

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This paper concentrates on the design problem of linear active disturbance rejection control (LADRC) for uncertain systems, whose order and parameters are unknown. In general, LADRC has diversified structural forms due to different order and parameters selection. To clarify the prerequisites for constructing the LADRC strategy, a Laguerre-based LADRC (LLADRC) method is proposed, which provides controller design guidance for systems with unknown models by capturing the impulse response. Then, intensive attention is focused on establishing internal stability conditions of the feedback system and parameter tuning rules of the prescribed controller. To gain a better understanding, the internal correlation between LLADRC and standard LADRC of the same order is analyzed. It is shown that observer and controller gains of the standard LADRC can be tuned via a workable LLADRC to achieve better control performance. Finally, a numerical example and an application design of DC motor speed control are studied, both of which demonstrate the feasibility and validity of the proposed method.

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Laguerre-domain Modeling and Identification of Linear Discrete-time Delay Systems

Cited by 3 publications

References 10 publications

Continuous and Discrete Volterra-Laguerre Models With Delay for Modeling of Smooth Pursuit Eye Movements

Continuous and Discrete Volterra-Laguerre Models With Delay for Modeling of Smooth Pursuit Eye Movements

Linear Time-Invariant Discrete Delay Systems in Laguerre Domain

Design of active disturbance rejection controller for the system with unknown model using Laguerre functions

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