Optimal expansions of discrete-time Volterra models using Laguerre functions

Automatica ◽  
2004 ◽  
Vol 40 (5) ◽  
pp. 815-822 ◽  
Author(s):  
Ricardo J.G.B. Campello ◽  
Gérard Favier ◽  
Wagner C. do Amaral
Keyword(s):  
Discrete Time ◽  
Laguerre Functions ◽  
Volterra Models

scholarly journals Optimal Expansions of Discrete-Time Volterra Models Using Laguerre Functions

2003 ◽  
Vol 36 (16) ◽  
pp. 1807-1812 ◽  
Author(s):  
Ricardo J.G.B. Campello ◽  
Gérard Favier ◽  
Wagner C. Amaral
Keyword(s):  
Discrete Time ◽  
Laguerre Functions ◽  
Volterra Models

CHOICE OF FREE PARAMETERS IN EXPANSIONS OF DISCRETE-TIME VOLTERRA MODELS USING KAUTZ FUNCTIONS

2005 ◽  
Vol 38 (1) ◽  
pp. 761-766 ◽  
Author(s):  
Alex da Rosa ◽  
Wagner C. Amaral ◽  
Ricardo J.G.B. Campello
Keyword(s):  
Discrete Time ◽  
Volterra Models ◽  
Kautz Functions ◽  
Free Parameters

scholarly journals Controller Design Using Laguerre Functions

2021 ◽  
Author(s):  
philip olivier
Keyword(s):  
Transfer Function ◽  
Discrete Time ◽  
Continuous Time ◽  
Controller Design ◽  
Laguerre Functions ◽  
Plant Transfer ◽  
Future Work

<div> <div> <div> <p>This paper presents a technique for designing controllers for rational plants using Laguerre functions. The inputs to the process are the a) the plant transfer function P(s), b) the target transfer function T(s) and c) the desired order of the controller. Future work will extend this process so it is applicable to 1) irrational continuous time plants and 2) to irrational discrete time plants. </p> </div> </div> </div>

scholarly journals PARAMETRIC COMPLEXITY REDUCTION OF DISCRETE-TIME LINEAR SYSTEMS HAVING A SLOW INITIAL ONSET OR DELAY

2016 ◽  
Vol 21 (5) ◽  
pp. 668-684 ◽  
Author(s):  
Abdelkader Krifa ◽  
Kais Bouzrara
Keyword(s):  
Discrete Time ◽  
Laguerre Functions ◽  
Orthogonal Functions ◽  
Optimal Value ◽  
Initial Onset ◽  
Kautz Functions ◽  
Time Systems ◽  
Optimal Modeling ◽  
Time Linear ◽  
Recursive Representation

This paper is concerned with an optimal expansion of linear discrete time systems on Meixner functions. Many orthogonal functions have been widely used to reduce the model parameter number such as Laguerre functions, Kautz functions and orthogonal basis functions. However, when the system has a slow initial onset or delay, Meixner functions, which have a slow start, are more suitable in terms of providing a more accurate approximation to the system. The optimal approximation of Meixner model is ensured once the pole characterizing the Meixner functions is set to its optimal value. In this paper, a new recursive representation of Meixner model is proposed. Further we propose, from input/output measurements, an iterative pole optimization algorithm of the Meixner pole functions. The method consists in applying the Newton-Raphson’s technique in which their elements are expressed analytically by using the derivative of the Meixner functions. Simulation results show the effectiveness of the proposed optimal modeling method.

scholarly journals DIGITAL MODEL PREDICTIVE CONTROL OF THE THREE TANK SYSTEM BASED ON LAGUERRE FUNCTIONS

2019 ◽  
Vol 17 (3) ◽  
pp. 153
Author(s):  
Miodrag Spasić ◽  
Dragan Antić ◽  
Nikola Danković ◽  
Staniša Perić ◽  
Saša S. Nikolić
Keyword(s):  
Nonlinear System ◽  
Model Predictive Control ◽  
Predictive Control ◽  
Discrete Time ◽  
Hydraulic System ◽  
Control Method ◽  
Controller Design ◽  
Laguerre Functions ◽  
Tank System ◽  
Digital Simulations

The application of the model predictive control (MPC) based on discrete-time Laguerre functions is presented in this paper. A nonlinear three-tank hydraulic system is used as an object to which the proposed algorithm is applied. The paper also presents the method of For the verification of the proposed control method, digital simulations are performed using Matlab.linearization of the nonlinear system, as well as the procedure for the controller design.

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