✦ LIBER ✦

Identification of time-varying linear systems using orthogonal functions

✍ Scribed by S.G. Mouroutsos; P.N. Paraskevopoulos

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 540 KB
Volume: 320
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(85)90024-9

No coin nor oath required. For personal study only.

✦ Synopsis

This paper considers the problem of identifying the parameters and initial conditions of systems described by linear dtjierential equations with time-varying coefficients. A new approach is proposed which is based on the idea of using orthogonal functions to represent the input-output data, as well as the unknown time-varying parameters of the system. Using certain properties of the orthogonal functions, an algorithm is constructed which reduces the identijcation problem to that of solving a linear algebraic system of equations.

📜 SIMILAR VOLUMES

IDENTIFICATION OF LINEAR TIME-VARYING SY

IDENTIFICATION OF LINEAR TIME-VARYING SYSTEMS

✍ K. Liu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 275 KB

This paper is concerned with the identification of linear time-varying systems. The discrete-time state space model of freely vibrating systems is used as an identification model. The focus is placed on identifying successive discrete transition matrices that have the same eigenvalues as the origina

Linear time-invariant distributed parame

Linear time-invariant distributed parameter system identification via orthogonal functions

✍ B.M. Mohan; K.B. Datta 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 318 KB

This paper points out the mathematical inconsistencies traced in the literature on the identification problem of linear time-invariant distributed parameter systems via orthogonal functions, and proposes for the same problem a unified identification approach based on the concept of one shot operatio

System identification using discrete ort

System identification using discrete orthogonal functions

✍ M. F. Fahmy; T. I. Haweei; G. J. M. Elraheem; R. R. Gharieb 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 577 KB

## Abstract In this paper a novel method is described for the design of adaptive IIR filters used in system identification. the adaptive filter is implemented as a parallel connection of subsections whose transfer functions constitute a set of discrete orthogonal systems. the adaptation algorithm u

Identification of time-varying bilinear

Identification of time-varying bilinear systems using legendre series

✍ Jyh-Horng Chou; Ing-Rong Horng 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 370 KB

A new method using the operational properties of the integration and product of the Legendre series is presented for identzfying the unknown parameters of time-varying bilinear systems from the input-output data. This approach is straightforward and convenient for digital computations. One computati

Analysis of time-varying discrete system

Analysis of time-varying discrete systems using discrete legendre orthogonal polynomials

✍ Chyi Hwang; Kuo-Kai Shyu 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 800 KB

A finite series expansion method using discrete Legendre orthogonal polynomials (DLOPs) is applied to analyze linear time-varying discrete systems. An effective algorithm is derived to establish a representation which relates the DLOP coeficient vector of a product function to those of its two-comp

Optimal control of linear time-varying d

Optimal control of linear time-varying discrete systems via discrete legendre orthogonal polynomials

✍ Kuo-Kai Shyu; Chyi Hwang 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 904 KB

A method of jkite series expansion using discrete Legendre orthogonal polynomials (DLOP's) is proposed for the fmite-time optimal control of time-varying discrete systems with a quadratic performance index. Computational algorithms are derivedfor solving two-point boundary-value canonical state equ