## This paper deals with the estimation of linear thne invariant (LTI) systems using La, querrien models. The Laguerre J~mctions used in this" paper are presented in their 9eneraljorm, i.e. usin 9 two exponential Jactors. The main contribution 0[ this paper is the development ~[ an algorithm which
State equations and decomposition into Laguerre functions
✍ Scribed by José Ragot; Simon Ekongolo; Didier Maquin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 246 KB
- Volume
- 333
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
For a linear system, one establ&hes a connection between the coefficients of the decomposition into Layuerre functions of the inputs and the outputs of the system. When the system is modelled by a state equation, it is showed that the two series are related through a state equation whose matrices are depending of those of the state equations of the system. The new state representation may be used for analysing linear dynamic systems.
📜 SIMILAR VOLUMES
This paper annlJ;es the application of Laguerre polynomial expansion to linear systems. It can be applied to the solution of linear state equations by using an algebraic matri.u to determine the coejicients of the Laglrerre expansion. It also can be applied to system identification by using the expa