Wavelets Algorithm-based Identification of Linear Time-Invariant Second-Order Distributed Parameter System
Guige Gao · Microcomputer applications · 2008
In this paper, based on the orthogonal function approximation theory and with the help of the wavelets transform and their operational matrices, the identification problem of a class linear time-invariant second-order distributed parameter system is investigated. Haar wavelets and some operational matrices of Haar wavelets have been chosen to solve the presented problem. Because of these applications, time-invariant second-order distributed parameter system described by PDEs has been not only transformed into a LPS problem but also taking into account of initial conditions and boundary conditions. The proposed method has advantages of simple algorithm and less computation, simplifying the process of solution. Simulation example shows the presented method is an efficient algorithm for the parameters identification of linear time-invariant second-order distributed parameter system.