A. Patra et H. Unbehauen, IDENTIFICATION OF A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS USING HARTLEY MODULATING FUNCTIONS, International Journal of Control, 62(6), 1995, pp. 1431-1451
Citations number
56
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Most of the existing approaches to identification of nonlinear dynamic
systems involve matching a given input-output behaviour with empirica
l discrete-time approximations such as artificial neural networks, Kol
mogorov-Gabor polynomials, radial basis function networks, etc. Techni
ques for dealing with physically-based continuous-time models are eith
er applicable to only a restricted class of systems or are computation
ally very demanding. In this paper a new methodology is presented that
is applicable to a large class of nonlinear continuous-time systems,
by defining a set of Hartley modulating functions for characterizing t
he continuous process signals. The advantages of this new class of mod
ulating functions are that a set of algebraic equations with real coef
ficients results, the formulations are free from boundary conditions,
and the computations can be made using fast algorithms for the discret
e Hartley transformation. The resulting estimation scheme is applied t
o different categories of nonlinear systems and is tested under both n
oise-free and noisy conditions.