Title :
Transfer functions for nonlinear systems via Fourier-Borel transforms
Author :
Can, Siimer ; Ünal, Aynur
Author_Institution :
Dept. of Mech. Eng., Santa Clara Univ., CA, USA
Abstract :
It is demonstrated that the general response of nonlinear dynamical systems can be expressed in terms of their transfer functions in an analogous way to the linear systems. The transfer functions are defined as the generalized series for the response of the nonlinear dynamical system which is initially at rest and which is loaded by a unit step function. These transfer functions are obtainable through symbolic computer algebra.<>
Keywords :
Fourier transforms; control system analysis; control system synthesis; nonlinear control systems; nonlinear network analysis; nonlinear network synthesis; transfer functions; Fourier-Borel transforms; generalized series; nonlinear systems; symbolic computer algebra; transfer functions; unit step function; Aerodynamics; Algebra; Computer languages; Fourier series; Fourier transforms; Frequency response; Laplace equations; Mechanical engineering; Nonlinear systems; Transfer functions;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15437
