EXPONENTIAL FUNCTION SETS IN THE ANALYSIS OF NONLINEAR SYSTEMS.
Abstract
An approximate solution for the response of the system to a transient (i.e., nonperiodic) input signal is proposed. The systems under consideration are single loop control systems having a linear dynamic subsystem in tandem in the loop with a memory-free nonlinear subsystem. An approximating system is devised by replacing each signal with its projection on a subspace of square-integrable functions. The transmission of signals in the subspace through the nonlinear part of the system is expressed by a multidimensional equivalent gain function. Several examples are presented in which the new technique is used to generate approximate solutions when the linear subsystem is of second or third order and the nonlinear subsystem is characterized by a polynomial input-output relation. The approximate response is compared with the solution resulting from a numerical integration of the actual system equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1968
- Accession Number
- AD0677029
Entities
People
- Gerald James Kirwin
Organizations
- Syracuse University