DYNAMIC LINEARIZATION

Abstract

The conventional techniques for the linearization of nonlinear systems are presented as an introduction to the study. Dynamic st tistical linearization is contrasted to the e chni u d i d v lop s e s of repr n ing the dynamic beh vior of ZMNL (zero-m ory nonline r) sys ems, in order that the calculations of synthesis or control might be simplified. The method is designed to obtain a satisfactory approximation for w ole r nges of i pu s of a given class, such as the classes of step functions, sinusoids, and the like. This analy is, considered as the first step in a two-step attack, limits its lf to a discussion of systems which can be represented in a general open-loop form. The ZMNL devic within this configuration is replaced by a static nonlinear-gain term in series wit an equivalent linear transfer function. Equations are developed for the best approximations to both piecewise-linear and polynomial nonlin ariti s subject o bo h specified nd un p cified magnitude dis ributions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0277426

Entities

People

  • Walter J. Culver

Tags

DTIC Thesaurus Topics

  • Equations
  • Functions (Mathematics)
  • Mathematics
  • Nonlinear Systems
  • Polynomials
  • Step Functions
  • Transfer Functions

Readers

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