SUPPRESSING NATURAL OSCILLATIONS IN NONLINEAR COMBINED SYSTEMS (PODAVLENIE AVTOKOLEBANII V NELINEINYKH KOMBINIROVANNYKH SYSTEMAKH),

Abstract

The suppression of auto-oscillations in nonlinear combined systems is investigated. An approximation method is proposed for estimating the effect of connections with respect to perturbation on the stability of nonlinear combined systems (NCS). This approximation method consists of two parts: a determination of the effects of connections with respect to perturbation on the effect of an open control circuit on the stability of the NCS, taking into account the specific nonlinear characteristic of the closed circuit. This article investigates single-circuit, nonlinear systems and those reduced to them, with one nonlinear link. Using the approximation method for determining the effect of connections with respect to perturbation on the stability of the NCS, the author concludes that the parameters of connections can be selected from the conditions of stability. The stability of NCS under different variants of including a connection with respect to perturbation can be determined. The effect of the parameters of links of a closed cycle on stability can also be determined. In addition, it is possible to fulfill the conditions of a given partial of absolute invariance in NCS. The author also points out that, if the nonlinear link of the system has a partial derivative greater than zero, the connections are a means of suppressing auto-oscillations.

Document Details

Document Type
Technical Report
Publication Date
May 08, 1967
Accession Number
AD0669429

Entities

People

  • V. I. Panov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Invariance
  • Mathematical Analysis
  • Mathematics
  • Motion
  • Nonlinear Systems
  • Oscillation
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Information Retrieval