INVESTIGATION OF THE STABILITY OF CONTROL SYSTEMS WITH DOUBLE (FREQUENCY AND WIDTH) PULSE MODULATION BY THE DIRECT LYAPUNOV METHOD,

Abstract

Discussion is based on a typical control system comprised of a continuous linear section (CLS) and combined pulse modulator (CPM). The modulator converts continuous output signal into a sequence of pulses of constant amplitude and modulated in sign, frequency, and duration. The modulation law is expressed. The development consists of the following: application of the direct Lyapunov method to the study of stability of a system with double pulse modulation; the Lyapunov function and its first difference; conditions of complete stability of a static system; and conditions of complete stability of a set of equilibrium positions of astatic systems. The method presented is applicable not only to systems with double pulse modulation but to all pulse systems which may be regarded as a special case of such a system.

Document Details

Document Type
Technical Report
Publication Date
Oct 14, 1969
Accession Number
AD0703056

Entities

People

  • V. M. Kuntsevich
  • Yu. N. Chekhovoi

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Control Systems
  • Frequency
  • Lyapunov Functions
  • Modulation
  • Modulators
  • Pulse Modulation
  • Sequences

Fields of Study

  • Engineering

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.