RESEARCH IN MODERN CONTROL THEORY.
Abstract
A procedure for optimal synthesis of linear pulse-width-modulated computer-controlled systems by dynamic programming and a method for time-optimal pulse-width control of linear plants were originated. A sufficient condition for asymptotic stability in the large of pulse-width-modulated feedback control systems was established also, as was a generalization of that result to obtain a sufficient condition for stability of a class of discrete feedback systems with parallel nonlinear elements. A procedure for the analysis and synthesis of a class of periodically switched linear systems was also developed, and a straight-forward procedure for the optimal design of nonlinear sampled-data control systems was originated. Interest in fundamental problems of stability led then to the establishing of a necessary and sufficient condition for asymptotic stability in the sense of Lagrange of a class of delta-modulation data-transmission systems, and finally to the creation of a new chart and a new tool for practical application of earlier theoretical results in a frequency-domain test for absolute stability of nonlinear feedback systems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 10, 1968
- Accession Number
- AD0676684
Entities
People
- G. J. Murphy
Organizations
- Northwestern University