ON THE SIMULATION OF DYNAMIC SYSTEMS WITH LUMPED PARAMETERS AND TIME DELAYS.
Abstract
The thesis develops a method for digital simulation of linear time-invariant dynamic systems with lumped parameters and time delays. Ordinarily, such systems can be described by a linear matrix differential-difference equation, which can be transformed to an infinite-dimensional difference equation whose solution is obtained in a recursive way. As the present method depends on the accuracy of evaluation of the matrix exponential, a simple computational procedure based on the truncation of the infinite series for e to the power (AT) is described. In addition, an algorithm is given which ensures that the transient state of an unforced linear time-invariant dynamic system with zero time delay is calculated to a specified accuracy. Several sample problems are included. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0663502
Entities
People
- Nestor Leal-cantu
Organizations
- Massachusetts Institute of Technology