Digital Computer Program for the Determination of Modified Z-Transforms with W-Plane Transformation.

Abstract

In the analysis of sampled-data control systems containing transport lags due to computational delay of the controller and/or the actuator mechanism, the modified z-transforms are frequently used. This computer program breaks down the LaPlace transform transfer function of the system into a sum of partial fractions and computes the modified z-transform of each term. Each term is then mapped into the W-plane by the bilinear transformation z = (1 + W)/(1 - W). This technique allows the control system designer to use conventional classical methods of continuous systems on the W-plane transfer function. The poles and zeros of the W-place are then mapped back into z by inverse transformation. The program listing is included.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA005585

Entities

People

  • Bettye Rogerson
  • Edward E. Herbert

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Actuators
  • Computer Programs
  • Computers
  • Computing Devices
  • Control Systems
  • Digital Computers
  • Transfer Functions
  • Transport Ships

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.