SIMPLIFIED SWITCHING FUNCTIONS FOR TIME-OPTIMAL CONTROL SYSTEMS

Abstract

A method is given to derive simplified switching functions for the design of third or higher order, time-optimal control systems. The type of system, that is considered, is characterized by small parameters which increase the order of the system. The sensitivity functions with respect to these small parameters has been the main tool of analysis. Two existing methods have been used to determine special initial conditions for the sensitivity equations because these equations are discontinuous at t = 0. It is shown that the same methods can be applied to deal with the discontinuity of the sensitivity functions at the switching time by a transformation of the original system. This investigation above all demonstrates how sensitivity functions with respect to small parameters, that change the system order, can be used to greatly simplify the analysis of higher order systems.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0658073

Entities

People

  • Harry Schmeichel

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Classification
  • Control Systems
  • Differential Equations
  • Discontinuities
  • Engineering
  • Equations
  • Illinois
  • Mathematical Analysis
  • New Jersey
  • Security
  • Sensitivity
  • Switching
  • Theorems
  • Trajectories
  • United States

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis