Time-Optimal Control of a Third Order Regulator

Abstract

The time-optimal control law as a function of the states for second and third-order linear regulators with real eigenvalues was derived. Notions of a switching curve for the second-order system and switching surface for the third-order system was introduced. A set of states was found which divided the state space into two distinct regions, in one of which the time-optimal control was +1 and in the other of which the time-optimal control was -1. Time-optimal control, Switching curves and surfaces, Linear time-optimal regulator.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1994
Accession Number
ADA283307

Entities

People

  • Serhat Balkan

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Computer Programs
  • Computer Simulations
  • Computers
  • Control
  • Control Theory
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of State
  • Regulators
  • Schools
  • Simulations
  • Switching
  • Three Dimensional
  • Transfer Functions

Readers

  • Computer Networking
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers