Semi-smooth Newton Methods for Time-Optimal Control for a Class of ODEs

Abstract

Time optimal control problems for a class of linear multi-input systems are considered. The problems are regularized and the asymptotic and monotone behavior of the regularisation procedure is investigated. For the regularised problems the applicability of semi-smooth Newton methods is verified. First numerical tests are presented which show that the proposed approach, differentialy from other methods, does not rely a-priory information of the switching structure.

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Document Details

Document Type
Technical Report
Publication Date
Feb 12, 2010
Accession Number
ADA556943

Entities

People

  • Karl Kunisch
  • Kazufumi Ito

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computational Science
  • Computations
  • Control Systems
  • Control Theory
  • Equations
  • Information Operations
  • Iterations
  • Linear Systems
  • Mathematics
  • New York
  • Nonlinear Programming
  • North Carolina
  • Optimization
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.