ON OPTIMUM CONTROL SYSTEMS WITH VARIATIONS IN INITIAL CONDITIONS,

Abstract

The dissertation considers the effect of changes in initial conditions on the trajectories of control systems described by a set of ordinary nonlinear differential equations. The analysis is based on the formation of sensitivity functions about the nominal trajectory. Sensitivity functions are used to investigate the changes in terminal conditions and cost function due to deviations in initial conditions. Bounds on the deviations in initial conditions are found so that the desired terminal conditions are satisfied within given tolerances. A direct method called the conjugate gradient method is considered. Its associated properties, such as monotonic convergence, existence, uniqueness, etc. are discussed. The mars entry problem is formulated.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0708151

Entities

People

  • Cheng-an Wu

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Convergence
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Nonlinear Differential Equations
  • Sensitivity
  • Terminals
  • Trajectories

Readers

  • Linear Algebra
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  • Statistical inference.