Accession Number : AD0708151

Title :   ON OPTIMUM CONTROL SYSTEMS WITH VARIATIONS IN INITIAL CONDITIONS,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Wu,Cheng-An

Report Date : APR 1970

Pagination or Media Count : 100

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.

Descriptors :   (*MARS(PLANET), *ATMOSPHERE ENTRY), (*DESCENT TRAJECTORIES, CONTROL), (*CONTROL SYSTEMS, MATHEMATICAL MODELS), TERMINAL GUIDANCE, NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, OPTIMIZATION, THESES

Subject Categories : Numerical Mathematics
      Test Facilities, Equipment and Methods
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE