Accession Number : ADA301874

Title :   Applications of Nonlinear Control Using the State-Dependent Riccati Equation.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Parrish, David K.

PDF Url : ADA301874

Report Date : DEC 1995

Pagination or Media Count : 111

Abstract : This thesis examines the relatively new theory of nonlinear control using state dependent coefficient factorizations to mimic linear state space systems. The control theory is a nonlinear quadratic approach, analogous to linear quadratic regulation. All implementations examined in this thesis are done strictly numerically. This thesis is meant to provide a proof of concept for both satellite control and for an artificial pancreas to regulate blood glucose levels in diabetics by automatic insulin injection. These simulations represent only a first step towards practical use of the NQR method, and do not address noise rejection or robustness issues.

Descriptors :   *MATHEMATICAL MODELS, *NONLINEAR SYSTEMS, *RICCATI EQUATION, STABILIZATION, VELOCITY, COMPUTERIZED SIMULATION, OPTIMIZATION, ATTITUDE CONTROL SYSTEMS, EQUATIONS OF MOTION, PARAMETERS, MATRICES(MATHEMATICS), THESES, WEIGHTING FUNCTIONS, FEEDBACK, ARTIFICIAL SATELLITES, QUADRATIC EQUATIONS, PERTURBATIONS, CONTROL THEORY, NUMERICAL METHODS AND PROCEDURES, APPLIED MATHEMATICS, DYNAMIC PROGRAMMING, PANCREAS, GLUCOSE, BLOOD CHEMISTRY.

Subject Categories : Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE