State Space Techniques in Approximation Theory with Applications to Design of Recursive Optimal Estimators. Volume I.

Abstract

In many applications of recursive estimation theory to trajectory estimation the process dynamics are not used. In these cases one normally resorts to approximating the forces with fitting functions. Polynomials, exponentially weighted polynomials and trigonometric and their orthogonal counterparts Gram, Legendre, and Laguerre polynomials are developed in a vector space setting. Matrices describing the connections between the bases and their velocity matrices and their pseudo-inverses are developed. Continuous and discrete function filtering dynamics are presented. These relations can serve as an aid to fitting functions filter design. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA048718

Entities

People

  • James S. Pappas.

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Computer Programs
  • Differential Equations
  • Estimators
  • Filters
  • Filtration
  • Linear Algebra
  • Mathematical Analysis
  • Mathematical Filters
  • Numerical Analysis
  • Optimal Estimators
  • Polynomials
  • Three Dimensional
  • Two Dimensional
  • Vector Spaces

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers