Symbolic Analysis of Multivariable Missile Systems

Abstract

A new systematic procedure mainly based on the Grassmann algebra is established for evaluating a symbolic transfer function in particular and a transfer matrix in general. After illustrating the rules for symbolic determinant evaluation, we extend the method to multivariable continuous and hybrid systems by the decoupling techniques. P-constrained and V-constrained models have been studied on the one hand; dead time compensators and the Smith compensators are deeply investigated on the other as the generalization of the new computerized symbolic treatment technique. In the appendix, this Grassman algebra-based method is compared with the existing methods such as symbolic evaluation via Fourier transform, symbolic evaluation via number theoretic transform, etc.

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Document Details

Document Type
Technical Report
Publication Date
May 04, 1988
Accession Number
ADA206326

Entities

People

  • Chih-fan Chen
  • Ming M. Chen

Organizations

  • Boston University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Closed Loop Systems
  • Complex Numbers
  • Control Systems
  • Diagrams
  • Engineering
  • Equations
  • Equations Of State
  • Hybrid Systems
  • Linear Systems
  • Multiple Input Multiple Output
  • Plant Structures
  • Riccati Equation
  • Simultaneous Equations
  • Steady State
  • Systems Engineering
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.