Linearized Kappa Guidance.

Abstract

An alternative solution to the ic-guidance dynamical equations is presented in this report. K-guidance is a midcourse guidance algorithm which maximizes intercept velocity. The nonlinear k-guidance dynamical equations are linearized. The linearization is via a nonlinear coordinate transformation and nonlinear feedback. The cost function is approximated by a quadratic cost. The linear quadratic regulator (LQR) method is then used to solve the optimal control problem. A closed form solution to the LQR problem is derived for both the free and fixed final angle of approach cases. A simulation is conducted to compare the trajectories and costs of the linearized solution methed and the original solution method. The results show similar performance for the two methods.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1996
Accession Number
ADA315097

Entities

People

  • Ching-fang Lin
  • Demetrios Serakos

Organizations

  • Naval Surface Warfare Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Closed Loop Systems
  • Control Systems Engineering
  • Curvature
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Feedback
  • Guidance
  • Midcourse Guidance
  • Midcourse Trajectories
  • Partial Differential Equations
  • Riccati Equation
  • Simulations
  • Systems Engineering
  • Trajectories

Readers

  • Fluid Dynamics.
  • Operations Research
  • Robotics and Automation.