Synthesis of Nonlinear Guidance Laws for Missiles with Uncertain Dynamics

Abstract

This technical memorandum describes a nonlinear guidance law for a single-missile single-target engagement. The guidance relies on the concepts of Lyapunov stability and backstepping, which are constructive methods in nonlinear control theory. The design of the guidance law allows taking into account the nonlinear relative kinematics between the missile and the target, and ensuring ultimate boundedness of the missile-target system trajectories provided the estimation error of the target acceleration is bounded in magnitude. In other words, despite the nonlinear kinematics between the missile and the target, the guidance scheme is guaranteed to result in a relatively small miss distance between the missile and the target.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2007
Accession Number
ADA479365

Entities

People

  • C. A. Rabbath
  • N. Lechevin

Organizations

  • DRDC Valcartier

Tags

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Equations
  • Flight Control Systems
  • Guidance
  • High Gain
  • Homing
  • Lyapunov Functions
  • National Security
  • Navigation
  • Proportional Navigation
  • Security
  • Terminal Guidance
  • Trajectories
  • Two Dimensional
  • Unmanned Systems

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Missile Defense Systems.