Optimal Terrain Following Controller for an Optimized Spline Reference Path

Abstract

This thesis presents the design of a proposed terrain following flight controller capable of tracking a cubic spline reference path. The controller tracks only the longitudinal motion; however, it provides both thrust and elevator control. The controller is based on a nonlinear reference model constructed from an optimized spline path. The spline path altitude and associated derivatives are computed. The longitudinal equations of motion are linearized about the reference trajectory and a truth model of actual aircraft motion is developed. Deviations from the nonlinear reference trajectory to the actual provide a linear system. Optimal control theory is used to solve the resulting linear regulator problem. The feedback gains are calculated from the steady-state Ricatti matrix equation. The two system controls are updated using these feedback gains. Results show the feedback controller to be stable and capable of tracking the cubic spline reference path. The performance index weighting matrices can be adjusted to improve the controller. The resulting controller can provide both good path control and engine control to improve vehicle survivability, engine life and fuel consumption.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1977
Accession Number
ADA055234

Entities

People

  • Ronald T. Kelly

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Altitude
  • Bomber Aircraft
  • Computer Programs
  • Control Systems
  • Control Theory
  • Differential Equations
  • Energy Management
  • Equations
  • Equations Of Motion
  • Fuel Consumption
  • Plastic Explosives
  • Regulators
  • Steady State
  • Terrain Following
  • Vehicles

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Robotics and Automation.