Nonlinear Optimal Tracking For Missile Gimbaled Seeker Using Finite-Horizon State Dependent Riccati Equation

Abstract

The majority of homing guided missiles use gimbaled seekers. The equations describing seeker gimbal system are highly nonlinear. Accurate nonlinear control of the motion of the gimbaled seeker through the attached DC motors is required. In this paper, an online technique for finite-horizon nonlinear tracking problems is presented. The idea of the proposed technique is the change of variables that converts the nonlinear differential Riccati equation to a linear Lyapunov differential equation. The proposed technique is effective for wide range of operating points. Simulation results for a realistic gimbaled system with different engagement scenarios are given to illustrate the effectiveness of the proposed technique.

Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust

“…A lightweight composite rudder and elevator structure [22] provides rapid response to control signals. In the case of low deflection angles of the aerodynamic controls α Y , α Z and subsonic velocities, the lift and lateral (control) forces Q Y , Q Z generated on the aerodynamic control surface adopt a simplified form (3,4). A pair of rudders and elevators in the front part of the missile can be described by the following formulas:…”

“…Increasing missile accuracy is the major factor that necessitates the development of engineering methods based on integration of missile subsystems [2]. Some of the control methods are based on the Riccati equation [3] and are utilized for designing non-linear control systems. The operating effectiveness of the optimal LQR control method largely depends on the elements of the Q and R weight matrix.…”