Abstract

In this paper, a three-dimensional (3D) impact-angle-control guidance law is proposed based on the approaches of nonsingular terminal sliding mode control and fixed-time convergence theory to intercept a maneuvering target. The guidance law is derived based on the coupled 3D engagement dynamics. To intercept the target with an expected impact angle, the nonsingular terminal sliding mode control is designed to ensure that the line-of-sight (LOS) angles and rates rapidly reach the desired values. Furthermore, the fixed-time convergence algorithm is proposed to guarantee that the LOS angles and rates are convergent in fixed time. The upper bound of the settling time can be obtained by presetting the parameters of the proposed guidance law, and it is independent of the initial conditions. The stability of the guidance system is proven via Lyapunov stability theory. The simulation results are presented to validate the efficiency and superiority of the proposed guidance law.

Highlights

  • The guidance law plays an important role in the missile defense system, since it guides the missile to successfully intercept the target

  • SIMULATION RESULTS numerical simulation results are presented to evaluate the performance of the proposed guidance law in this paper

  • In this paper, a novel 3D fast nonsingular terminal sliding mode guidance law based on the theory of fixed-time convergence is presented to intercept maneuvering targets considering the impact angle constraint

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Summary

Introduction

The guidance law plays an important role in the missile defense system, since it guides the missile to successfully intercept the target. Much attention has been paid to the guidance law for intercepting maneuvering targets in terminal guidance [1]. There is a great demand for advanced guidance laws based on modern control techniques. The proportional navigation guidance law (PNGL) [2] has been widely used, since it is easy to implement in practice and has good interception performance for stationary or slowmoving targets. The performance of the PNGL will degrade when intercepting maneuverable targets [3]. To satisfy the high demands of damage ability with maneuvering targets, many modern robust guidance laws have been developed based on nonlinear control methods, such as Lyapunovbased nonlinear guidance law [4], H∞ control guidance law [5], and adaptive control guidance law [6], [7]

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