Differentiator-Based Incremental Three-Dimensional Terminal Angle Guidance With Enhanced Robustness

In this article, an incremental guidancelaw with terminal angle constraint is proposed against maneuvering targets in the 3-D space. First, a sliding surface is constructed such that its first-order dynamics excludes the relative range and line-of-sight angles in the perturbation. This manipulation...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems Vol. 58; no. 5; pp. 4020 - 4032
Main Authors: Han, Tuo, Shin, Hyo-Sang, Hu, Qinglei, Tsourdos, Antonios, Xin, Ming
Format: Journal Article
Language:English
Published: New York IEEE 01.10.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Differentiator
Differentiators
Dynamic inversion
Dynamical systems
Guidance (motion)
Guidance systems
incremental nonlinear dynamic inversion (INDI)
Maneuvering targets
Missiles
Nonlinear dynamical systems
Nonlinear dynamics
Numerical simulation
Perturbation
Perturbation methods
Robustness
Robustness (mathematics)
Sliding mode control
sliding mode control (SMC)
Stability analysis
terminal angle constraint
three-dimensional (3-D) guidance
Three-dimensional displays
ISSN:0018-9251, 1557-9603
Online Access:Get full text
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Summary:In this article, an incremental guidancelaw with terminal angle constraint is proposed against maneuvering targets in the 3-D space. First, a sliding surface is constructed such that its first-order dynamics excludes the relative range and line-of-sight angles in the perturbation. This manipulation avoids unboundedperturbations induced by target maneuvers near collision. Then, a benchmark guidance law is derived via the nonlinear dynamic inversion (NDI) based sliding mode control (NDI-SMC). To further enhance guidance system robustness, an incremental nonlinear dynamic inversion (INDI) based SMC (INDI-SMC) 3-D guidance law is developed. The INDI-SMC guidance law exploits the first-order derivative of the sliding variable and guidance command output at the latest step, which leads to reduced perturbation and thus requires smaller gains than the NDI-SMC guidance law. A multivariable continuous differentiator is employed to estimate the sliding variable's first-order derivative for guidance law implementation. Moreover, the stability of the differentiator is analyzed and the guidance robustness under uncertainties is compared. Extensive numerical simulations and a Monte Carlo test are conducted to verify effectiveness and robustness of the proposed method.
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ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.2022.3158639