Computational guidance using sparse gauss-Hermite quadrature differential dynamic programming

Shaoming He; Hyo Sang Shin; Antonios Tsourdos

doi:10.1016/j.ifacol.2019.11.062

Computational guidance using sparse gauss-Hermite quadrature differential dynamic programming

Shaoming He, Hyo Sang Shin, Antonios Tsourdos

Cranfield University

Research output: Contribution to journal › Conference article › peer-review

11 Citations (Scopus)

Abstract

This paper proposes a new computational guidance algorithm using differential dynamic programming and sparse Gauss-Hermite quadrature rule. By the application of sparse Gauss-Hermite quadrature rule, numerical differentiation in the calculation of Hessian matrices and gradients in differential dynamic programming is avoided. Based on the new differential dynamic programming approach developed, a three-dimensional computational algorithm is proposed to control the impact angle and impact time for an air-to-surface interceptor. Extensive numerical simulations are performed to show the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	13-18
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	52
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2019.11.062
Publication status	Published - Oct 2019
Externally published	Yes
Event	21st IFAC Symposium on Automatic Control in Aerospace, ACA 2019 - Cranfield, United Kingdom Duration: 27 Aug 2019 → 30 Aug 2019

Keywords

Computational guidance
Differential dynamic programming
Impact angle
Impact time
Sparse Gauss-Hermite quadrature

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10.1016/j.ifacol.2019.11.062

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title = "Computational guidance using sparse gauss-Hermite quadrature differential dynamic programming",

abstract = "This paper proposes a new computational guidance algorithm using differential dynamic programming and sparse Gauss-Hermite quadrature rule. By the application of sparse Gauss-Hermite quadrature rule, numerical differentiation in the calculation of Hessian matrices and gradients in differential dynamic programming is avoided. Based on the new differential dynamic programming approach developed, a three-dimensional computational algorithm is proposed to control the impact angle and impact time for an air-to-surface interceptor. Extensive numerical simulations are performed to show the effectiveness of the proposed approach.",

keywords = "Computational guidance, Differential dynamic programming, Impact angle, Impact time, Sparse Gauss-Hermite quadrature",

author = "Shaoming He and Shin, {Hyo Sang} and Antonios Tsourdos",

note = "Publisher Copyright: Copyright {\textcopyright} 2019. The Authors. Published by Elsevier Ltd. All rights reserved.; 21st IFAC Symposium on Automatic Control in Aerospace, ACA 2019 ; Conference date: 27-08-2019 Through 30-08-2019",

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T1 - Computational guidance using sparse gauss-Hermite quadrature differential dynamic programming

AU - He, Shaoming

AU - Shin, Hyo Sang

AU - Tsourdos, Antonios

PY - 2019/10

Y1 - 2019/10

N2 - This paper proposes a new computational guidance algorithm using differential dynamic programming and sparse Gauss-Hermite quadrature rule. By the application of sparse Gauss-Hermite quadrature rule, numerical differentiation in the calculation of Hessian matrices and gradients in differential dynamic programming is avoided. Based on the new differential dynamic programming approach developed, a three-dimensional computational algorithm is proposed to control the impact angle and impact time for an air-to-surface interceptor. Extensive numerical simulations are performed to show the effectiveness of the proposed approach.

AB - This paper proposes a new computational guidance algorithm using differential dynamic programming and sparse Gauss-Hermite quadrature rule. By the application of sparse Gauss-Hermite quadrature rule, numerical differentiation in the calculation of Hessian matrices and gradients in differential dynamic programming is avoided. Based on the new differential dynamic programming approach developed, a three-dimensional computational algorithm is proposed to control the impact angle and impact time for an air-to-surface interceptor. Extensive numerical simulations are performed to show the effectiveness of the proposed approach.

KW - Computational guidance

KW - Differential dynamic programming

KW - Impact angle

KW - Impact time

KW - Sparse Gauss-Hermite quadrature

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DO - 10.1016/j.ifacol.2019.11.062

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SN - 2405-8963

VL - 52

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EP - 18

JO - IFAC-PapersOnLine

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T2 - 21st IFAC Symposium on Automatic Control in Aerospace, ACA 2019

Y2 - 27 August 2019 through 30 August 2019

ER -

Computational guidance using sparse gauss-Hermite quadrature differential dynamic programming

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Keywords

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