Algebraic solution of differential geometric guidance command and time delay control

According to the three-dimensional geometry of the engagement, the explicit algebraic expression of differential geometric guidance command（DGGC） is proposed. Compared with the existing solutions, the algebraic solution is much simpler and better for the further research of the characteristics of DG...

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Bibliographic Details
Published inScience China. Technological sciences Vol. 58; no. 3; pp. 565 - 573
Main Authors Li, KeBo, Chen, Lei, Tang, GuoJin
Format Journal Article
LanguageEnglish
Published Heidelberg Science China Press 01.03.2015
Subjects
Acceleration
Algebra
Commands
Control systems
Differential geometry
Engineering
Mathematical models
Three dimensional
Time delay
不确定性问题
代数表达式
代数解
延时控制
微分几何
指挥
机动加速度
立体几何
time delay control
explicit expression
target acceleration estimation
differential geometric guidance command
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Summary:According to the three-dimensional geometry of the engagement, the explicit algebraic expression of differential geometric guidance command（DGGC） is proposed. Compared with the existing solutions, the algebraic solution is much simpler and better for the further research of the characteristics of DGGC. Time delay control（TDC） is a useful method to tackle the uncertainty problem of a control system. Based on TDC, taking the target maneuvering acceleration as a disturbance, the estimation algorithm of the target maneuvering acceleration is presented, which can be introduced in DGGC to improve its performance. Then, the augmented DGGC（ADGGC） is obtained. The numerical simulation of intercepting a high maneuvering target is conducted to demonstrate the effectiveness of ADGGC.
Bibliography:According to the three-dimensional geometry of the engagement, the explicit algebraic expression of differential geometric guidance command（DGGC） is proposed. Compared with the existing solutions, the algebraic solution is much simpler and better for the further research of the characteristics of DGGC. Time delay control（TDC） is a useful method to tackle the uncertainty problem of a control system. Based on TDC, taking the target maneuvering acceleration as a disturbance, the estimation algorithm of the target maneuvering acceleration is presented, which can be introduced in DGGC to improve its performance. Then, the augmented DGGC（ADGGC） is obtained. The numerical simulation of intercepting a high maneuvering target is conducted to demonstrate the effectiveness of ADGGC.
11-5845/TH
differential geometric guidance command; explicit expression; time delay control; target acceleration estimation
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-7321
1869-1900
DOI:10.1007/s11431-014-5730-y