A new interpretation of adjoint method in linear time-varying system analysis

Tailong He; Wanchun Chen

doi:10.1109/ICCIS.2017.8274749

A new interpretation of adjoint method in linear time-varying system analysis

Tailong He^*
, Wanchun Chen

^*Corresponding author for this work

School of Astronautics

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

In this paper, the adjoint of linear time-varying (LTV) system is given in general state-space form. By using the essential relationship between LTV system and its adjoint, the 'error budget', 'general one run' and 'special one run' interpretations of adjoint simulation are achieved in a new way. Moreover, the adjoint method in covariance analysis is presented. As an example, the performance analysis of a missile guidance system is performed by both covariance analysis and adjoint simulation, to illustrate the superiority of the adjoint simulation technique.

Original language	English
Title of host publication	2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	58-63
Number of pages	6
ISBN (Electronic)	9781538631355
DOIs	https://doi.org/10.1109/ICCIS.2017.8274749
State	Published - 2 Jul 2017
Event	8th IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Ningbo, China Duration: 19 Nov 2017 → 21 Nov 2017

Publication series

Name	2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings
Volume	2018-January

Conference

Conference	8th IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017
Country/Territory	China
City	Ningbo
Period	19/11/17 → 21/11/17

Keywords

Adjoint Method
Linear Time-Varying System
Missile Guidance

Access to Document

10.1109/ICCIS.2017.8274749

Cite this

He, T., & Chen, W. (2017). A new interpretation of adjoint method in linear time-varying system analysis. In 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings (pp. 58-63). (2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCIS.2017.8274749

He, Tailong ; Chen, Wanchun. / A new interpretation of adjoint method in linear time-varying system analysis. 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 58-63 (2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings).

@inproceedings{830a58c7e1344ec1a9156756988d9de5,

title = "A new interpretation of adjoint method in linear time-varying system analysis",

abstract = "In this paper, the adjoint of linear time-varying (LTV) system is given in general state-space form. By using the essential relationship between LTV system and its adjoint, the 'error budget', 'general one run' and 'special one run' interpretations of adjoint simulation are achieved in a new way. Moreover, the adjoint method in covariance analysis is presented. As an example, the performance analysis of a missile guidance system is performed by both covariance analysis and adjoint simulation, to illustrate the superiority of the adjoint simulation technique.",

keywords = "Adjoint Method, Linear Time-Varying System, Missile Guidance",

author = "Tailong He and Wanchun Chen",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 8th IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 ; Conference date: 19-11-2017 Through 21-11-2017",

year = "2017",

month = jul,

day = "2",

doi = "10.1109/ICCIS.2017.8274749",

language = "英语",

series = "2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "58--63",

booktitle = "2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings",

address = "美国",

}

He, T & Chen, W 2017, A new interpretation of adjoint method in linear time-varying system analysis. in 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings. 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 58-63, 8th IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017, Ningbo, China, 19/11/17. https://doi.org/10.1109/ICCIS.2017.8274749

A new interpretation of adjoint method in linear time-varying system analysis. / He, Tailong; Chen, Wanchun.
2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 58-63 (2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings; Vol. 2018-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A new interpretation of adjoint method in linear time-varying system analysis

AU - He, Tailong

AU - Chen, Wanchun

PY - 2017/7/2

Y1 - 2017/7/2

N2 - In this paper, the adjoint of linear time-varying (LTV) system is given in general state-space form. By using the essential relationship between LTV system and its adjoint, the 'error budget', 'general one run' and 'special one run' interpretations of adjoint simulation are achieved in a new way. Moreover, the adjoint method in covariance analysis is presented. As an example, the performance analysis of a missile guidance system is performed by both covariance analysis and adjoint simulation, to illustrate the superiority of the adjoint simulation technique.

AB - In this paper, the adjoint of linear time-varying (LTV) system is given in general state-space form. By using the essential relationship between LTV system and its adjoint, the 'error budget', 'general one run' and 'special one run' interpretations of adjoint simulation are achieved in a new way. Moreover, the adjoint method in covariance analysis is presented. As an example, the performance analysis of a missile guidance system is performed by both covariance analysis and adjoint simulation, to illustrate the superiority of the adjoint simulation technique.

KW - Adjoint Method

KW - Linear Time-Varying System

KW - Missile Guidance

UR - https://www.scopus.com/pages/publications/85049059439

U2 - 10.1109/ICCIS.2017.8274749

DO - 10.1109/ICCIS.2017.8274749

M3 - 会议稿件

AN - SCOPUS:85049059439

T3 - 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings

SP - 58

EP - 63

BT - 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 8th IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017

Y2 - 19 November 2017 through 21 November 2017

ER -

He T, Chen W. A new interpretation of adjoint method in linear time-varying system analysis. In 2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 58-63. (2017 IEEE International Conference on Cybernetics and Intelligent Systems, CIS 2017 and IEEE Conference on Robotics, Automation and Mechatronics, RAM 2017 - Proceedings). doi: 10.1109/ICCIS.2017.8274749

A new interpretation of adjoint method in linear time-varying system analysis

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this