Analysis and design of linear time-varying systems based on a finite-time performance index

Fenghua He; Long Wang; Yu Yao; Hongsheng Qi; Zhe Jiang

doi:10.1109/ACC.2015.7172273

Analysis and design of linear time-varying systems based on a finite-time performance index

Fenghua He
, Long Wang
, Yu Yao
, Hongsheng Qi
, Zhe Jiang

School of Astronautics

Harbin Institute of Technology
CAS - Academy of Mathematics and System Sciences

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

3 Scopus citations

Abstract

In this paper, the performance analysis and control design problem are considered for a linear time-varying(LTV) system with non-zero initials and energy bounded external disturbance in a finite-time horizon. A finite-time performance index is proposed to be used as a performance metric of such a class of systems which are not required to be stable and with zero initials in the worst-case. The properties and performance criterion of the finite-time performance index are proved and its statistical interpretation is given as well. Then, the design problem of a linear time-varying system is treated based on the proposed finite-time performance index via both state feedback and output feedback. Finally, we apply the proposed approach to the guidance law design problem of a terminal guidance system, which is a typical finite-time system and also the motivation of this work. Simulation experiments are carried out to show the effectiveness of the proposed approach.

Original language	English
Title of host publication	ACC 2015 - 2015 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5948-5953
Number of pages	6
ISBN (Electronic)	9781479986842
DOIs	https://doi.org/10.1109/ACC.2015.7172273
State	Published - 28 Jul 2015
Event	2015 American Control Conference, ACC 2015 - Chicago, United States Duration: 1 Jul 2015 → 3 Jul 2015

Publication series

Name	Proceedings of the American Control Conference
Volume	2015-July
ISSN (Print)	0743-1619

Conference

Conference	2015 American Control Conference, ACC 2015
Country/Territory	United States
City	Chicago
Period	1/07/15 → 3/07/15

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10.1109/ACC.2015.7172273

Cite this

He, F., Wang, L., Yao, Y., Qi, H., & Jiang, Z. (2015). Analysis and design of linear time-varying systems based on a finite-time performance index. In ACC 2015 - 2015 American Control Conference (pp. 5948-5953). Article 7172273 (Proceedings of the American Control Conference; Vol. 2015-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7172273

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title = "Analysis and design of linear time-varying systems based on a finite-time performance index",

abstract = "In this paper, the performance analysis and control design problem are considered for a linear time-varying(LTV) system with non-zero initials and energy bounded external disturbance in a finite-time horizon. A finite-time performance index is proposed to be used as a performance metric of such a class of systems which are not required to be stable and with zero initials in the worst-case. The properties and performance criterion of the finite-time performance index are proved and its statistical interpretation is given as well. Then, the design problem of a linear time-varying system is treated based on the proposed finite-time performance index via both state feedback and output feedback. Finally, we apply the proposed approach to the guidance law design problem of a terminal guidance system, which is a typical finite-time system and also the motivation of this work. Simulation experiments are carried out to show the effectiveness of the proposed approach.",

author = "Fenghua He and Long Wang and Yu Yao and Hongsheng Qi and Zhe Jiang",

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He, F, Wang, L, Yao, Y, Qi, H & Jiang, Z 2015, Analysis and design of linear time-varying systems based on a finite-time performance index. in ACC 2015 - 2015 American Control Conference., 7172273, Proceedings of the American Control Conference, vol. 2015-July, Institute of Electrical and Electronics Engineers Inc., pp. 5948-5953, 2015 American Control Conference, ACC 2015, Chicago, United States, 1/07/15. https://doi.org/10.1109/ACC.2015.7172273

Analysis and design of linear time-varying systems based on a finite-time performance index. / He, Fenghua; Wang, Long; Yao, Yu et al.
ACC 2015 - 2015 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 5948-5953 7172273 (Proceedings of the American Control Conference; Vol. 2015-July).

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

TY - GEN

T1 - Analysis and design of linear time-varying systems based on a finite-time performance index

AU - He, Fenghua

AU - Wang, Long

AU - Yao, Yu

AU - Qi, Hongsheng

AU - Jiang, Zhe

PY - 2015/7/28

Y1 - 2015/7/28

N2 - In this paper, the performance analysis and control design problem are considered for a linear time-varying(LTV) system with non-zero initials and energy bounded external disturbance in a finite-time horizon. A finite-time performance index is proposed to be used as a performance metric of such a class of systems which are not required to be stable and with zero initials in the worst-case. The properties and performance criterion of the finite-time performance index are proved and its statistical interpretation is given as well. Then, the design problem of a linear time-varying system is treated based on the proposed finite-time performance index via both state feedback and output feedback. Finally, we apply the proposed approach to the guidance law design problem of a terminal guidance system, which is a typical finite-time system and also the motivation of this work. Simulation experiments are carried out to show the effectiveness of the proposed approach.

AB - In this paper, the performance analysis and control design problem are considered for a linear time-varying(LTV) system with non-zero initials and energy bounded external disturbance in a finite-time horizon. A finite-time performance index is proposed to be used as a performance metric of such a class of systems which are not required to be stable and with zero initials in the worst-case. The properties and performance criterion of the finite-time performance index are proved and its statistical interpretation is given as well. Then, the design problem of a linear time-varying system is treated based on the proposed finite-time performance index via both state feedback and output feedback. Finally, we apply the proposed approach to the guidance law design problem of a terminal guidance system, which is a typical finite-time system and also the motivation of this work. Simulation experiments are carried out to show the effectiveness of the proposed approach.

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M3 - 会议稿件

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T2 - 2015 American Control Conference, ACC 2015

Y2 - 1 July 2015 through 3 July 2015

ER -

Analysis and design of linear time-varying systems based on a finite-time performance index

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