Time maximum control for a class of single-input planar affine control systems and constraints

Feng Liu; George T.C. Chiu; Eric S. Hamby; Yongsoon Eun

doi:10.1109/CDC.2009.5400459

Time maximum control for a class of single-input planar affine control systems and constraints

Feng Liu, George T.C. Chiu, Eric S. Hamby, Yongsoon Eun

Department of Electrical Engineering and Computer Science

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

Abstract

In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5045-5050
Number of pages	6
ISBN (Print)	9781424438716
DOIs	https://doi.org/10.1109/CDC.2009.5400459
State	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09

Access to Document

10.1109/CDC.2009.5400459

Cite this

Liu, F., Chiu, G. T. C., Hamby, E. S., & Eun, Y. (2009). Time maximum control for a class of single-input planar affine control systems and constraints. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 5045-5050). Article 5400459 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5400459

Liu, Feng ; Chiu, George T.C. ; Hamby, Eric S. et al. / Time maximum control for a class of single-input planar affine control systems and constraints. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. pp. 5045-5050 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{56aaaf192e90439dbaca057ea0b32146,

title = "Time maximum control for a class of single-input planar affine control systems and constraints",

abstract = "In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.",

author = "Feng Liu and Chiu, \{George T.C.\} and Hamby, \{Eric S.\} and Yongsoon Eun",

year = "2009",

doi = "10.1109/CDC.2009.5400459",

language = "English",

isbn = "9781424438716",

series = "Proceedings of the IEEE Conference on Decision and Control",

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

pages = "5045--5050",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

}

Liu, F, Chiu, GTC, Hamby, ES & Eun, Y 2009, Time maximum control for a class of single-input planar affine control systems and constraints. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400459, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5045-5050, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5400459

Time maximum control for a class of single-input planar affine control systems and constraints. / Liu, Feng; Chiu, George T.C.; Hamby, Eric S. et al.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 5045-5050 5400459 (Proceedings of the IEEE Conference on Decision and Control).

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

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T1 - Time maximum control for a class of single-input planar affine control systems and constraints

AU - Liu, Feng

AU - Chiu, George T.C.

AU - Hamby, Eric S.

AU - Eun, Yongsoon

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Y1 - 2009

N2 - In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.

AB - In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.

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U2 - 10.1109/CDC.2009.5400459

DO - 10.1109/CDC.2009.5400459

M3 - Conference contribution

AN - SCOPUS:77950829409

SN - 9781424438716

T3 - Proceedings of the IEEE Conference on Decision and Control

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EP - 5050

BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

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Liu F, Chiu GTC, Hamby ES, Eun Y. Time maximum control for a class of single-input planar affine control systems and constraints. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. p. 5045-5050. 5400459. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5400459

Time maximum control for a class of single-input planar affine control systems and constraints

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