Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure

Linxiang Cheng; Jiapeng Liu; Lin Tie

doi:10.1109/ICCA51439.2020.9264403

Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure

Linxiang Cheng
, Jiapeng Liu
, Lin Tie

School of Automation Science and Electrical Engineering

Beihang University

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

1 Scopus citations

Abstract

In this paper, a class of discrete-time bilinear systems which are uncontrollable but can be nearly-controllable is considered. A necessary and sufficient condition for near-controllability of such systems was obtained and the corresponding control inputs to achieve the transition of the systems between any given pair of states are computable, but there are infinite groups of such control inputs. Therefore, this paper proposes a new algorithm, which attempts to find a minimum-energy control sequence to achieve the state transition and improves the previous algorithm for computing the control inputs. Analysis and examples are given to illustrate the proposed algorithm.

Original language	English
Title of host publication	2020 IEEE 16th International Conference on Control and Automation, ICCA 2020
Publisher	IEEE Computer Society
Pages	925-930
Number of pages	6
ISBN (Electronic)	9781728190938
DOIs	https://doi.org/10.1109/ICCA51439.2020.9264403
State	Published - 9 Oct 2020
Event	16th IEEE International Conference on Control and Automation, ICCA 2020 - Virtual, Sapporo, Hokkaido, Japan Duration: 9 Oct 2020 → 11 Oct 2020

Publication series

Name	IEEE International Conference on Control and Automation, ICCA
Volume	2020-October
ISSN (Print)	1948-3449
ISSN (Electronic)	1948-3457

Conference

Conference	16th IEEE International Conference on Control and Automation, ICCA 2020
Country/Territory	Japan
City	Virtual, Sapporo, Hokkaido
Period	9/10/20 → 11/10/20

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10.1109/ICCA51439.2020.9264403

Cite this

Cheng, L., Liu, J., & Tie, L. (2020). Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure. In 2020 IEEE 16th International Conference on Control and Automation, ICCA 2020 (pp. 925-930). Article 9264403 (IEEE International Conference on Control and Automation, ICCA; Vol. 2020-October). IEEE Computer Society. https://doi.org/10.1109/ICCA51439.2020.9264403

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title = "Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure",

abstract = "In this paper, a class of discrete-time bilinear systems which are uncontrollable but can be nearly-controllable is considered. A necessary and sufficient condition for near-controllability of such systems was obtained and the corresponding control inputs to achieve the transition of the systems between any given pair of states are computable, but there are infinite groups of such control inputs. Therefore, this paper proposes a new algorithm, which attempts to find a minimum-energy control sequence to achieve the state transition and improves the previous algorithm for computing the control inputs. Analysis and examples are given to illustrate the proposed algorithm.",

author = "Linxiang Cheng and Jiapeng Liu and Lin Tie",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 16th IEEE International Conference on Control and Automation, ICCA 2020 ; Conference date: 09-10-2020 Through 11-10-2020",

year = "2020",

month = oct,

day = "9",

doi = "10.1109/ICCA51439.2020.9264403",

language = "英语",

series = "IEEE International Conference on Control and Automation, ICCA",

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Cheng, L, Liu, J & Tie, L 2020, Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure. in 2020 IEEE 16th International Conference on Control and Automation, ICCA 2020., 9264403, IEEE International Conference on Control and Automation, ICCA, vol. 2020-October, IEEE Computer Society, pp. 925-930, 16th IEEE International Conference on Control and Automation, ICCA 2020, Virtual, Sapporo, Hokkaido, Japan, 9/10/20. https://doi.org/10.1109/ICCA51439.2020.9264403

Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure. / Cheng, Linxiang; Liu, Jiapeng; Tie, Lin.
2020 IEEE 16th International Conference on Control and Automation, ICCA 2020. IEEE Computer Society, 2020. p. 925-930 9264403 (IEEE International Conference on Control and Automation, ICCA; Vol. 2020-October).

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

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N2 - In this paper, a class of discrete-time bilinear systems which are uncontrollable but can be nearly-controllable is considered. A necessary and sufficient condition for near-controllability of such systems was obtained and the corresponding control inputs to achieve the transition of the systems between any given pair of states are computable, but there are infinite groups of such control inputs. Therefore, this paper proposes a new algorithm, which attempts to find a minimum-energy control sequence to achieve the state transition and improves the previous algorithm for computing the control inputs. Analysis and examples are given to illustrate the proposed algorithm.

AB - In this paper, a class of discrete-time bilinear systems which are uncontrollable but can be nearly-controllable is considered. A necessary and sufficient condition for near-controllability of such systems was obtained and the corresponding control inputs to achieve the transition of the systems between any given pair of states are computable, but there are infinite groups of such control inputs. Therefore, this paper proposes a new algorithm, which attempts to find a minimum-energy control sequence to achieve the state transition and improves the previous algorithm for computing the control inputs. Analysis and examples are given to illustrate the proposed algorithm.

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T2 - 16th IEEE International Conference on Control and Automation, ICCA 2020

Y2 - 9 October 2020 through 11 October 2020

ER -

Minimum-energy Control of Nearly-controllable Discrete-time Bilinear Systems with Nondiagonalizable Structure

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