On existence and construction of stabilizing switching laws between two unstable linear systems

Yew-Wen Liang; Yu Huan Tan; Sheng Dong Xu; Jia Liang Chang

doi:10.1109/ICMECH.2005.1529289

On existence and construction of stabilizing switching laws between two unstable linear systems

Yew-Wen Liang^*, Yu Huan Tan, Sheng Dong Xu, Jia Liang Chang

^*Corresponding author for this work

National Chiao Tung University

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

1 Scopus citations

Abstract

Issues regarding the application of two equivalent sufficient conditions for the existence of stabilizing switching laws between two unstable linear systems are studied. One of the conditions is effective for theoretical derivation, while the other is easily implementable. To further understand the geometrical Insight of the conditions, an equivalent condition involving the information of eigenvalues and eigenvectors of system dynamics is presented for planar cases. With the help of the equivalent relation, a condition for the existence of controllers and stabilizing switching laws between two unstabilizable linear control systems is also presented. The controllers and stabilizing switching laws are explicitly constructed through the use of an existed algorithm.

Original language	English
Title of host publication	Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05
Pages	394-397
Number of pages	4
DOIs	https://doi.org/10.1109/ICMECH.2005.1529289
State	Published - 1 Dec 2005
Event	2005 IEEE International Conference on Mechatronics, ICM '05 - Taipei, Taiwan Duration: 10 Jul 2005 → 12 Jul 2005

Publication series

Name	Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05
Volume	2005

Conference

Conference	2005 IEEE International Conference on Mechatronics, ICM '05
Country	Taiwan
City	Taipei
Period	10/07/05 → 12/07/05

Keywords

Switched systems and linear systems

Access to Document

10.1109/ICMECH.2005.1529289

Link to publication in Scopus

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Liang, Y-W., Tan, Y. H., Xu, S. D., & Chang, J. L. (2005). On existence and construction of stabilizing switching laws between two unstable linear systems. In Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05 (pp. 394-397). [1529289] (Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05; Vol. 2005). https://doi.org/10.1109/ICMECH.2005.1529289

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title = "On existence and construction of stabilizing switching laws between two unstable linear systems",

abstract = "Issues regarding the application of two equivalent sufficient conditions for the existence of stabilizing switching laws between two unstable linear systems are studied. One of the conditions is effective for theoretical derivation, while the other is easily implementable. To further understand the geometrical Insight of the conditions, an equivalent condition involving the information of eigenvalues and eigenvectors of system dynamics is presented for planar cases. With the help of the equivalent relation, a condition for the existence of controllers and stabilizing switching laws between two unstabilizable linear control systems is also presented. The controllers and stabilizing switching laws are explicitly constructed through the use of an existed algorithm.",

keywords = "Switched systems and linear systems",

author = "Yew-Wen Liang and Tan, {Yu Huan} and Xu, {Sheng Dong} and Chang, {Jia Liang}",

year = "2005",

month = dec,

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doi = "10.1109/ICMECH.2005.1529289",

language = "English",

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series = "Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05",

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booktitle = "Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05",

note = "null ; Conference date: 10-07-2005 Through 12-07-2005",

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Liang, Y-W, Tan, YH, Xu, SD & Chang, JL 2005, On existence and construction of stabilizing switching laws between two unstable linear systems. in Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05., 1529289, Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05, vol. 2005, pp. 394-397, 2005 IEEE International Conference on Mechatronics, ICM '05, Taipei, Taiwan, 10/07/05. https://doi.org/10.1109/ICMECH.2005.1529289

On existence and construction of stabilizing switching laws between two unstable linear systems. / Liang, Yew-Wen; Tan, Yu Huan; Xu, Sheng Dong; Chang, Jia Liang.

Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05. 2005. p. 394-397 1529289 (Proceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05; Vol. 2005).

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

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