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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-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 languageEnglish
Title of host publicationProceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05
Pages394-397
Number of pages4
DOIs
StatePublished - 1 Dec 2005
Event2005 IEEE International Conference on Mechatronics, ICM '05 - Taipei, Taiwan
Duration: 10 Jul 200512 Jul 2005

Publication series

NameProceedings of the 2005 IEEE International Conference on Mechatronics, ICM '05
Volume2005

Conference

Conference2005 IEEE International Conference on Mechatronics, ICM '05
CountryTaiwan
CityTaipei
Period10/07/0512/07/05

Keywords

  • Switched systems and linear systems

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