- Title
- Componentwise ultimate bound computation for switched linear systems
- Creator
- Haimovich, Hernan; Seron, María M.
- Relation
- 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009 (CDC/CCC 2009). Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009 (Shanghai, China 15-18 December, 2009) p. 2150-2155
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2009.5399603
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- We present a novel ultimate bound computation method for switched linear systems with disturbances and arbitrary switching. We consider both discrete-time and continuous-time systems. The proposed method relies on the existence of a transformation that takes all matrices of the switched linear system into a convenient form satisfying certain properties. The method provides ultimate bounds in the form of polyhedral sets and/or mixed ellipsoidal/polyhedral sets, and it is completely systematic once the aforementioned transformation is obtained. We show that the transformation can be found in the well-known case where the matrices of the switched linear system generate a solvable Lie algebra. In the latter case, our results also constitute a new sufficient condition for practical stability. An example comparing the bounds obtained by the proposed ultimate bound computation method with those obtained from a common quadratic Lyapunov function computed via linear matrix inequalities shows a clear advantage of the proposed method in some cases.
- Subject
- switched linear systems; componentwise ultimate bounds; Lyapunov function; linear matrix inequalities
- Identifier
- http://hdl.handle.net/1959.13/919018
- Identifier
- uon:8760
- Identifier
- ISBN:9781424438723
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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