- Title
- Feedback stabilisation of switched systems via iterative approximate eigenvector assignment
- Creator
- Haimovich, Hernan; Braslavsky, Julio H.
- Relation
- 49th IEEE Conference on Decision and Control (CDC 2010). Proceedings of the 49th IEEE Conference on Decision and Control (Atlanta, GA 15-17 December, 2010) p. 1269-1274
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2010.5717972
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2010
- Description
- This paper presents and implements an iterative feedback design algorithm for stabilisation of discrete-time switched systems under arbitrary switching regimes. The algorithm seeks state feedback gains so that the closed-loop switching system admits a common quadratic Lyapunov function (CQLF) and hence is uniformly globally exponentially stable. Although the feedback design problem considered can be solved directly via linear matrix inequalities (LMIs), direct application of LMIs for feedback design does not provide information on closed-loop system structure. In contrast, the feedback matrices computed by the proposed algorithm assign closedloop structure approximating that required to satisfy Liealgebraic conditions that guarantee existence of a CQLF. The main contribution of the paper is to provide, for single-input systems, a numerical implementation of the algorithm based on iterative approximate common eigenvector assignment, and to establish cases where such algorithm is guaranteed to succeed. We include pseudocode and a few numerical examples to illustrate advantages and limitations of the proposed technique.
- Subject
- switched systems; arbitrary switching; solvable Lie algebras; common eigenvector; linear matrix inequalities; simultaneous triangularisation
- Identifier
- http://hdl.handle.net/1959.13/933337
- Identifier
- uon:11604
- Identifier
- ISBN:9781424477463
- Identifier
- ISSN:0743-1546
- Rights
- Copyright © 2010 IEEE. Reprinted from the Proceedings of the 49th IEEE Conference on Decision and Control. 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 the 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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