- Title
- Quantized stabilization of Markov jump linear systems via state feedback
- Creator
- Xiao, Nan; Xie, Lihua; Fu, Minyue
- Relation
- American Control Conference 2009 (ACC '09). Proceedings of the American Control Conference 2009 (St Louis, MO 10-12 June, 2009) p. 4020-4025
- Publisher Link
- http://dx.doi.org/10.1109/ACC.2009.5160106
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- This paper addresses the quantized stabilization problem for single-input Markov jump systems. Mode-dependent and mode-independent quadratic control Lyapunov functions based on the availability of mode information at controller/quantizer are considered for the quantized feedback. Similar to the linear time-invariant case, it is shown that a mode-dependent (respectively, mode-independent) logarithmic quantizer is optimal (coarsest) in the mean square quadratic stability (respectively, strongly mean square quadratic stability) sense for Markov jump systems. Moreover, the sector bound approach is shown to be nonconservative in investigating the corresponding quantized state feedback problem. Under an appropriate definition of quantization coarseness, we also present a method of optimal quantizer design in terms of linear matrix inequalities. Several examples including applications in networked control systems are given to demonstrate the results.
- Subject
- Markov processes; linear matrix inequalities; linear systems; stability; state feedback; time-varying systems
- Identifier
- uon:8709
- Identifier
- http://hdl.handle.net/1959.13/918795
- Identifier
- ISBN:9781424445240
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the American Control Conference 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.
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