- Title
- The sector bound approach to quantized feedback control
- Creator
- Fu, Minyue; Xie, Lihua
- Relation
- IEEE Transactions On Automatic Control Vol. 50, Issue 11, p. 1698-1711
- Relation
- http:/dx.doi.org/10.1109/TAC.2005.858689
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2005
- Description
- This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.
- Subject
- H/sup /spl infin// control; MIMO systems; linear systems; memoryless systems; robust control; state feedback
- Identifier
- uon:778
- Identifier
- http://hdl.handle.net/1959.13/26048
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 2005 IEEE. Reprinted from IEEE Transactions On Automatic 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.
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