- Title
- On the robustness of multivariable algebraic loops with sector nonlinearities
- Creator
- Syaichu-Rohman , Arief; Middleton, Richard H.
- Relation
- 41st IEEE Conference on Decision and Control. Proceedings of the 41st IEEE Conference on Decision and Control (Las Vegas, Nevada 10-13 Dec, 2002) p. 1054-1059
- Relation
- http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1184650
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2002
- Description
- The paper is motivated by multivariable 'anti-windup' schemes. Such schemes are often described in a form that includes a multivariable algebraic loop. Multivariable algebraic loops may be particularly problematic in terms of well-posedness (the existence and uniqueness of the solutions) and robust stability. Conditions for well-posedness of such loops have been analysed previously. Here we extend this analysis to consider robust stability of the algebraic loop with small time-delays. It is shown that sufficient conditions for robustness of the algebraic loop can be directly incorporated into an LMI based static anti-windup controller synthesis. In addition, an alternative implementation of the algebraic loop is shown to have robustness without altering the LMI set up.
- Subject
- control nonlinearities; control system synthesis; delays; feedback; linear matrix inequalities; multivariable control systems; robust control
- Identifier
- http://hdl.handle.net/1959.13/28646
- Identifier
- uon:2160
- Identifier
- ISBN:0780375165
- Rights
- Copyright © 2002 IEEE. Reprinted from Proceedings of the 41st IEEE Conference on Decision and Control, 1054-1059. 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
- Reviewed
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