Brunel University Research Archive (BURA) >
Schools >
School of Information Systems, Computing and Mathematics >
School of Information Systems, Computing and Mathematics Research Papers >

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4058

Title: Observer-based H∞ control for systems with repeated scalar nonlinearities and multiple packet losses
Authors: Dong, H
Wang, Z
Gao, H
Keywords: Observer-based H∞ control
Repeated scalar nonlinearity
Stochastic stability
Multiple missing measurements
Linear matrix inequalities
Publication Date: 2009
Publisher: Wiley
Citation: International Journal of Robust and Nonlinear Control. 20(12): 1363-1378, Aug 2010
Abstract: This paper is concerned with the H∞ control problem for a class of systems with repeated scalar nonlinearities and multiple missing measurements. The nonlinear system is described by a discrete-time state equation involving a repeated scalar nonlinearity, which typically appears in recurrent neural networks. The measurement missing phenomenon is assumed to occur, simultaneously, in the communication channels from the sensor to the controller and from the controller to the actuator, where the missing probability for each sensor/actuator is governed by an individual random variable satisfying a certain probabilistic distribution in the interval [0 1]. Attention is focused on the analysis and design of an observer-based feedback controller such that the closed-loop control system is stochastically stable and preserves a guaranteed H∞ performance. Sufficient conditions are obtained for the existence of admissible controllers. It is shown that the controller design problem under consideration is solvable if certain linear matrix inequalities (LMIs) are feasible. Three examples are provided to illustrate the effectiveness of the developed theoretical results
URI: http://bura.brunel.ac.uk/handle/2438/4058
http://onlinelibrary.wiley.com/doi/10.1002/rnc.1519/abstract
DOI: http://dx.doi.org/10.1002/rnc.1519
ISSN: 1049-8923
Appears in Collections:Information Systems and Computing
School of Information Systems, Computing and Mathematics Research Papers

Files in This Item:

File Description SizeFormat
Fulltext.pdf274.29 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.

 


Library (c) Brunel University.    Powered By: DSpace
Send us your
Feedback. Last Updated: September 14, 2010.
Managed by:
Hassan Bhuiyan