Robust observers for neutral jumping systems with uncertain information

Authors:
Magdi S. Mahmoud;Peng Shi;Jianqiang Yi;Jeng-Shyang Pan
Affiliations:
Canadian International College, El-Tagamoa El-Khamis, New Cairo City, Egypt;School of Technology, Division of Mathematics and Statistics, University of Glamorgan, Pontypridd, Wales CF37 1DL, United Kingdom;Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, China;Department of Electronic Engineering, National Kaohsiung University of Applied Science, 415 Chien-Kung Road, Kaohsiung 807, Taiwan, ROC
Venue:
Information Sciences: an International Journal
Year:
2006

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Abstract

In this paper, the problem of designing observer for a class of uncertain neutral systems. The uncertainties are parametric and norm-bounded. Both robust observation and robust H"~ observation methods are developed by using linear state-delayed observers. In case of robust observation, sufficient conditions are established for asymptotic stability of the system, which is independent of time delay. The results are then extended to robust H"~ observation which renders the augmented system asymptotically stable independent of delay with a guaranteed performance measure. Furthermore, a memoryless state-estimate feedback is designed to stabilize the closed-loop neutral system. In all cases, the gain matrices are determined by linear matrix inequality approach. Two numerical examples are presented to illustrate the validity of the theoretical results.