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IMA Journal of Mathematical Control and Information 2003 20(4):411-439; doi:10.1093/imamci/20.4.411
© 2003 by Institute of Mathematics and its Applications
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Interconnected jumping time delay systems: robust and H{infty} control schemes

Magdi S. Mahmoud1 and Abdulla Ismail1

1 Faculty of Engineering, UAE University, PO Box 17555, Al-Ain, United Arab Emirates

This paper deals with the problems of decentralized robust stabilization and robust H{infty} performance for a class of continuous-time, interconnected jumping time delay systems with norm-bounded parametric uncertainties. The delays are unknown time varying in the state of each subsystem as well as in the interconnections between the subsystems. A class of decentralized observer-based feedback controllers is developed to render the closed-loop interconnected system asymptotically stable. All the design effort is undertaken at the subsystem level. It is shown that the robust control design problem can be essentially solved in term of a family of linear matrix inequalities. It has been established that the developed results encompass several existing results as special cases. The developed theory is illustrated by simulation of a multi-reach pollution model of a representative segment of the River Nile.

Keywords: Markovian jump parameters; interconnected systems; norm-bounded uncertainties; robust control; time delay systems.


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