Decentralized stabilization approach for interconnected discrete-time delay systems with bounded non-linearities

In this paper, a new approach to decentralized feedback stabilization of a class of non-linear interconnected discrete-time systems is proposed. This class of systems has unknown-but-bounded state-delay and uncertain non-linear perturbations satisfying quadratic constraints. The proposed approach is formulated within the framework of convex optimization over linear matrix inequalities. The developed methods employ linear state feedback and linear output feedback structure involving local Luenberger-type observer. All the closed-loop systems guarantee global delay-dependent stability condition which is derived in terms of subsystem variables. Incorporating feedback gain perturbations, new resilient decentralized feedback schemes are developed. All the developed results are tested on a representative example. The author 2010. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.2010