Journal of Process Control, Vol.22, No.7, 1325-1339, 2012
Decentralized H-infinity control for large-scale interconnected nonlinear time-delay systems via LMI approach
In this paper, the problem of H-infinity control of nonlinear large-scale systems with interval time-varying delays in interconnection is considered. The time delays are assumed to be any continuous functions belonging to a given interval involved in both the state and observation output. By constructing a set of new Lyapunov-Krasovskii functionals, which are mainly based on the information of the lower and upper delay bounds, a new delay-dependent sufficient condition for the existence of decentralized H-infinity control is established in terms of linear matrix inequalities (LMIs). The approach is applied to decentralized H-infinity control of uncertain linear systems with interval time-varying delay. Numerical examples are given to show the effectiveness of the obtained results. (C) 2012 Elsevier Ltd. All rights reserved.
Keywords:H-infinity control;Large-scale system;Decentralized control;Nonlinear systems;Interval time-varying delay;Lyapunov function;Linear matrix inequalities