Decentralized H∞ control for large-scale interconnected nonlinear time-delay systems via LMI approach

In this paper, the problem of H∞ 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∞ control is established in terms of linear matrix inequalities (LMIs). The approach is applied to decentralized H∞ control of uncertain linear systems with interval time-varying delay. Numerical examples are given to show the effectiveness of the obtained results.

► We develop decentralized H-infinity control for large-scale nonlinear systems with interval time-varying delays in state and observation.
► Constructing a set of new augmented Lyapunov–Krasovskii functionals, a new delay-dependent condition for the decentralized H∞ control is established in terms of LMIs.
► The approach is applied to decentralized H∞ control of uncertain linear systems with interval time-varying delay.