Nonfragile H-infinity output tracking control for uncertain singular Markovian jump delay systems with network-induced delays and data packet dropouts

摘要

This article deals with the problem of nonfragile H output tracking control for a kind of singular Markovian jump systems with time-varying delays, parameter uncertainties, network-induced signal transmission delays, and data packet dropouts. The main objective is to design mode-dependent state-feedback controller under controller gain perturbations and bounded modes transition rates such that the output of the closed-loop networked control system tracks the output of a given reference system with the required H output tracking performance. By constructing a more multiple stochastic Lyapunov-Krasovskii functional, the novel mode-dependent and delay-dependent conditions are obtained to guarantee the augmented output tracking closed-loop system is not only stochastically admissible but also satisfies a prescribed H-norm level for all signal transmission delays, data packet dropouts, and admissible uncertainties. Then, the desired state-feedback controller parameters are determined by solving a set of strict linear matrix inequalities. A simple production system example and two numerical examples are used to verify the effectiveness and usefulness of the proposed methods. (c) 2015 Wiley Periodicals, Inc. Complexity 21: 396-411, 2016