Nonfragile passivity and passification of nonlinear singular networked control systems with randomly occurring controller gain fluctuation

In this article, the nonfragile passivity and passification problems are investigated for a class of nonlinear singular networked control systems (NCSs) with network‐induced time‐varying delay. In particular, the randomly occurring controller gain fluctuation is taken into consideration by introducing the stochastic variable satisfying the Bernoulli random distribution. By constructing proper Lyapunov–Krasovskii function, delay‐dependent sufficient conditions are established to guarantee the passivity of the singular NCSs. Based on the derived results, the nonfragile passification controller is further designed in terms of linear matrix inequalities. Finally, a numerical example is provided to illustrate the applicability and effectiveness of our theoretical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 200–210, 2016