Nonfragile H ∞ control for periodic stochastic systems with probabilistic measurement.

This paper addresses the problem of nonfragile H∞ control for periodic stochastic systems with probabilistic measurement. A novel Lyapunov–Krasovskii functional is formulated, which makes full use of both delay and its change rate. In view of the measurement signal, the mode-dependent stochastic variables are employed and new sufficient conditions are achieved. Finally, two numerical examples are worked out to demonstrate the effectiveness of the proposed control design.