Delay-dependent H∞ control for linear systems with a time-delay and interval randomly varying disturbances

Abstract

This paper considers a delay-dependent H∞ problem for linear systems with a constant time-delay and interval randomly varying disturbances. It is assumed that the variance probability of disturbances satisfies the Bernoulli distribution. By constructing a suitable Lyapunov-Krasovskii functional, an H∞ control criterion for the system is proposed in terms of linear matrix inequalities (LMIs) which can be easily solvable by effective optimization algorithms. One numerical example is included to demonstrate the effectiveness of the presented criterion with designed controller.