Delay-dependent dynamical h∞ control of linear state-delayed systems

This paper provides a linear matrix inequality (LMI) approach to delay-dependent observer-based stabilizing and H^∞ controller design for linear state-delayed systems. The resulted delay-dependent criteria for the existence of controllers are presented by two independent LMIs via constructing a proper Lyapunov functional. The benefits of the proposed method lie in: (1) The feedback-gain and the observer-gain can be computed simultaneously; (2) The delay-bound or the H^∞ performance bound can be optimized; (3) The result obtained is less conservative than the previous work existing in the literature. A numerical example illustrates the potentiality of our claim.