IEEE Transactions on Automatic Control, Vol.50, No.1, 95-100, 2005
New results on delay-dependent control of time-delay systems
This note presents new results pertaining to the delay-dependent stability and control design of a class of linear time-delay systems. A new state transformation is introduced to exhibit the delay-dependent dynamics. For stability, we construct an appropriate Lyapunov functional to derive delay-dependent linear matrix inequality-based sufficient condition. For the feedback control design, we establish schemes based on quadratic H-2 performance, H-infinity criteria and simultaneous H-2/H-infinity synthesis. Under the developed transformation, both the instantaneous and delayed feedback control yield identical results. Numerical examples are presented to illustrate the analytical development.