Dissipative control for linear time-delay systems based a modified equivalent-input-disturbance approach

This study discusses the dissipativity problem of a type of linear time-delay systems with exogenous disturbance. A modified equivalent-input-disturbance (MEID) method is used to estimate and compensate for the adverse effects of exogenous disturbance on the system output. To address the dissipation issue of time-delay systems, an output-feedback control rate with disturbance-rejection capability is suggested based on the MEID approach. Then, a suitable Lyapunov–Krasovskii function is constructed. On this basis, the stability conditions and dissipation criteria of the closed-loop system are obtained by combining the free-weight-matrix method. Finally, a numerical example is provided to highlight the benefits of the suggested approach.