LMI based sampled-data controller for synchronization on the time-delay Darcy-Brinkman model

This paper analyzed the sampled-data controller for using time-delay nonlinear systems with a bounded uncertainty approach. Based on the Lyapunov stability theory, some synchronization criteria are first obtained. Here, the time-delay is assumed to be constant and known. Instead of solving a nonlinear optimization problem, it will be developed by solving a set of linear matrix inequalities (LMIs). The controller gains can be obtained by solving a set of LMIs. During the development of the Darcy-Brinkman model, numerical examples are used to demonstrate the accuracy and dependability of the presented approaches. Finally, numerical simulations show that the proposed solutions are effective and feasible.