Design of dynamic output-feedback controller for stabilization of uncertain neutral systems

In this paper, the design problem of dynamic output feedback controller for asymptotic stabilization of uncertain neutral systems has been considered. A criterion for the existence of such controllers is derived based on linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the controllers is given in terms of the feasible solutions to the inequalities, which can be solved by various optimization algorithms. A numerical example is given to illustrate the proposed design method.