An LMI approach to output feedback controller of neutral systems

This paper concerns on the problem of output feedback controller design for neutral systems. Generally speaking, not like a state feedback control problem, an output feedback control problem produces the non-convexity formulation in LMI so that it needs more complex computation. In this paper, we propose a sufficient condition for asymptotic stabilization by applying linear matrix inequalities (LMIs) feasible solutions. To solve the inverse relation, an iterative algorithm is applied. A numerical example is given to show the effectiveness of the proposed method.