Robust output feedback control for multi-time delays uncertain non-linear systems

The problem of dynamic output feedback control stabilization is considered for a class of multi-time delays uncertain nonlinear systems. Based on LMI and proper Lyapunov functions, a sufficient condition for the existence of robust output feedback controller is proposed, which ensures that the closed-loop system is robust stable. The dynamic output feedback controller is designed by the feasible solution of the matrix inequality with constraint. At last, by using matrix orthogonal complement, the parameters solving methods of output feedback controller is also provided.