Robust H2 guaranteed cost control of uncertain non-linear neutral systems with mixed delays

This paper deals with the problem of robust H₂ guaranteed cost control of uncertain non-linear neutral systems. Both mixed delays and dependent delays appear in this systems at the same time. The aim is to design a robust H₂ memory guaranteed cost control law, which not only makes closed-loop system stochastically asymptotically stable for all the uncertainty, but also guarantees an adequate level of performance. A condition of delay-dependent stability and robust H₂ stabilization is proposed by using Lyapunov stability theory and the linear matrix inequalities (LMI) approach. Furthermore, a sufficient condition for the existence of the H₂ memory guaranteed cost controller is given by LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed techniques.