Delay-fractioning-dependent Robust stabilization of nonlinear networked control systems

A Delay-fractioning-dependent method is proposed to investigate the stability and stabilization for nonlinear networked control systems (NNCSs), which are presented in the form of T-S fuzzy model with time-varying input delay. Different from the existing method in dealing with the time-varying delay, the whole variation interval of the delay is divided into two subintervals with equal length. Respecting for the delay belonging to different subintervals, new criteria on stability analysis of the NNCSs are obtained by checking the variation of the derivative of the Lyapunov functional in the two subintervals. Then, criteria for the stability of the NNCSs are obtained by using the convexity properties of the matrix inequality and some other new analysis techniques, which are shown in terms of nonlinear matrix inequalities and can be solved by using a cone complementarity liberalization method. Numerical examples show that the proposed method can reduce the conservativeness greatly.