l2-gain analysis of discrete-time systems with saturation nonlinearity using parameter dependent Lyapunov function

In this paper, we propose a method of estimating l₂-gain of discrete-time linear systems with input saturation. The proposed analysis condition is derived based on the parameter dependent Lyapunov function (PDLF), and it is reduced to a set of linear matrix inequalities (LMIs). We show that the condition is guaranteed to be less conservative than several existing conditions. A numerical example is provided to illustrate effectiveness of the proposed method.