Analysis and design for bilinear discrete systems subject to input saturation

We study double linear discrete systems subject to actuator saturation which are made up of linear discrete systems subject to input saturation and state observer. We use differential convex to convert the part of nonlinear saturation into convert linear part. In other words, we suppose that domain of contractive of them is invariant, so a few conditions could be derived from the given contractively invariant ellipsoid. These conditions are shown to be less conservative than the existing conditions of other literature. Moreover, conditions can be expressed as the linear matrix inequalities optimal issue. LMI methods solve the state feedback matrix F and auxiliary matrix H to make double linear discrete systems asymptotic stable. We estimate the domain of the attraction of double linear discrete systems under input saturation by the state feedback matrix F and auxiliary matrix H. Numerical simulation demonstrates the effectiveness of the proposed method.