Output Stabilization of Lure-Type MIMO Nonlinear Control Systems in Given Set

The paper considers the problem of stabilizing the output variables of a Lure-type nonlinear system within a specified set at any given time. In order to resolve the problem, a specialized coordinate transformation is employed to convert the initial constrained problem into the study of input-to-state stability (ISS) for an extended system devoid of constraints. For the new system, nonlinear control laws are obtained using the technique of linear matrix inequalities (LMI). The effectiveness of the proposed method and the validity of the theoretical conclusions are demonstrated through numerical examples.