A new approach on H∞ control of linear singular perturbation systems

In this paper a new approach for solving the H
∞
control problem using static state-feedback for LTI singular perturbation systems is proposed. The proposed controller is given in terms of the solution of a set of matrix inequalities independent of the singular parameter ε. These inequalities are not in the form of linear matrix inequalities (LMI). By introducing a new algorithm, these inequalities are solved through LMI formulation. To show the effectiveness of the proposed algorithm comparing to other methods, an illustrative example is also provided.