LMI based output PS control design for discrete-time linear MIMO systems

The paper is concerned with the problem of feedback control law design in the form of PS output controller for linear discrete-time systems. Since these tasks generally make towards bilinear optimization problems, using the standard quadratic form of Lyapunov function and a symmetric positive definite slack matrix, an enhanced form of algorithm is introduced. The solution, obtained through linear matrix inequalities and equalities formulation, also unifies the control law design procedure. The obtained results, offering the conditions of PS output controller existence, are illustrated with numerical examples to note effectiveness and applicability of the considered approach.