Output PI control of MIMO linear continuous-time systems

Abstract

The paper is concerned with the problem of designing PI output feedback control laws for linear time-invariant systems. Since this problem is generally stated as a bilinear optimization problem, using standard form of Lyapunov function and symmetric positive definite slack matrices, an enhanced algorithm is introduced with incidence of a scalar tuning parameter. The solution, obtained through linear matrix inequalities and equalities formulation, also unifies the control law design LMIbased procedure. The results, offering the conditions of PI output controller existence, are illustrated with numerical examples to note effectiveness and applicability of the considered approach.