Application of Linear Matrix Inequalities Techniques to the Design of Robust Coordinated Controllers for Power Systems

Abstract This paper treats the problem of the guaranteed cost control applied to the synthesis of coordinated controllers for power systems. The proposed result ensures quadratic stability and a guaranteed value for a given quadratic cost for the closed-loop system when the decentralization constraint is present in the design problem. This method consists of a linear matrix inequality based algorithm that iteratively searches a matrix variable, L, that leads to a gain satisfying the decentralization constraint. The problem is motivated by and applied to the design of damping controllers in power systems. An application of the proposed design method to a test power system is given.