Controllers design for two interconnected systems via unbiased observers

Abstract

Abstract This paper proposes functional observer based controller for each subsystem of two interconnected system. The new approach that we use to express the control error permits to use some results on large scale delay systems to solve the problem. The proposed controllers are free of the interconnection terms, and the observation errors are unbiased. The observers based controllers are designed via some matrices gains which are obtained via LMIs (i.e. via a tractable approach) from the Lyapunov stability results. An algorithm is given for the computation of the solutions. The result can be extended for the H∞ control of linear and nonlinear large scale systems.