Synthesis of modal regulators with an observer of Luangberger of a state object of incomplete order

Abstract

The solution of the problem of constructing modal regulators for linear multidimensional systems providing D-stability (asymptotic stability) of the control object is given. A constructive solution to the problem of synthesis of D-stabilizer (modal) regulators measured by output control object based on the construction of the facility monitors certain order on the basis of the theory of linear matrix inequalities (LMI). The described methods for solving the problem not only of direct modal control, but other tasks modal regulations, which demand precise placing the roots in the left half-plane complex is not applied, and only need their belonging to given areas