Interval Pade Approximation for the Construction of an Approximate D-SDRE Controller

In this paper a parametric family of stabilizing controllers for a nonlinear discrete control system is obtained for different values of a parameter at the system matrix. An algorithm for constructing a stabilizing controller based on the D-SDRE approach, asymptotic methods and Padé approximations is proposed which uses asymptotic expansions in the neighborhood of the boundary and interior points of the given parameter variation interval which break it on several subintervals.