A novel approach for the design of controller for higher order discrete — Time systems via its reduced model

This paper describes a technique for designing a stabilizing controller for the stable higher order discrete-time systems via its reduced model. The reduced model is obtained by the Improved Bilinear Routh Approximation Method (IBRAM). Reduced model obtained by IBRAM is then used to determine the controller for higher order discrete-time system. It is shown that the controller which is obtained from reduced model not only stabilizes the reduced model but also the higher order system. The development of the method is illustrated with a typical numerical example available in the literature.