A Novel Approach For Reduction Of Linear Discrete Systems Using An Expansion Method

In this paper, certain novel algebraic schemes are proposed for obtaining reduced order models of a given stable higher order linear time invariant discrete systems (LTIDS), represented in the form of transfer functions. In this scheme, the given discrete system in the z domain is transferred to p domain by applying linear transformation, and then the p domain higher order model is equated with that of the reduced order model transfer function considered. To minimize the computations in model reduction, an expansion scheme is proposed. The equations formulated are solved to obtain the unknown parameters of the reduced order model. Then by applying inverse transformation the p domain reduced order system is transferred to z domain for the chosen performance index.The unit step response of the proposed model is compared with other techniques. To show the merits of the proposed analytical schemes, an example is illustrated and the necessary algorithm is also provided. Research Scholar, Department of Electronics and Instrumentation Engineering, Government College of Technology, Coimbatore, India Email Id: poongodiravikumar@yahoo.co.in 2 Professor and Head, Department of Electronics and Instrumentation Engineering, Government College of Technology, Coimbatore, India Professor and Head, Department of Computer Science and Engineering, PSG College of Technology, Coimbatore, India.