ANALYSIS OF LINEAR DISCRETE SISO CONTROL-SYSTEMS VIA A SET OF DELTA-FUNCTIONS

The paper presents a computational technique through operational matri ces using a set of mutually disjoint delta functions (DF) for the anal ysis of linear discrete control systems. Following a brief review of t he well known block pulse functions (BPF), a new set of delta function s is viewed in the same light. This set is used to develop operational transfer functions in the delta function domain (DOTF) and employed f or discrete system analysis which results in the same accuracy as the conventional z-transform method. The presented technique uses simple m atrix manipulations and is able to do away with laborious and involved algebraic steps, including inverse transformation, associated with th e z-transform analysis without losing accuracy. Also, the accuracy of sample values of the output does not depend upon m (or the sampling in terval h). A few linear discrete SISO control systems, open loop as we ll as closed loop, having different typical plant transfer functions, are analysed as illustrative examples.