ABSTRACT
This chapter presents a computational technique through one-shot operational matrices using a set of mutually disjoint delta functions (DF) for the analysis of linear discrete control systems. The delta function set is used to develop operational transfer functions in the delta function domain (DOTF) and employed for discrete system analysis using an operational technique. The results obtained have the same accuracy as that of conventional z-transform method.
The presented technique uses simple matrix manipulations and is able to do away with laborious and involved algebraic steps, including inverse transformation, associated with the z-transform analysis without compromising accuracy. A few linear discrete SISO control systems, open loop as well as closed loop, having different typical plant transfer functions, are analyzed as illustrative examples. At the end of this chapter, six study problems are included for the benefit of the readers.
