ABSTRACT
This chapter presents several block diagrams for digital control systems, including their corresponding transfer function in terms of z. The transfer function represents the z-transform of the impulse response. The transfer function is defined as the ratio of the z-transform of the output for a linear invariant system to the z-transform of its input, when the initial conditions are zero and corresponds to a relation which describes the dynamics of the system under consideration. Signal flow graphs (SFGs), similar to block diagrams, provide an overview of the system and represent an alternative representation of the relationship among the variables of the system. SFG theory was developed by S. J. Mason and is implemented in any system without the need to simplify the functional diagram, which is a particularly laborious process for complex diagrams.
