3. Placing poles in the plane of the complex variable z , root locus method
In this paragraph, we'll use the z-transform representation of discrete systems to develop methods very similar to those derived in the case of continuous systems, where we've considered the behavior of a system in the plane of the complex variable p . Here, we will consider correction in the plane of the complex variable z .
Two classes of correctors will be studied:
one corresponding to the traditional correctors found for continuous systems: phase advance, integral action, PI, PID, and for which the corrector structure is simple;
the second, for which the simplification of poles and zeros is practiced, and which leads to correctors that are generally more complex but, conversely, to a simpler open-loop transfer function and therefore to a root locus that is easier to interpret....
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Placing poles in the plane of the complex variable z , root locus method
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