What is difference between these three?pzmap vs pzplot vs zplane?
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The pzmap and pzplot funcitons are part of the Control System Toolbox (and associated Toolboxes), with pzplot being an extended version of pzmap with more plot options. Both can handle either continuous or discrete systems.
The zplane function is part of the Signal Processing Toolbox and presents similar information, however in a completely different context and a completely different syntax. It can only handle discrete transfer functions.
Leaving aside the theoretical part of the question, you can use commandtfest from System Identification Toolbox to identify a transfer function of specified order from frequency domain data.
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