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The root locus method can also be used for the analysis of sampled data systems by computing the root locus in the z-plane, the discrete counterpart of the s-plane. The equation z = e sT maps continuous s -plane poles (not zeros) into the z -domain, where T is the sampling period.
Walter Richard Evans (January 15, 1920 – July 10, 1999) was a noted American control theorist and the inventor of the root locus method and the Spirule device in 1948. He was the recipient of the 1987 American Society of Mechanical Engineers Rufus Oldenburger Medal [1] and the 1988 AACC's Richard E. Bellman Control Heritage Award.
English: Original work by Whiteknight to illustrate root-locus diagram in Wikibook "Control Systems". Edited Octave function file "rlocus.m" to make markers more visible Edited Octave function file "rlocus.m" to make markers more visible
Root locus; Transfer function; Liénard–Chipart criterion (variant requiring fewer computations) Kharitonov's theorem (variant for unknown coefficients bounded within intervals) Jury stability criterion (analog for discrete-time LTI systems) Bistritz stability criterion (analog for discrete-time LTI systems)
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In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane which helps to convey certain properties of the system such as:
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