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Since root locus is a graphical angle technique, root locus rules work the same in the z and s planes. The idea of a root locus can be applied to many systems where a single parameter K is varied. For example, it is useful to sweep any system parameter for which the exact value is uncertain in order to determine its behavior.
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.
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:
In root-locus design, the gain K is usually parameterized. Each point on the locus satisfies the angle condition and magnitude condition and corresponds to a different value of K. For negative feedback systems, the closed-loop poles move along the root-locus from the open-loop poles to the open-loop zeroes as the gain is increased
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
These systems can be solved by powerful frequency domain mathematical techniques of great generality, such as the Laplace transform, Fourier transform, Z transform, Bode plot, root locus, and Nyquist stability criterion. Nonlinear control theory covers a wider class of systems that do not obey the superposition principle.
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The Nyquist plot for () = + + with s = jω.. In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker [] at Siemens in 1930 [1] [2] [3] and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, [4] is a graphical technique ...