Title :
Some simplifications of the graphical Nyquist criterion
Author :
Vidyasagar, M. ; Bertschmann, R.K. ; Sallaberger, C.S.
Author_Institution :
Dept. of Electr. Eng., Waterloo Univ., Ont., Canada
fDate :
3/1/1988 12:00:00 AM
Abstract :
The Nyquist criterion for feedback stability is reformulated in a very simple fashion. Using the motion of positive and negative crossings, a number of encirclements of a point by the Nyquist plot can be quickly computed. With this reformulation, it is a simple matter to determine the value of the feedback gain for which the system is stable
Keywords :
Nyquist criterion; feedback; stability; feedback gain; feedback stability; graphical Nyquist criterion; negative crossings; positive crossings; Algebra; Automatic control; Bioreactors; Control systems; Feedback; Regulators; Riccati equations; Robust stability; Stability criteria; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on