Title :
Equation for loop bound in quantitative feedback theory
Author :
Wang, G.G. ; Chen, C.W. ; Wang, S.H.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Davis, CA, USA
Abstract :
According to quantitative feedback theory, in the single-input single-output case, there exists at each frequency a lower bound for the nominal loop transmission function to satisfy the frequency-domain specification. It is proved that, in the complex plane, this lower bound is the boundary of a set of circles with centers and radii known. In the Nichols chart, the magnitude of the lower bound may not be a single-valued function of the phase
Keywords :
control system analysis; feedback; frequency-domain analysis; stability; Nichols chart; SISO systems; frequency-domain specification; loop bound; lower bound; nominal loop transmission function; quantitative feedback; single-valued function; stability; Bandwidth; Equations; Feedback loop; Frequency; Frequency domain analysis; Stability; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261088