Title :
A shaping limitation of rational sensitivity functions with a degree constraint
Author_Institution :
Dept. of Mech. Eng., Univ. of California, Berkeley, CA, USA
Abstract :
This note concerns a certain shaping limitation of sensitivity functions. The focus is on a frequency-wise infimum of gains of rational sensitivity functions with a degree constraint. An explicit infimum is derived for a special case. The result is useful for determining the inability of sensitivity functions of low degrees to achieve a specification in the frequency domain, and thus for motivating the use of higher degree sensitivity functions to fulfill the specification.
Keywords :
concave programming; frequency-domain analysis; optimal control; pole assignment; sensitivity analysis; zero assignment; degree constraint; frequency domain; frequency-wise infimum of gains; nonconvex optimization problem; rational sensitivity functions; shaping limitation; Adaptive control; Councils; Design methodology; Feedback; Frequency domain analysis; Mechanical engineering; Poles and zeros; Stability; Transfer functions; Virtual reality;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822841
