DocumentCode
2971329
Title
A result on time-varying compensation in l 1-sensitivity minimization
Author
Meyer, David G. ; Dahleh, Munther A.
Author_Institution
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
fYear
1988
fDate
7-9 Dec 1988
Firstpage
435
Abstract
It is shown that time-varying controllers give no improvement over time-invariant controllers in the weighted l 1-sensitivity minimization problem for SISO FDLTI (single input, single output, finite-dimensional linear time-invariant) plants with one unstable real pole or one real nonminimum-phase zero. Thus, for these plants, l 1 and H ∞ share the property of having the controller optimal over the class of all linear controllers be FDLTI. The proof for plants with one complex unstable pole or one complex nonminimum-phase zero is similar, but with a few extra technicalities
Keywords
compensation; minimisation; multidimensional systems; optimal control; poles and zeros; sensitivity analysis; SISO systems; finite dimensional systems; linear systems; nonminimum-phase zero; pole; sensitivity minimisation; time invariant systems; time-varying compensation; Control systems; Ear; Feedback control; Laboratories; Linear feedback control systems; Optimal control; Poles and zeros; Robot control; Time varying systems; Weight control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location
Austin, TX
Type
conf
DOI
10.1109/CDC.1988.194347
Filename
194347
Link To Document