Title :
A result on time-varying compensation in l1-sensitivity minimization
Author :
Meyer, David G. ; Dahleh, Munther A.
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
It is shown that time-varying controllers give no improvement over time-invariant controllers in the weighted l1-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, l1 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;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194347
