ELFT HÍRADÓ

[Tamas Insperger <inspi AT mm.bme.hu>]

MEGHÍVÓ

Eric A. Butcher
Mechanical and Aerospace Engineering Dept., New Mexico State University

Stability, center manifold reduction, and control of periodic delayed 
systems

címmel előadást tart

2008. október 21-én (kedden) 15.00 órakor

Az előadás helye: Műszaki Mechanikai Tanszék Könyvtára ("MM" épület I. 
em. 29).

Minden érdeklődőt szívesen látunk.


Abstract

The problems of stability analysis, center manifold reduction, and 
control of systems with time-periodic coefficients and time-delay are 
addressed.  Stability analysis is performed using a numerical algorithm 
based on the Chebyshev collocation method.  The problem of milling 
stability is discussed and stability charts are shown for several cases, 
including the case of multiple engaged cutting teeth.  Next, the problem 
of center manifold reduction of nonlinear periodic delayed systems is 
tackled using the Chebyshev collocation method to form an equivalent 
high-dimensional nonlinear map.  Finally, Chebyshev polynomial expansion 
is utilized for open-loop optimal control, delayed feedback control, and 
chaos control of nonlinear periodic delayed systems to periodic 
trajectories using a combination of feedforward and feedback controllers.