000003884 001__ 3884
000003884 005__ 20141118153343.0
000003884 04107 $$acze
000003884 046__ $$k2009-05-11
000003884 100__ $$aGuran, A.
000003884 24500 $$aStabilizing periodic orbits of chaotic regimes in a Kelvin type gyrostat satellite

000003884 24630 $$n15.$$pEngineering Mechanics 2009
000003884 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000003884 506__ $$arestricted
000003884 520__ $$2eng$$aIn this paper, we present a study of the dynamical behavior in a Kelvin type gyrostat satellite. We firstly obtain the Hamiltonian equations of our model by using Cardan angles as generalized coordinates. Then, we make this Hamiltonian dimensionless and calculate motion equations for this dimensionless system. The study of the Poincare’s sections of this system shows us that chaotic motion regimes are present for specific parameter values. The main goal of this work is the finding of stabilizing orbits by using a control technique, the fuzzy control of Poincare map method, so that it can be applied to stabilize special periodic orbits in this system. Finally, we expect that the technique can be useful for a better understanding of control theory and their applications in gyrostat problems.

000003884 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003884 653__ $$a

000003884 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000003884 720__ $$aGuran, A.
000003884 8560_ $$ffischerc@itam.cas.cz
000003884 8564_ $$s278448$$uhttps://invenio.itam.cas.cz/record/3884/files/Guran-160-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 160.
            
000003884 962__ $$r3852
000003884 980__ $$aPAPER