Attracting ellipsoids and synthesis of oscillatory regimes

Attracting ellipsoids and synthesis of oscillatory regimes

An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V.I. Zubov’s stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces R 2 k ⊂ R 2 n w...

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Veröffentlicht in:Automation and remote control 2009-08, Vol.70 (8), p.1301-1308
Hauptverfasser: Gorobtsov, A. S., Grigor’eva, O. E., Ryzhov, E. N.
Format: Artikel
Sprache:eng
Schlagworte:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Determinate Systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
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Beschreibung
Zusammenfassung:An approach to stabilization of nonlinear oscillations in multidimensional spaces is proposed on the basis of the V.I. Zubov’s stability theory for invariant sets. As a special case, the derived controls make it possible to excite self-oscillating regimes in specified state subspaces R 2 k ⊂ R 2 n with simultaneous oscillation damping on Cartesian products R 2 n −2 k .
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117909080037