TY - JOUR
T1 - VIBRATIONAL CONTROL OF A CLASS OF NONLINEAR SYSTEMS BY NONLINEAR MULTIPLICATIVE VIBRATIONS.
AU - Bentsman, Joseph
PY - 1986
Y1 - 1986
N2 - Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.
AB - Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.
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U2 - 10.1109/cdc.1986.267396
DO - 10.1109/cdc.1986.267396
M3 - Conference article
AN - SCOPUS:0023010284
SN - 0191-2216
SP - 2042
EP - 2047
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -