Title :
Vibrational control of a class of nonlinear systems by nonlinear multiplicative vibrations
Author :
Bentsman, Joseph
Author_Institution :
University of Illinois at Urbana-Champaign, Urbana, Il
fDate :
8/1/1987 12:00:00 AM
Abstract :
Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. This paper extends nonlinear vibrational control theory developed in [8], [9] to systems controlled by nonlinear multiplicative vibrations. Condition for partial vibrational stabilization with respect to a component of a 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 on the example of a catalytic reactor, using a combination of numerical and analytical techniques.
Keywords :
Mechanical factors; Nonlinear systems; Stability, nonlinear systems; Control systems; Control theory; Laser feedback; Motion control; Nonlinear control systems; Nonlinear systems; Steady-state; Vectors; Vibration control; Vibration measurement;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104698