Method of Vibrational Control in the Problem of Stabilization of Chemical Reactors: Final Report for Period January 1, 1985-April 30, 1987

摘要

The main objective of this research project was to complete the development of a new control technique, referred to as Vibrational Control, and apply it to stabilization of chemical reactors. This objective has been achieved and the following results have been obtained: the theory of vibrational stabilizability and vibrational controllability for nonlinear systems has been developed; a new technique for asymptotic analysis of stochastic dynamical systems has been derived; a vibrational control approach to linear and nonlinear distributed parameter systems has been suggested; the methods obtained have been applied to exothermic CSTR's; and the foundations of vibrational feedback control theory have been developed and it was shown that vibrational feedback control offers additional capabilities in comparison with time invariant controllers. (ERA citation 12:039354)