On the Space-Time Local Active Control

Abstract

The traditional active control approach includes the following steps: (1) measuring of the wave field; (2) extracting (identification) of total space-time structure of the wave to be damped fro the data measured; (3) generating of the cancelling wave i.e. the one inverted with respect to the wave to be damped. This paper is devoted to the searching of alternative approaches, when we can produce the damping wave without knowledge of the structure of the wave to be damped or make active wave damping without damping wave at all. Four algorithms (approaches) are proposed below for the space one-dimensional active damping problem. These algorithms ensure the solution operating in the sapce-time region of a scale much less than the minimum space-time scale of the wave to be damped i.e. this control is local in space and time.