Analytical design of optimal controllers under permanent stochastic disturbances as applied to the design of vibration isolation systems

Abstract

An approach to the design of vibroprotection systems for objects subjected to stochastic disturbances was developed on the basis of a procedure for analytical design of the optimal controller. For that, this procedure was generalized to the case of permanently acting stationary stochastic disturbances. When solving the problem of designing the vibration isolation system, the optimizing functional was constructed so that minimization provided reduction in the dynamic actions on the object with the observance of the overall disturbances. Technical feasibility of the vibration isolation system designed using the elastodamping suspensions and dampers with transformation of motion was demonstrated.