Construction method of active vibration control system without using mathematical models of controlled objects

Abstract

This study presents a construction method of an active vibration control system which does not require mathematical models of controlled objects. A virtual controlled object (VCO) which is a user-defined single-degree-of-freedom (SDOF) system is introduced between an actuator model and an actual controlled object. The appropriate parameter selection of the VCO yields the model-free vibration control. A state equation for the model-free controller design is derived based on the actuator model and the VCO. A model-free state feedback controller is designed via the traditional linear quadratic regulator (LQR) theory. A reference controlled object (RCO) is defined on behalf of the arbitrary controlled objects to tune the VCO-based model-free LQR. An automatic controller parameter tuning scheme is constructed based on the RCO and the simultaneous perturbation stochastic approximation (SPSA) algorithm. The effectiveness of the proposed method is examined by vibration suppression simulations.