Classical LQG's limitation and modification in stochastic vibration system

TL;DR

This paper identifies limitations of classical LQG control in stochastic vibration systems and proposes a modified vLQG strategy that improves control effectiveness based on stochastic averaging analysis.

Contribution

It introduces a modified vLQG control strategy addressing classical LQG's inefficiency in stochastic vibration systems, validated through numerical results.

Findings

Classical LQG is not fully optimal for stochastic vibration control.

Modified vLQG outperforms classical LQG in control effectiveness.

Numerical simulations confirm improved performance of vLQG.

Abstract

The function of control force is deduced by stochastic averaging method in shochastic vibration system.It is found that classical LQG is not full optimization because control force from displacement is of no effect to depress stochastic response.A modified vLQG control strategy is proposed . Numerical result shows that vLQG has better control effectiveness comparing with classical LQG control strategy.