Adding virtual measurements by signal injection

TL;DR

The paper introduces a method to generate virtual measurements through high-frequency signal injection, improving control design when actual observability diminishes at steady-state, using second-order averaging and simulation validation.

Contribution

It presents a novel approach to create virtual measurements via signal injection, enhancing control design in scenarios with reduced observability.

Findings

Effective virtual measurement creation demonstrated in simulations

Method improves control design when observability degenerates

Based on second-order averaging technique

Abstract

We propose a method to "create" a new measurement output by exciting the system with a high-frequency oscillation. This new "virtual" measurement may be useful to facilitate the design of a suitable control law. The approach is especially interesting when the observability from the actual output degenerates at a steady-state regime of interest. The proposed method is based on second-order averaging and is illustrated by simulations on a simple third-order system.