Shaping Nonlinearity in Reset Controllers for Precision Motion Systems

TL;DR

This paper reviews and proposes a new architecture for reset controllers to approximate complex-order controllers, aiming to enhance precision, speed, and robustness in motion systems beyond linear controller limits.

Contribution

It introduces an architecture for reset control systems that can approximate complex-order controllers, addressing limitations of linear controllers in precision motion applications.

Findings

Reset controllers can be shaped to approximate complex-order transfer functions.

The proposed architecture improves control performance in precision motion systems.

The approach extends the capabilities of reset controllers beyond traditional linear limits.

Abstract

The precision motion industry has an ever-increasing demand for faster, more precise and more robust controllers. From the perspective of frequency domain and loopshaping technique, this demand has pushed the linear controllers to their inherent limits, namely, the waterbed effect and Bode's phase-gain relationship. Mathematically, complex-order transfer functions are not bound by Bode's phase-gain relationship. However, implementing them in practice is a challenge to be solved. This extended abstract will show review the previous work of the authors in shaping nonlinearities in reset controllers and contribute and propose an overall architecture for reset control systems to approximate complex order controllers.