Time regularization as a solution to mitigate quantization induced performance degradation

TL;DR

This paper introduces time regularization as an effective method to reduce performance degradation caused by quantization in reset control systems, validated through simulations and experiments.

Contribution

It presents a novel application of time regularization to mitigate quantization effects in reset control, including tuning guidelines and robustness analysis.

Findings

Time regularization reduces quantization-induced degradation by nearly 10 dB in simulations.

Experimental results show several dB improvement on a high precision motion system.

The method enhances reset control performance in practical motion control applications.

Abstract

Reset control is known to be able to outperform PID and the like linear controllers. However, in motion control systems, quantization can cause severe performance degradation. This paper shows the application of time regularization to mitigate this practical issue in reset control systems. Numerical simulations have been conducted in order to analyze the cause of the quantization induced performance degradation and the effectiveness of time regularization to mitigate this degradation; with tuning guidelines for the time regularization parameter also provided. Moreover, a robustness analysis is performed. The solution is also tested experimentally on a high precision motion system for validation. It is estimated by numerical simulations that time regularization can reduce quantization induced performance degradation by almost 10 dB. Experiments have similarly shown a reduction of several dB for the high precision motion stage.