# Optimal nonlinear damping control of second-order systems

arXiv: https://arxiv.org/abs/2003.05670 · HTML: https://mlsanity.com/paper/2003.05670/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Mar 2020.

## Built on by (most cited first, 1 of 1)

- [Biomembrane-based Memcapacitive Reservoir Computing System for Energy Efficient Temporal Data Processing](https://mlsanity.com/paper/2305.12025/) (2023)

## Abstract (arXiv)

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global stability, passivity property, and convergence time and accuracy are demonstrated. Also the control saturation case is explicitly analyzed. The suggested nonlinear damping is denoted as optimal since requiring no design additional parameters and ensuring a fast convergence, without transient overshoots for a non-saturated and one transient overshoot for a saturated control configuration.