# Optimal L-Infinity Frequency Control in Microgrids Considering Actuator Saturation

arXiv: https://arxiv.org/abs/1910.03720 · HTML: https://mlsanity.com/paper/1910.03720/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Oct 2019.

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

- [Lyapunov-Regularized Reinforcement Learning for Power System Transient Stability](https://mlsanity.com/paper/2103.03869/) (2021)

## Abstract (arXiv)

Inverter-connected resources can improve transient stability in low-inertia grids by injecting active power to minimize system frequency deviations following disturbances. In practice, most generation and load disturbances are step changes and the engineering figure-of-merit is often the peak overshoot in frequency resulting from these step disturbances. In addition, the inverter-connected resources tend to saturate much more easily than conventional synchronous machines. However, despite these challenges, standard controller designs must deal with averaged quantities through H2 or H_∞ norms and must account for saturation in ad hoc manners. In this paper, we address these challenges by explicitly considering L_∞ control with saturation using a linear matrix inequality-based approach. We show that this approach leads to significant improvements in stability performance.