# The Implicit Rigid Tube Model Predictive Control

arXiv: https://arxiv.org/abs/2306.14543 · HTML: https://mlsanity.com/paper/2306.14543/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Jun 2023.

## Built on by (most cited first, 2 of 2)

- [Robust Model Predictive Control Design for Autonomous Vehicles with Perception-based Observers](https://mlsanity.com/paper/2509.05201/) (2025)
- [Pick-to-Learn Calibration of an MPC Policy for an Origin-to-Destination Flight Problem](https://mlsanity.com/paper/2607.16084/) (2026)

## Abstract (arXiv)

A computationally efficient reformulation of the rigid tube model predictive control is developed. A unique feature of the derived formulation is the utilization of the implicit set representations. This novel formulation does not require any set algebraic operations to be performed explicitly, and its implementation requires merely the use of the standard optimization solvers.