Computational Complexity Certification for Real-Time MPC With Input Constraints Based on the Fast Gradient Method

By Stefan Richter, Colin Neil Jones, Manfred Morari. IEEE Transactions on Automatic Control, 2012

317 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a9365548a6198b844682da2f52940eb2d21bac28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Brendan O'Donoghue
2. Stefano Di Cairano
3. Ilya V. Kolmanovsky
4. Panagiotis Patrinos
5. Stephen P. Boyd
6. Emanuele Garone
7. Alberto Bemporad
8. Giorgos Stathopoulos

In Numerical Analysis

1. Brendan O'Donoghue
2. Alberto Bemporad
3. Ilya V. Kolmanovsky
4. Stefano Di Cairano
5. Emanuele Garone
6. Stephen P. Boyd
7. Panagiotis Patrinos
8. Giorgos Stathopoulos

Citations in the corpus

• A Splitting Method for Optimal Control (2013, background): “For other work exploring the use of fixed point arithmetic in control see [29,37,38].”
• Reference and command governors for systems with constraints: A survey on theory and applications (2017, methodology): “In [203] a first order method based on Nesterov’s fast gradient algorithm [181] has been developed, which is very effective when only simple constraints, e.”
• An Accelerated Dual Gradient-Projection Algorithm for Embedded Linear Model Predictive Control (2014, methodology): “The example considers a plate tilted around two axes to control the position of a ball [16].”
• Online Optimal Control with Linear Dynamics and Predictions: Algorithms and Regret Analysis (2019, background): “The control-based reparameterization has been discussed in literature [54].”