loading
Papers Papers/2022 Papers Papers/2022

Research.Publish.Connect.

Paper

Paper Unlock

Authors: Cristina Stoica ; Pedro Rodríguez-Ayerbe and Didier Dumur

Affiliation: Supélec, France

Keyword(s): Model predictive control, Multivariable systems, Polytopic uncertainties, Robust control, LMIs, BMIs.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: An off-line technique enabling to robustify an initial Model Predictive Control (MPC) for multivariable systems via the convex optimization of a Youla parameter is presented. Firstly, a multivariable predictive controller is designed for a nominal system and then robustified towards unstructured uncertainties, while guaranteeing stability properties over a specified polytopic domain of uncertainties. This condition leads to verify a Bilinear Matrix Inequality (BMI) for each vertex of the polytopic domain. This BMI can be mathematically relaxed to semi-definite programming (SDP) using a Sum of Squares (SOS) strategy, with a significant increase of the number of scalar decision variables. To overcome this inconvenient, an alternative tractable sub-optimal solution for the BMI is proposed, based on the elaboration of a stable solution obtained by minimization of the complementary sensitivity function.

CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 3.235.75.229

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Stoica, C.; Rodríguez-Ayerbe, P. and Dumur, D. (2008). OFF-LINE ROBUSTIFICATION OF PREDICTIVE CONTROL FOR UNCERTAIN SYSTEMS - A Sub-optimal Tractable Solution. In Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO; ISBN 978-989-8111-32-6; ISSN 2184-2809, SciTePress, pages 264-268. DOI: 10.5220/0001496302640268

@conference{icinco08,
author={Cristina Stoica. and Pedro Rodríguez{-}Ayerbe. and Didier Dumur.},
title={OFF-LINE ROBUSTIFICATION OF PREDICTIVE CONTROL FOR UNCERTAIN SYSTEMS - A Sub-optimal Tractable Solution},
booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO},
year={2008},
pages={264-268},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001496302640268},
isbn={978-989-8111-32-6},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO
TI - OFF-LINE ROBUSTIFICATION OF PREDICTIVE CONTROL FOR UNCERTAIN SYSTEMS - A Sub-optimal Tractable Solution
SN - 978-989-8111-32-6
IS - 2184-2809
AU - Stoica, C.
AU - Rodríguez-Ayerbe, P.
AU - Dumur, D.
PY - 2008
SP - 264
EP - 268
DO - 10.5220/0001496302640268
PB - SciTePress