Imperial College London

DrBenoitChachuat

Faculty of EngineeringDepartment of Chemical Engineering

Reader in Process Systems Engineering
 
 
 
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Contact

 

b.chachuat Website

 
 
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Location

 

354ARoderic Hill BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Villanueva:2017:10.1016/j.automatica.2016.11.022,
author = {Villanueva, ME and Quirynen, R and Diehl, M and Chachuat, B and Houska, B},
doi = {10.1016/j.automatica.2016.11.022},
journal = {AUTOMATICA},
pages = {311--321},
title = {Robust MPC via min-max differential inequalities},
url = {http://dx.doi.org/10.1016/j.automatica.2016.11.022},
volume = {77},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - This paper is concerned with tube-based model predictive control (MPC) for both linear and nonlinear, input-affine continuous-time dynamic systems that are affected by time-varying disturbances. We derivea min-max differential inequality describing the support function of positive robust forward invariant tubes, which can be used to construct a variety of tube-based model predictive controllers. These constructions are conservative, but computationally tractable and their complexity scales linearly with the length of the prediction horizon. In contrast to many existing tube-based MPC implementations, the proposed framework does not involve discretizing the control policy and, therefore, the conservatism of the predicted tube depends solely on the accuracy of the set parameterization. The proposed approach is then used to construct a robustMPCscheme based on tubes with ellipsoidal cross-sections. This ellipsoidal MPC scheme is based on solving an optimal control problem under linear matrix inequality constraints. We illustrate these results with the numerical case study of a spring-mass-damper system.
AU - Villanueva,ME
AU - Quirynen,R
AU - Diehl,M
AU - Chachuat,B
AU - Houska,B
DO - 10.1016/j.automatica.2016.11.022
EP - 321
PY - 2017///
SN - 0005-1098
SP - 311
TI - Robust MPC via min-max differential inequalities
T2 - AUTOMATICA
UR - http://dx.doi.org/10.1016/j.automatica.2016.11.022
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000395354700033&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR - http://hdl.handle.net/10044/1/42771
VL - 77
ER -