Details
| Original language | English |
|---|---|
| Article number | 109179 |
| Journal | Automatica |
| Volume | 122 |
| Early online date | 28 Aug 2020 |
| Publication status | Published - Dec 2020 |
Abstract
This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept of dissipativity for systems that are affected by external disturbances. The corresponding theoretical developments build upon set based analysis methods and lay a general theoretical foundation for a rigorous stability analysis of economic tube model predictive controllers.
Keywords
- math.OC, math.DS, Robust control, Model predictive control, Dissipativity
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
- Engineering(all)
- Control and Systems Engineering
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In: Automatica, Vol. 122, 109179, 12.2020.
Research output: Contribution to journal › Article › Research
}
TY - JOUR
T1 - A set-theoretic generalization of dissipativity with applications in Tube MPC
AU - Villanueva, Mario Eduardo
AU - Lazzari, Elena De
AU - Müller, Matthias
AU - Houska, Boris
N1 - Funding Information: MEV, EDL, and BH were supported by the National Natural Science Foundation China (NSFC) , Nr. 61473185 , as well as ShanghaiTech University , Grant-Nr. F-0203-14-012 .
PY - 2020/12
Y1 - 2020/12
N2 - This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept of dissipativity for systems that are affected by external disturbances. The corresponding theoretical developments build upon set based analysis methods and lay a general theoretical foundation for a rigorous stability analysis of economic tube model predictive controllers.
AB - This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept of dissipativity for systems that are affected by external disturbances. The corresponding theoretical developments build upon set based analysis methods and lay a general theoretical foundation for a rigorous stability analysis of economic tube model predictive controllers.
KW - math.OC
KW - math.DS
KW - Robust control
KW - Model predictive control
KW - Dissipativity
UR - http://www.scopus.com/inward/record.url?scp=85089913308&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2020.109179
DO - 10.1016/j.automatica.2020.109179
M3 - Article
VL - 122
JO - Automatica
JF - Automatica
SN - 0005-1098
M1 - 109179
ER -