A set-theoretic generalization of dissipativity with applications in Tube MPC

Mario Eduardo Villanueva; Elena De Lazzari; Matthias Müller; Boris Houska

doi:10.1016/j.automatica.2020.109179

A set-theoretic generalization of dissipativity with applications in Tube MPC

Mario Eduardo Villanueva^*
, Elena De Lazzari
, Matthias Müller
, Boris Houska

^*Corresponding author for this work

Institute of Automatic Control

ShanghaiTech University

Research output: Contribution to journal › Article › Research

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.

Original language	English
Article number	109179
Journal	Automatica
Volume	122
E-pub ahead of print	28 Aug 2020
DOIs	https://doi.org/10.1016/j.automatica.2020.109179 https://doi.org/10.15488/12612
Publication status	Published - Dec 2020

Keywords

math.OC
math.DS
Robust control
Model predictive control
Dissipativity

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering

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10.1016/j.automatica.2020.109179Licence: CC BY 4.0
10.15488/12612Licence: CC BY 4.0

https://arxiv.org/abs/2004.03030Licence: Arxiv nonexclusive-distrib 1.0

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title = "A set-theoretic generalization of dissipativity with applications in Tube MPC",

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",

author = "Villanueva, \{Mario Eduardo\} and Lazzari, \{Elena De\} and Matthias M{\"u}ller and Boris Houska",

note = "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 . ",

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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 - https://www.scopus.com/pages/publications/85089913308

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DO - 10.1016/j.automatica.2020.109179

M3 - Article

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VL - 122

JO - Automatica

JF - Automatica

M1 - 109179

ER -

A set-theoretic generalization of dissipativity with applications in Tube MPC

Abstract

Keywords

ASJC Scopus subject areas

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