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

Authors

M.E. Villanueva, E. De Lazzari, M.A. Müller, B. Houska

Reference

Automatica
Volume 122, 22:109179, 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 of 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. Besides, we discuss practical prodecures for verifying set-dissipativity of constrained linear control systems with convex stage costs.

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Bibtex

@ARTICLE{Villanueva2020,
author = {Villanueva, M.E. and De Lazzari., E. and M\"uller, M.A. and Houska, B.},
title = {A set-theoretic generalization of dissipativity with applications in {T}ube {MPC}},
journal = {Automatica},
year = {2020},
volume = {122},
number = {109179} }