ForschungPublikationen
A set-theoretic generalization of dissipativity with applications in tube MPC

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

Kategorien Zeitschriftenartikel
Jahr 2020
Autoren Mario E. Villanueva and Elena De Lazzari and Matthias A. Müller and Boris Houska
Veröffentlicht in Automatica, to appear
Beschreibung

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.

arXiv 2004.03030