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

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

Categories Zeitschriftenartikel
Year 2020
Authors Villanueva, M. E.; De Lazzari, E.; Müller, M. A. & Houska, B.
Published In Automatica, 2020, 122, 109179
Description

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.

DOI 10.1016/j.automatica.2020.109179