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arXiv · 2004.03030

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

Mario Eduardo Villanueva·Elena De Lazzari·Matthias Müller·Boris Houska
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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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Mario Eduardo Villanueva, Elena De Lazzari, Matthias Müller, Boris Houska. 2020-04-06. A set-theoretic generalization of dissipativity with applications in Tube MPC. https://arxiv.org/abs/2004.03030

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