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

2020/04/06 by Villanueva, Mario Eduardo, De Lazzari, Elena, Müller, Matthias +1 · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2004.03030

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.

Cited by

• Varying Horizon Learning Economic MPC With Unknown Costs of Disturbed Nonlinear Systems
• Efficient Configuration-Constrained Tube MPC via Variables Restriction and Template Selection

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