Work

State dependent disturbances in computation of forward reachable sets and minimal invariant sets

Year: 2025

Type: conference-paper

Abstract: We consider linear systems with additive exogenous signals, whose range is state-dependent and is constrained in a polytope in the state-disturbance space. We observe that these systems are equivalent (i) to a linear inclusion defined as projection of a polytopic set on the state space, and (ii) to piecewise polytopic affine dynamics, which is convex on the support of the disturbance set. We use these descriptions to characterise the reachable sets and consequently characterise the minimal Robust Positively Invariant (mRPI) set. Our results can be used in a variety of applications.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc57313.2025.11312049

Authors: Nikolaos Athanasopoulos, Eleftherios E. Vlahakis, Christopher Townsend, Sorin Olaru

Institutions: Queen's University Belfast, KTH Royal Institute of Technology, Laboratoire des signaux et systèmes, Centre National de la Recherche Scientifique, Université Paris-Saclay, CentraleSupélec

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: HORIZON EUROPE Framework Programme

OpenAlex ID: W4414818887

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