Work

Predictor-Feedback Stabilization of Linear Switched Systems with State-Dependent Switching and Input Delay

Year: 2026

Type: preprint

Abstract: We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a given, state-dependent switching rule, an implementable formula for the predictor state can be derived in a way analogous to the case of nonlinear systems with input delay. We establish uniform exponential stability of the corresponding closed-loop system via a novel construction of multiple Lyapunov functionals, relying on a backstepping transformation that we introduce. We validate our design in simulation considering a switching rule motivated by communication networks.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.20027

Authors: Katsanikakis, Andreas, Bekiaris-Liberis, Nikolaos, Bresch-Pietri, Delphine

Institutions: Université Paris Sciences et Lettres, Centre Automatique et Systèmes, Technical University of Crete, École Nationale Supérieure des Mines de Paris

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Award: G6638087972

OpenAlex ID: W7140091975

Cites:

Cited by: 1

Related to: 10