Work

State constrained patchy feedback stabilization

Year: 2012

Type: preprint

Abstract: We construct a patchy feedback for a general control system on $\R^n$ which realizes practical stabilization to a target set $Σ$, when the dynamics is constrained to a given set of states $S$. The main result is that $S$--constrained asymptotically controllability to $Σ$ implies the existence of a discontinuous practically stabilizing feedback. Such a feedback can be constructed in "patchy" form, a particular class of piecewise smooth controls which ensure the existence of local Carathéodory solutions to any Cauchy problem of the control system and which enjoy good robustness properties with respect to both measurement errors and external disturbances.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1206.5572

Author: Priuli, Fabio S.

Institution: University of Rome Tor Vergata

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, FP7 People: Marie-Curie Actions

Awards: G1056916763, Sensitivity Analysis for Deterministic Controller Design, G8562236578

OpenAlex ID: W4298009871

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