Work

Homogeneous Control Systems on Cones and Nonovershooting Finite-Time Stabilizers

Year: 2025

Type: article

Abstract: . A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear nonovershooting stabilizer to a nonlinear homogeneous one. Robustness of the safety and stability properties is analyzed using the concept of input-to-state stability on invariant sets and input-to-state safety. Theoretical results are illustrated with numerical examples.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/23m1569617

Authors: Andrey Polyakov, Miroslav Krstic

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université de Lille, University of California San Diego

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Sliding-mode set-valued control and observation in finite and infinite dimensions: discretization