Work

Some Remarks on Robustness of Sample-and-Hold Stabilization

Year: 2024

Type: article

Abstract: This letter studies robustness to system disturbance and measurement noise of some popular general practical stabilization techniques, namely, Dini aiming, optimization-based cntrol and inf-convolution stabilization. Common to all these techniques is the explicit usage of a (general nonsmooth) control Lyapunov function, thus allowing to see them as a kind of generalization to the celebrated Sontag’s formula. It turns out that certain details of the above described robustness properties have not yet received the attention in literature they deserved. We provide new remarks, formalized in mathematical propositions, on robustness of selected popular stabilization techniques along with an extensive statistical case study on a robot parking problem.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2025.3546990

Authors: Patrick Schmidt, Pavel Osinenko, Stefan Streif

Institutions: Chemnitz University of Technology, Skolkovo Institute of Science and Technology

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,495

OpenAlex ID: W4408126028

FWCI:

Cites:

Cited by:

Related to: 10