Partial stabilization of nonlinear systems along a given trajectory

Abstract

In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a family of sets. Sufficient conditions for the asymptotic stability of a one-parameter family of sets using time-dependent control in the form of trigonometric polynomials are derived. The obtained results are applied to a model mechanical system.

arXiv commentThis is a preprint version of the paper submitted to the 2024 European Control Conference (ECC)

References in corpus (8)

• Exponential Stabilization of Nonholonomic Systems by means of Oscillating Controls
• Obstacle Avoidance Problem for Second Degree Nonholonomic Systems
• A family of extremum seeking laws for a unicycle model with a moving target: theoretical and experimental studies
• Motion planning and stabilization of nonholonomic systems using gradient flow approximations
• Partial Stability Concept in Extremum Seeking Problems
• Partial stabilization of stochastic systems with application to rotating rigid bodies
• Stabilization of non-admissible curves for a class of nonholonomic systems
• Partial stabilization of nonholonomic systems with application to multi-agent coordination