Reset control systems: The zero-crossing resetting law. (November 2022)

• Record Type: Journal Article
• Authors: Baños, Alfonso; Barreiro, Antonio
• Is Part Of: Nonlinear analysis. Volume 46(2022)
• Publication Date: 2022-11
• Subjects: Hybrid dynamical systems -- Hybrid control systems -- Reset control systems -- Robustness to measurement noise -- Robustness -- Stability; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101259
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The well-posedness and stability issues of the resulting hybrid dynamical system are investigated, with a strong focus on how non-deterministic behavior is implemented in control practice. Several stability conditions have been developed by using the eigenstructure of matrices related to the periods of the reset interval sequences and by using Lyapunov function-based conditions.