Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach

• 成果类型: Article
• 署名作者: Huff, Daniel Denardi; Fiacchini, Mirko; da Silva, Joao Manoel Gomes
• 署名单位: Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Universidade Federal do Rio Grande do Sul; Universidade Federal do Rio Grande do Sul
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3064988
• 发表日期: 2022
• 页码: 1423-1429
• 关键词: Asymptotic stability; Two dimensional displays; Sampled data systems; Stability criteria; Power system stability; nonlinear dynamical systems; Time-varying systems; input saturation; Lyapunov analysis; sampled-data systems

摘要

This article proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, such that the evolution of the system at the sampling instants can be modeled by a difference inclusion defined by two set-valued maps. We show that to ensure the asymptotic stability it is sufficient to verify that a Lyapunov function decreases by a certain amount only at a grid of possible values for the sampling interval, as long as the increase of the function in continuous-time is conveniently bounded. Simulation results compare our approach with other ones.