Admissibility analysis and passive output feedback control for one-sided Lipschitz nonlinear singular Markovian jump systems with uncertainties
作者：
Highlights：
• The admissibility analysis and robustly passive asynchronous static output feedback control for one sided Lipschitz nonlinear singular Markovian jump systems with uncertainties is addressed for the first time.
• Sufficient conditions are derived to guarantee that one sided Lipschitz nonlinear singular Markovian jump systems are regular, impulse free, stochastically stable and have a unique solution with passive performance by using implicit function theorem.
• The a synchronous SOF controller, which contains two special cases of mode independence and mode dependence, is designed for the considered system via Linear matrix inequalities.
摘要
•The admissibility analysis and robustly passive asynchronous static output feedback control for one sided Lipschitz nonlinear singular Markovian jump systems with uncertainties is addressed for the first time.•Sufficient conditions are derived to guarantee that one sided Lipschitz nonlinear singular Markovian jump systems are regular, impulse free, stochastically stable and have a unique solution with passive performance by using implicit function theorem.•The a synchronous SOF controller, which contains two special cases of mode independence and mode dependence, is designed for the considered system via Linear matrix inequalities.
论文关键词：Nonlinear singular system,Descriptor systems,Stochastic admissibility,Passive output feedback,One-sided Lipschitz,Markkovian jump system
论文评审过程：Received 17 November 2020, Revised 19 April 2021, Accepted 23 May 2021, Available online 5 June 2021, Version of Record 5 June 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126405
