Interval Observation and Control for Continuous-Time Persidskii Systems

• 成果类型: Article
• 署名作者: Efimov, Denis; Polyakov, Andrey; Ping, Xubin
• 署名单位: Inria; Universite de Lille; Centre National de la Recherche Scientifique (CNRS); Xidian University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3387008
• 发表日期: 2024
• 页码: 7572-7583
• 关键词: Observers; estimation; vectors; uncertainty; stability analysis; Analytical models; Symmetric matrices; interval observers; Linear matrix inequalities (LMIs); Nonlinear systems; Persidskii systems; Robust control

摘要

The problems of interval estimation and stabilization are studied for a class of generalized Persidskii systems. For this class of models with nonlinearities satisfying the incremental passivity property, the nonnegativity conditions are proposed and a nonlinear interval observer is synthesized. A nonlinear feedback is designed that uses the interval estimates. The conditions of stability of estimation and regulation errors are formulated using linear matrix inequalities. The efficiency of the proposed interval observer and controller is demonstrated for a recurrent neural network and a mechanical system with cubic nonlinearity.