Finite-Time State Observer for a Class of Linear Time-Varying Systems With Unknown Inputs

• 成果类型: Article
• 署名作者: Davila, Jorge; Tranninger, Markus; Fridman, Leonid
• 署名单位: Instituto Politecnico Nacional - Mexico; Graz University of Technology; Universidad Nacional Autonoma de Mexico
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3096863
• 发表日期: 2022
• 页码: 3149-3156
• 关键词: Observers; observability; CONVERGENCE; Complexity theory; Urban areas; switches; Linear systems; Robust observers; finite-time observers; Time-varying systems; unknown inputs; high-order sliding modes

摘要

A finite-time observer for a class of linear time-varying systems with bounded unknown inputs is presented in this note. The design of the observer exploits structural properties of the system and, through a linear operator, allows applying the robust exact differentiator in a block form without requiring additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient time despite the possible instability of the system and the effects of bounded unknown inputs.