4.7 Article

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

期刊

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 67, 期 6, 页码 3149-3156

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3096863

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

资金

  1. SEP-CONACYT-ANUIES-ECOS Francia [315597/M20M04]
  2. Secretaria de Investigacion y Posgrado del Instituto Politecnico Nacional [20200733, 20210302]
  3. Graz University of Technology LEAD project Dependable Internet of Things in Adverse Environments
  4. CONACyT (Consejo Nacional de Ciencia y Tecnologia) [282013]
  5. PAPIIT-UNAM (Programa de Apoyo a Proyectos de Investigacion e Innovacion Tecnologica) [IN 115419]

向作者/读者索取更多资源

This note presents a finite-time observer for a class of linear time-varying systems with bounded unknown inputs. The observer design utilizes the structural properties of the system and applies the robust exact differentiator in a block form through a linear operator, eliminating the need for additional stabilizing terms. The proposed observer provides an exact estimate of the states after a finite transient time despite the potential instability of the system and the effects of bounded unknown inputs.
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.

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