Iterative Proportional-Integral Interval Estimation of Linear Discrete-Time Systems

An iterative proportional-integral interval estimation strategy for linear discrete-time systems is investigated in this article. A sequence iterative proportional-integral observer is built on system output and unknown disturbance iterative estimation. With the help of a structure separation techni...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 68; no. 7; pp. 4249 - 4256
Main Authors Shen, Mouquan, Zhang, Tu, Park, Ju H., Wang, Qing-Guo, Li, Li-Wei
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Discrete time systems
Electrical engineering
Error analysis
Estimation
Intervals
Iterative algorithms
Iterative methods
Linear matrix inequalities
Linear systems
Mathematical analysis
Observers
Proportional integral
robust control
state estimation
Symbols
Wrapping
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Summary:An iterative proportional-integral interval estimation strategy for linear discrete-time systems is investigated in this article. A sequence iterative proportional-integral observer is built on system output and unknown disturbance iterative estimation. With the help of a structure separation technique, a sufficient condition in terms of linear matrix inequality is proposed to make the observer error system be asymptotically stable. The boundary reachability of the observer error system is analyzed via zonotope. The zonotope-based iterative algorithms, with and without the output integral, are built to generate estimated state intervals. Compared with the existing result, the proposed algorithms render tighter estimation intervals illustrated by a simulation study.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2022.3203226