On Geometric Interpretation of Extended State Observer: a Preliminary Study
Document Type
Article
Publication Date
3-2023
Publication Title
Control Theory and Technology
Abstract
Borrowing the framework of the geometric approach, this paper tries to analyze and explain why it is possible for the extended state observer (ESO) to estimate the state vector and total disturbance accurately. The geometric approach has provided an elegant and rigorous framework to redefine some key concepts in modern control theory, such as controllability and observability. Moreover, those concepts can be extended to deal with systems in the presence of inaccessible disturbances, such as controlled invariants and conditioned invariants. It is shown in this paper that the augmented system of the ESO is unknown-state unknown-input completely reconstructable in finite time interval. A numerical simulation is given to verify the state vector and total disturbance can be estimated accurately by the ESO if the augmented system is unknown-state unknown-input completely reconstructable.
Repository Citation
Chen, Jinfeng and Gao, Zhiqiang, "On Geometric Interpretation of Extended State Observer: a Preliminary Study" (2023). Electrical and Computer Engineering Faculty Publications. 500.
https://engagedscholarship.csuohio.edu/enece_facpub/500
DOI
10.1007/s11768-023-00130-5
Volume
21
