@inproceedings{nokey,
title = {Design of Q-filter-based Disturbance Observer for Differential Algebraic Equations and a Robust Stability Condition: Zero Relative Degree Case},
author = {Hamin Chang and Stephan Trenn},
url = {https://ieeexplore.ieee.org/abstract/document/10383698},
doi = {10.1109/CDC49753.2023.10383698},
isbn = {979-8-3503-0124-3},
year = {2023},
date = {2023-12-15},
urldate = {2023-12-15},
booktitle = {2023 62nd IEEE Conference on Decision and Control (CDC)},
pages = {8489-8494},
publisher = {IEEE Control Systems Society},
address = {Marina Bay Sands, Singapore},
abstract = {While the disturbance observer (DOB)-based controller is widely utilized in various practical applications, there has been a lack of extension of its use to differential algebraic equations (DAEs). In this paper, we introduce several lemmas that establish necessary and/or sufficient conditions for specifying the relative degree of DAEs. Using these lemmas, we also figure out that there is a class of DAEs which can be viewed as linear systems with zero relative degree. For the class of DAEs, we propose a design of Q-filter-based DOB as well as a robust stability condition for systems controlled by the DOB through time domain analysis using singular perturbation theory. The proposed stability condition is verified by an illustrative example.},
keywords = {Differential algebraic equation, Disturbance observer, Disturbance rejection},
pubstate = {published},
tppubtype = {inproceedings}
}