Systematic interval observer design for linear systems
<|reference_start|>Systematic interval observer design for linear systems: We first propose systematic and comprehensive interval observer designs for linear time-invariant systems, under standard assumptions involving observability and interval bounds on the initial condition and disturbances. Historically, such designs rely on transformations with certain limitations into a form that is Metzler (for continuous time) or non-negative (for discrete time). We show that they can be effectively replaced with a linear time-invariant transformation that can be easily computed offline. Then, we propose the extension to the time-varying setting, where conventional transformations lack guaranteed outcomes. Academic examples are presented to illustrate our methods.<|reference_end|>
@article{dinh2024systematic,
    title={Systematic interval observer design for linear systems},
    author={Thach Ngoc Dinh and Gia Quoc Bao Tran},
    journal={arXiv preprint arXiv:2405.06445},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.06445},
    primaryClass={eess.SY cs.SY}
}