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CEAS EuroGNC 2024

A Scenario-based Approach to Robust Control Design

Luis G. Crespo Senior Research Scientist, Dynamic Systems and Controls Branch, NASA Langley Research Center, Hampton, VA, 23681, USA.
Tanner Slagel Research Mathematician, Safety-Critical Avionics System Branch, NASA Langley Research Center, Hampton, VA, 23681, USA.
Sean P. Kenny Senior Research Scientist, Dynamic Systems and Controls Branch, NASA Langley Research Center, Hampton, VA, 23681. USA.
Abstract:
This paper proposes control tuning strategies for an ensemble of scenarios. Each of these scenarios might correspond to a different open-loop plant and/or an operating condition. Overfitting is prevented by ensuring that the closed-loop requirements are satisfied when the values prescribing such scenarios are perturbed. To this end we first model the perturbed scenarios as sample sets of finite size. Relaxed chance-constrained optimization is then used to seek controllers with varying degrees of robustness. For instance, we can deliberately eliminate a given number of scenarios from the dataset in order to obtain a riskier controller with a better performance, or we might seek a conservative controller that satisfies the closed-loop requirements with an acceptably high probability for as many perturbed scenarios as possible. The scenarios for which the requirements are not met, by either physics-based limitations or choice, are optimally chosen while the controller gains are searched for. The design of a feedback control system having a non-collocated sensor-actuator pair with time domain requirements is used for illustration
Keywords: Data-driven control; chance-constrained optimization; uncertainty; robustness; outlier elimination
View PDFCEAS-GNC-2024-057


Luis G. Crespo, Tanner Slagel, Sean P. Kenny: A Scenario-based Approach to Robust Control Design. Proceedings of the 2024 CEAS EuroGNC conference. Bristol, UK. June 2024. CEAS-GNC-2024-057.
BibTeX entry:

@Incollection{CEAS-GNC-2024-057,
    author = {Crespo, Luis G. and Slagel, Tanner and Kenny, Sean P.},
    title = {A Scenario-based Approach to Robust Control Design},
    booktitle = {Proceedings of the 2024 {CEAS EuroGNC} conference},
    address = {Bristol, UK},
    month = jun,
    year = {2024},
    note = {CEAS-GNC-2024-057}
}