MAKO: Meta-Adaptive Koopman Operators for Learning-based Model Predictive Control of Parametrically Uncertain Nonlinear Systems
This work addresses control challenges for nonlinear systems with parametric uncertainties, offering a meta-learning solution that adapts to unseen settings, though it appears incremental as it builds on existing Koopman and meta-learning methods.
The authors tackled the problem of controlling nonlinear systems with unknown parametric uncertainties by proposing MAKO, a meta-learning-based Koopman modeling and predictive control approach, which demonstrated superior performance in modeling accuracy and control efficacy compared to baselines in simulations.
In this work, we propose a meta-learning-based Koopman modeling and predictive control approach for nonlinear systems with parametric uncertainties. An adaptive deep meta-learning-based modeling approach, called Meta Adaptive Koopman Operator (MAKO), is proposed. Without knowledge of the parametric uncertainty, the proposed MAKO approach can learn a meta-model from a multi-modal dataset and efficiently adapt to new systems with previously unseen parameter settings by using online data. Based on the learned meta Koopman model, a predictive control scheme is developed, and the stability of the closed-loop system is ensured even in the presence of previously unseen parameter settings. Through extensive simulations, our proposed approach demonstrates superior performance in both modeling accuracy and control efficacy as compared to competitive baselines.