Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …
designing controllers with rigorous guarantees using semidefinite programming and for …
Koopman-based feedback design with stability guarantees
We present a method to design a state-feedback controller ensuring exponential stability for
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
End-to-end guarantees for indirect data-driven control of bilinear systems with finite stochastic data
In this paper we propose an end-to-end algorithm for indirect data-driven control for bilinear
systems with stability guarantees. We consider the case where the collected iid data is …
systems with stability guarantees. We consider the case where the collected iid data is …
Leveraging KANs For Enhanced Deep Koopman Operator Discovery
G Nehma, M Tiwari - arXiv preprint arXiv:2406.02875, 2024 - arxiv.org
Multi-layer perceptrons (MLP's) have been extensively utilized in discovering Deep
Koopman operators for linearizing nonlinear dynamics. With the emergence of Kolmogorov …
Koopman operators for linearizing nonlinear dynamics. With the emergence of Kolmogorov …
Extended Kalman Filter–Koopman Operator for Tractable Stochastic Optimal Control
MS Ramadan, M Anitescu - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
The theory of dual control was introduced more than seven decades ago. Although it has
provided rich insights to the fields of control, estimation, and system identification, dual …
provided rich insights to the fields of control, estimation, and system identification, dual …
SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems
The Koopman operator serves as the theoretical backbone for machine learning of
dynamical control systems, where the operator is heuristically approximated by extended …
dynamical control systems, where the operator is heuristically approximated by extended …