Improved data-driven control design based on LMI and its applications in lithium-ion batteries

QY Fan, Y Sun, B Xu - … Transactions on Circuits and Systems II …, 2023‏ - ieeexplore.ieee.org
This brief focuses on the data-driven control for discrete-time systems based on linear matrix
inequality (LMI) and provides its application in Lithium-Ion batteries with disturbances. First …

Data-driven optimal control via linear transfer operators: A convex approach

J Moyalan, H Choi, Y Chen, U Vaidya - Automatica, 2023‏ - Elsevier
This paper is concerned with the data-driven optimal control of nonlinear systems. We
present a convex formulation of the optimal control problem with a discounted cost function …

Spectral analysis of Koopman operator and nonlinear optimal control

U Vaidya - 2022 IEEE 61st Conference on Decision and …, 2022‏ - ieeexplore.ieee.org
In this paper, we present an approach based on the spectral analysis of the Koopman
operator for the approximate solution of the Hamilton Jacobi equation that arises while …

Data-driven stochastic optimal control with safety constraints using linear transfer operators

U Vaidya, D Tellez-Castro - IEEE Transactions on Automatic …, 2023‏ - ieeexplore.ieee.org
In this article, we provide a data-driven framework for optimal control of a continuous-time
control-affine stochastic dynamical system. The proposed framework relies on the linear …

Path-integral formula for computing koopman eigenfunctions

SA Deka, SSKS Narayanan… - 2023 62nd IEEE …, 2023‏ - ieeexplore.ieee.org
The paper is about the computation of the principal spectrum of the Koopman operator (ie,
eigenvalues and eigenfunctions). The principal eigenfunctions of the Koopman operator are …

Convex approach to data-driven off-road navigation via linear transfer operators

J Moyalan, Y Chen, U Vaidya - IEEE Robotics and Automation …, 2023‏ - ieeexplore.ieee.org
We consider the problem of optimal control design for navigation on off-road terrain. We use
a traversability measure to characterize the difficulty of navigation on off-road terrain. The …

Data-driven optimal control of nonlinear dynamics under safety constraints

H Yu, J Moyalan, U Vaidya… - IEEE Control Systems …, 2022‏ - ieeexplore.ieee.org
This letter considers the optimal control problem of nonlinear systems under safety
constraints with unknown dynamics. Departing from the standard optimal control framework …

Data-driven stabilization of discrete-time control-affine nonlinear systems: A Koopman operator approach

S Sinha, SP Nandanoori, J Drgona… - 2022 European Control …, 2022‏ - ieeexplore.ieee.org
In recent years data-driven analysis of dynamical systems has attracted a lot of attention and
transfer operator techniques, namely, Perron-Frobenius and Koopman operators are being …

Data-driven modeling and experimental validation of autonomous vehicles using koopman operator

A Joglekar, S Sutavani, C Samak… - 2023 IEEE/RSJ …, 2023‏ - ieeexplore.ieee.org
This paper presents a data-driven framework to discover underlying dynamics on a scaled
F1TENTH vehicle using the Koopman operator linear predictor. Traditionally, a range of …

Controlled density transport using perron frobenius generators

J Buzhardt, P Tallapragada - 2023 62nd IEEE Conference on …, 2023‏ - ieeexplore.ieee.org
We consider the problem of the transport of a density of states from an initial state
distribution to a desired final state distribution through a dynamical system with actuation. In …