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20202024
most citedRecursive Least Squares with Variable-Direction Forgetting -- Compensating for the loss of persistency

81 citations · 101 across the 13 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.DS2022★ 2 cited

Euler's Equation via Lagrangian Dynamics with Generalized Coordinates

Dennis S. Bernstein, Ankit Goel, Omran Kouba

Euler's equation relates the change in angular momentum of a rigid body to the applied torque. This paper fills a gap in the literature by using Lagrangian dynamics to derive Euler…

eess.SY2022

A Tutorial on Neural Networks and Gradient-free Training

Turibius Rozario, Arjun Trivedi, Ankit Goel

This paper presents a compact, matrix-based representation of neural networks in a self-contained tutorial fashion. Specifically, we develop neural networks as a composition of sev…

eess.SY2022

Experimental Flight Testing of a Fault-Tolerant Adaptive Autopilot for Fixed-Wing Aircraft

Joonghyun Lee, John Spencer, Siyuan Shao +3

This paper presents an adaptive autopilot for fixed-wing aircraft and compares its performance with a fixed-gain autopilot. The adaptive autopilot is constructed by augmenting the…

eess.SY2022

On the Accuracy of the One-step UKF and the Two-step UKF

Ankit Goel, Dennis S. Bernstein

The most accurate version of the unscented Kalman filter (UKF) involves the construction of two ensembles. To reduce computational cost, however, UKF is often implemented without t…

eess.SY2022

Retrospective Cost Parameter Estimation with Application to Space Weather Modeling

Ankit Goel, Dennis S. Bernstein

This chapter reviews standard parameter-estimation techniques and presents a novel gradient-, ensemble-, adjoint-free data-driven parameter estimation technique in the DDDAS framew…

math.OC2022

Circumventing Unstable Zero Dynamics in Input-Output Linearization of Longitudinal Flight Dynamics

Jhon Manuel Portella Delgado, Ankit Goel

In this paper, we consider the problem of input-output linearization of the longitudinal flight dynamics. In longitudinal flight dynamics, inputs are typically thrust and elevator…