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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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math.OC2024

Retrospective Cost-based Extremum Seeking Control with Vanishing Perturbation for Online Output Minimization

Juan A. Paredes, Jhon Manuel Portella, Dennis S. Bernstein +1

Extremum seeking control (ESC) constitutes a powerful technique for online optimization with theoretical guarantees for convergence to the neighborhood of the optimizer under well-…

math.OC2024

Adaptive Backstepping Control of a Bicopter in Pure Feedback Form with Dynamic Extension

Jhon Manuel Portella Delgado, Mohammad Mirtaba, Ankit Goel

This paper presents a model-based, adaptive, nonlinear controller for the bicopter stabilization and trajectory-tracking problem. The nonlinear controller is designed using the bac…

math.OC2023

Computing Invariant Zeros of a Linear System Using State-Space Realization

Jhon Manuel Portella Delgado, Ankit Goel

It is well known that zeros and poles of a single-input, single-output system in the transfer function form are the roots of the transfer function's numerator and the denominator p…

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…

math.OC2020★ 81 cited

Recursive Least Squares with Variable-Direction Forgetting -- Compensating for the loss of persistency

Ankit Goel, Adam L. Bruce, Dennis S. Bernstein

Learning depends on the ability to acquire and assimilate new information. This ability depends---somewhat counterintuitively---on the ability to forget. In particular, effective f…

math.OC2020

Convergence and Consistency of Recursive Least Squares with Variable-Rate Forgetting

Adam L. Bruce, Ankit Goel, Dennis S. Bernstein

A recursive least squares algorithm with variable rate forgetting (VRF) is derived by minimizing a quadratic cost function.Under persistent excitation and boundedness of the forget…