Search Results for author: Raktim Bhattacharya

Found 8 papers, 0 papers with code

Optimal State Estimation in the Presence of Non-Gaussian Uncertainty via Wasserstein Distance Minimization

no code implementations6 Mar 2024 Himanshu Prabhat, Raktim Bhattacharya

The goal is to determine an optimal map combining prior estimate with measurement likelihood such that posterior estimation error optimally reaches the Dirac delta distribution with minimal effort.

A Convex Optimization Framework for Computing Robustness Margins of Kalman Filters

no code implementations5 Mar 2024 Himanshu Prabhat, Raktim Bhattacharya

This paper proposes a novel convex optimization framework for designing robust Kalman filters that guarantee a user-specified steady-state error while maximizing process and sensor noise.

Quantifying Maximum Actuator Degradation for a Given $H_2/H_{\infty}$ Performance with Full-State Feedback Control

no code implementations2 Mar 2024 Hrishav Das, Eliot Nychka, Raktim Bhattacharya

In this paper, we address the issue of quantifying maximum actuator degradation in linear time-invariant dynamical systems.

Privacy-aware Gaussian Process Regression

no code implementations25 May 2023 Rui Tuo, Raktim Bhattacharya

The key idea of the proposed method is to add synthetic noise to the data until the predictive variance of the Gaussian process model reaches a prespecified privacy level.

regression

Optimal Sensor Precision for Multi-Rate Sensing for Bounded Estimation Error

no code implementations13 Jun 2021 Niladri Das, Raktim Bhattacharya

We address the problem of determining optimal sensor precisions for estimating the states of linear time-varying discrete-time stochastic dynamical systems, with guaranteed bounds on the estimation errors.

Sensor Placement with Optimal Precision for Temperature Estimation of Battery Systems

no code implementations12 May 2021 Vedang M. Deshpande, Raktim Bhattacharya, Kamesh Subbarao

Therefore, efficient, safe, and reliable battery system operation requires an accurate estimation of the temperature field.

Management

Sensor Selection and Optimal Precision in $\mathcal{H}_2/\mathcal{H}_{\infty}$ Estimation Framework: Theory and Algorithms

no code implementations1 Mar 2021 Vedang M. Deshpande, Raktim Bhattacharya

We consider the problem of sensor selection for designing observer and filter for continuous linear time invariant systems such that the sensor precisions are minimized, and the estimation errors are bounded by the prescribed $\mathcal{H}_2/\mathcal{H}_{\infty}$ performance criteria.

Eigen Value Analysis in Lower Bounding Uncertainty of Kalman Filter Estimates

no code implementations12 Mar 2020 Niladri Das, Raktim Bhattacharya

In this paper we are concerned with the error-covariance lower-bounding problem in Kalman filtering: a sensor releases a set of measurements to the data fusion/estimation center, which has a perfect knowledge of the dynamic model, to allow it to estimate the states, while preventing it to estimate the states beyond a given accuracy.

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