Publications

A Hamilton-Jacobi Approach for Nonlinear Model Predictive Control in Applications with Navigational Uncertainty

This paper introduces a novel methodology that leverages the Hamilton-Jacobi solution to enhance non-linear model predictive control …
Amit Jain, R. Eapen, P. Singla
A Hamilton-Jacobi Approach for Nonlinear Model Predictive Control in Applications with Navigational Uncertainty

Sparsity Enhanced Aerodynamic Parameter Estimation for Nonlinear Aircraft Model

This paper introduces an innovative approach to aerodynamic parameter estimation for nonlinear aircraft models, specifically addressing …
Amit Jain, P. Singla, J. Valasek
Sparsity Enhanced Aerodynamic Parameter Estimation for Nonlinear Aircraft Model

Sparse Approximate Hamilton-Jacobi Solutions for Optimal Feedback Control with Terminal Constraints

A semi-analytic method is proposed to solve a class of optimal control problems while exploiting its underlying Hamiltonian structure. …
Amit Jain, R. Eapen, P. Singla
Sparse Approximate Hamilton-Jacobi Solutions for Optimal Feedback Control with Terminal Constraints

Stochastic Reachability Analysis using Sparse-Collocation Method

A computationally efficient approach is presented to compute the reachability set for a nonlinear system. A reachability set is defined …
Amit Jain, P. Singla
Stochastic Reachability Analysis using Sparse-Collocation Method

Leveraging Hamiltonian Structure for Accurate Uncertainty Propagation

In this work, we leverage the Hamiltonian kind structure for accurate uncertainty propagation through a nonlinear dynamical system. The …
Amit Jain, P. Singla, R. Eapen
Leveraging Hamiltonian Structure for Accurate Uncertainty Propagation

A Computationally Efficient Approach for Stochastic Reachability Set Analysis

The reachability set is defined as the collection of all states which can be traversed from arbitrary initial conditions due to the …
Amit Jain, D. Gueho, P. Singla
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A Computationally Efficient Approach for Stochastic Reachability Set Analysis

Stochastic Reachability Analysis for the Hypersonic Re-entry Problem

In this paper, a computationally efficient approach is presented to enable onboard computation of reachability sets for the hypersonic …
Amit Jain, D. Gueho, P. Singla, M. Akela
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Stochastic Reachability Analysis for the Hypersonic Re-entry Problem