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

2025/03/30 by Jain, Amit, Eapen, Roshan T., Singla, Puneet · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2503.23603

Abstract

This paper introduces a novel methodology that leverages the Hamilton-Jacobi solution to enhance non-linear model predictive control (MPC) in scenarios affected by navigational uncertainty. Using Hamilton-Jacobi-Theoretic approach, a methodology to improve trajectory tracking accuracy among uncertainties and non-linearities is formulated. This paper seeks to overcome the challenge of real-time computation of optimal control solutions for Model Predictive Control applications by leveraging the Hamilton-Jacobi solution in the vicinity of a nominal trajectory. The efficacy of the proposed methodology is validated within a chaotic system of the planar circular restricted three-body problem.

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