5 papers
Relative Entropy-Bounded Ambiguous Chance Constraints for Robust Planning in Nonlinear Systems
Trevor N. Wolf, Jay W. McMahon
We consider defining risk probability in stochastic control problems under distribution ambiguity. Current approaches for chance-constrained control typically assume that the true…
Approximate Relative Entropy Constraints for Nonlinear Covariance Steering Under Distribution Ambiguity
Trevor N. Wolf, Jay W. McMahon
Covariance steering provides an efficient framework for designing linear stochastic feedback policies, but its extension to nonlinear systems relies on a Gaussian surrogate obtaine…
Improved Directional State Transition Tensors for Accurate Aerocapture Performance Analysis
Grace E. Calkins, Jay W. McMahon, David C. Woffinden
Aerocapture is particularly challenging for semi-analytical propagation because the dynamics are dominated by nonconservative forces whose magnitudes vary significantly throughout…
Risk-Aware Aerocapture Guidance Through a Probabilistic Indicator Function
Grace E. Calkins, Jay W. McMahon, Alireza Doostan +1
Aerocapture is sensitive to trajectory errors, particularly for low-cost missions with imprecise navigation. For such missions, considering the probability of each failure mode whe…
Optimal Rank-1 Directional State Transition Tensors
Grace E. Calkins, Jay W. McMahon, Jackson Kulik
An optimal rank-1 approximation of state transition tensors was developed as an efficient alternative to state transition tensors for nonlinear uncertainty quantification. While pr…