The numerical predictor-corrector guidance method with a linear bank angle parameterization has been widely applied to various atmospheric entry guidance problems. However, it has been found that the linear bank angle approach has limitations in satisfying the final state requirement of a specific type of atmospheric entry mission. In response, this paper proposes a novel bank angle parameterization based on a logistic function, which improves the energy preservation capability and increases the potential final altitude at the end of the entry phase. The paper also suggests a guideline to determine a guidance law activation point for better entry performance. Numerical simulations demonstrate that the proposed guidance scheme outperforms the linear bank profile approach and is suitable for future human Mars landing missions.
more »
« less
This content will become publicly available on January 23, 2026
Hypersonic Entry Guidance via Numerical Predictor-Corrector Guidance
Entry guidance has played a vital role in planetary landing missions from the Apollo era to now. Modern techniques that directly utilize highly nonlinear entry dynamics, unlike the Apollo reentry guidance, are gaining attention. This study demonstrates that numerical predictor-corrector guidance can generate a trajectory that closely resembles the historic Apollo final reentry path. Secondly, it compares a conventional bank reversal algorithm with a prediction-based lateral guidance algorithm. Finally, the study proposes a predictive no-fly zone avoidance guidance algorithm that can effectively address geographic constraints for hypersonic gliding vehicles.
more »
« less
- Award ID(s):
- 2327379
- PAR ID:
- 10567705
- Publisher / Repository:
- AIAA/AAS
- Date Published:
- Subject(s) / Keyword(s):
- Reentry Guidance Predictive control
- Format(s):
- Medium: X
- Location:
- Kaua'i, Hawaii
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
A robust optimal guidance strategy is proposed. The guidance strategy is designed to reduce the possibility of violations in inequality path constraints in the presence of modeling errors and perturbations. The guidance strategy solves a constrained nonlinear optimal control problem at the start of every guidance cycle. In order to reduce the possibility of path constraint violations, the objective functional for the optimal control problem is modified at the start of a guidance cycle if it is found that the solution lies within a user-specified threshold of a path constraint limit. The modified objective functional is designed such that it maximizes the margin in the solution relative to the path constraint limit that could potentially be violated in the future. The method is validated on a path-constrained Mars entry problem where the reference model and the perturbed model differ in their atmospheric density. It is found for the example studied that the approach significantly improves the path constraint margin and maintains feasibility relative to a guidance approach that maintains the original objective functional for each guidance update.more » « less
-
The numerical predictor-corrector guidance with a bank angle parameterization has been employed in various entry examples where only a final range constraint is present. However, a future human Mars landing mission requires an accurate final location and a precise final altitude and velocity at the end of the entry trajectory. This paper proposes to use a quadratic bank parameterization to generate an entry trajectory that satisfies the multi-constraints. A solution space analysis confirms the numerical feasibility of the given entry problem. Monte Carlo simulation results demonstrate the potential applicability of the proposed method for future Human Mars landing missions.more » « less
-
A Monte Carlo analysis of a contingency optimal guidance strategy is conducted. The guidance strategy is applied to a Mars Entry problem in which it is assumed that the surface level atmospheric density is a random variable. First, a nominal guidance strategy is employed such that the optimal control problem is re-solved at constant guidance cycles. When the trajectory lies within a particular distance from a path constraint boundary, the nominal guidance strategy is replaced with a contingency guidance strategy, where the contingency guidance strategy attempts to prevent a violation in the the relevant path constraint. The contingency guidance strategy utilizes the reference optimal control problem formulation, but modifies the objective functional to maximize the margin between the path constraint limit and path constraint function value. The ability of the contingency guidance strat- egy to prevent violations in the path constraints is assessed via a Monte Carlo simulation.more » « less
-
A Monte Carlo analysis of a contingency optimal guidance strategy is conducted. The guidance strategy is applied to a Mars Entry problem in which it is assumed that the surface level atmospheric density is a random variable. First, a nominal guidance strategy is employed such that the optimal control problem is re-solved at constant guidance cycles. When the trajectory lies within a particular distance from a path constraint boundary, the nominal guidance strategy is replaced with a contingency guidance strategy, where the contingency guidance strategy attempts to prevent a violation in the the relevant path constraint. The contingency guidance strategy utilizes the reference optimal control problem formulation, but modifies the objective functional to maximize the margin between the path constraint limit and path constraint function value. The ability of the contingency guidance strategy to prevent violations in the path constraints is assessed via a Monte Carlo simulation.more » « less
An official website of the United States government
