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arXiv · 1901.02181

Successive Convexification for 6-DoF Powered Descent Guidance with Compound State-Triggered Constraints

Michael Szmuk·Taylor P. Reynolds·Behcet Acikmese·Mehran Mesbahi·John M. Carson III
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Abstract

This paper introduces a continuous formulation for compound state-triggered constraints, which are generalizations of the recently introduced state-triggered constraints. State-triggered constraints are different from ordinary constraints found in optimal control in that they use a state-dependent trigger condition to enable or disable a constraint condition, and can be expressed as continuous functions that are readily handled by successive convexification. Compound state-triggered constraints go a step further, giving designers the ability to compose trigger and constraint conditions using Boolean and and or operations. Simulations of the 6-degree-of-freedom (DoF) powered descent guidance problem obtained using successive convexification are presented to illustrate the utility of state-triggered and compound state-triggered constraints. The examples employ a velocity-triggered angle of attack constraint to alleviate aerodynamic loads, and a collision avoidance constraint to avoid large geological formations. In particular, the velocity-triggered angle of attack constraint demonstrates the ability of state-triggered constraints to introduce new constraint phases to the solution without resorting to combinatorial techniques.

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Michael Szmuk, Taylor P. Reynolds, Behcet Acikmese, Mehran Mesbahi, John M. Carson III. 2019-01-08. Successive Convexification for 6-DoF Powered Descent Guidance with Compound State-Triggered Constraints. https://arxiv.org/abs/1901.02181

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