{'fraction_non_alphanumeric': 0.0183585313174946, 'fraction_numerical': 0.0, 'mean_word_length': 5.139072847682119, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Closed-form solutions of optimal guidance with terminal impact angle constraint

Optimal guidance laws and their closed-form solutions for controlling the impact angle as well as terminal miss are investigated in this paper. Generalized formulation of optimal guidance laws for constant speed missiles with a higher order system dynamics can be represented by a linear combination of a step and a ramp acceleration response of the missile. In the case of lag-free system, optimal guidance command is linear time varying and, therefore, the entire missile states can be expressed by polynomial functions in terms of time-to-go. We also proposed practical and precise time-to-go calculation methods in consideration of curved missile trajectory, which can be applied for various impact angle controllers. Basic properties including error analyses for the optimal guidance law for lag-free system are shown by numerical examples.