The approximate solution for chattering arc of the first kind chattering control has been studied. Both symmetrical and asymmetrical and asymmetrical cases are considered. A practical example analyzed in this paper is the maximum drag reentry flight of a winged space vehicle in the vertical plane. The control variable is the normalized lift coefficient (NLC), the ratio of the lift coefficient and the lift coefficient at the maximum lift-to-drag ratio. The chattering flight happens when the NLc switches rapidly between its maximum and minimum values.
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