S.D. Codified Laws § 33-9-8
An armed force may be called out to respond to public disaster resulting from flood, conflagration, or tornado, or for the purpose of suppressing any tumult or riot, or for the purpose of dispersing any group of persons that is acting together by force with intent to commit any felony or to offer violence to persons or property, or that is acting with intent by force or violence to resist or oppose the execution of the laws of this state. Upon arrival at the place of such unlawful, riotous, or tumultuous assembly, the armed force shall obey any orders by the Governor for suppressing the riot or tumult or for dispersing and arresting all persons who are committing any such offenses. The armed force shall also obey any such orders from any judge of a court of record, or from the sheriff of the county, and also any further orders for such purposes from any two of the magistrates or other officers mentioned in this section.
SDCL 33-9-8