Robert Couth Mathis was a United States Air Force four-star general who served as Vice Chief of Staff, U.S. Air Force (VCSAF) from 1980 to 1982.

The vice chief of staff of the Air Force (VCSAF) is the second-highest-ranking military officer in the United States Air Force. If the chief of staff of the Air Force (CSAF) is absent or is unable to perform his duties, then the VCSAF assumes the duties and responsibilities of the CSAF. The VCSAF may also perform other duties that the secretary of defense (SECDEF), the secretary of the Air Force (SECAF) or the CSAF assigns to him. The VCSAF is appointed by the president of the United States and must be confirmed via majority vote by the Senate. By statute, the VCSAF is appointed as a four-star general.