In this paper, we report theoretical investigation of controlling the optical bistability (OB) and optical multistability (OM) in a GaAs quantum well inside a unidirectional ring cavity. In this scheme quantum interference is raised by a control pulse that couples to a resonance of a biexcitons. It is shown that many-particle interactions which are natural in semiconductors can be used to creation of quantum coherence. In this case optical bistability and multistability can be controlled by biexciton energy renormalization which resulted from many-particle coulomb interactions.