The present invention is directed to systems and methods for establishing and maintaining constraints on automated experimentation systems and the permissible ranges for experimentation. Methods and systems of the invention evaluate the available controls, generate a multi-dimensional space representing the combinations of controls, and analyze operational data to determine which points in the multidimensional space are permissible states for the controlled system. Optionally, some embodiments feature a user interface for manipulating or altering the constraints. The constrained multidimensional space is used in automated experimentation through selection of points in the multidimensional space for use in experimental trails.