The present invention relates to a hierarchical system for multi-objective shape control of variable stiffness structures. The system operates by initializing a hierarchical hybrid Gur-game controller that is affixed to a variable stiffness structure. The hierarchical hybrid Gur-game controller includes a hierarchy of Gur-games being utilized, at each level of the hierarchy, to control at least two angular rotations and at least one stiffness setting of the variable stiffness structure. The Gur-game controller is utilized to optimize variables, including angular rotations and stiffness settings of the variable stiffness structure to morph into a desired shape. Finally, the variable stiffness structure is morphed into the desired shape according to the optimized angular rotation and stiffness settings.