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The inventive control system, as typically embodied, includes sensing mechanisms, a computational processing unit, and an algorithm for processing inputs and generating outputs to control a rotating pedestal crane equipped with a Rider Block Tagline System (RBTS). Typical inventive embodiments uniquely feature a processing algorithm that distributes various control modes that operate not only through the crane's hoisting, luffing, and slewing mechanisms but also through the crane's RBTS; the inventive algorithm thereby effectuates motion compensation and pendulation damping with respect to the crane. This algorithmic allocation of control represents a more efficient crane anti-pendulation methodology than conventional methodologies; in particular, the inventive methodology exerts significantly greater control of the payload while exacting significantly less burden upon the hoisting, luffing, and slewing mechanisms of the crane.