This paper formulates a new inverse Stoker problem: to design the control algorithm for performing the desired number of cycle slippings under arbitrary initital conditions. To solve the posed problem two control algorithms suggested. The first algorithm is based on the speed-gradient algorithm, while the second one is a simple relay algorithm. For simulation the problem to perform a desired number of cycle slippings at the begining and then to make rotor oscillate with a constant amplitude is posed. The results of simulation showed the efficiency of proposed algorithms.