Generalization of the Super-Twisting algorithm (STA) for r relative degree system with respect to output, ensuring finite time convergence to the set σ, σ,..., π(r) where σ represents the output via absolutely continuous control signal using information of σ, σ,..., π(r)-1 are discussed. The convergence conditions for the 3-STA algorithm are proposed. The formula for algorithm of arbitrary order is suggested. The simulations results are confirmed the efficiency of the proposed algorithm. © 2014 IEEE.