Higher order super-twisting algorithm
Shyam Kamal, Asif Chalanga, Jaime A. Moreno, Leonid M. Fridman, Bijnan Bandyopadhyay · 2014
Generalization of the Super-Twisting algorithm (STA) for r relative degree system with respect to output, ensuring finite time convergence to the set σ, σ̇,..., π(r)where σ represents the output via absolutely continuous control signal using information of σ, σ̇,..., π(r)-1are 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.