A general U-model based super twisting design procedure for nonlinear polynomial systems

In this study, a general U-model based design procedure is expanded to super twisting control of nonlinear polynomial systems, which is named as U-super twisting control in short. A discrete time super twisting reference model is proposed with proper convergence precision and convergence time for nonlinear dynamic plants including non-affine systems. Two bench test examples (non-affine plants which could be very challenging to design such control systems using the other approaches) are selected to demonstrate the feasibility and effectiveness with computational experiments, which the case studies could be guidance for readers/users with their ad hoc applications.