Stability analysis of discrete time systems subjected to input quadratic nonlinearity with saturation

This work presents the stability analysis for discrete time nonlinear systems included quadratic and input saturation nonlinearities. The quadratic non-linearity arises in the control system when the states of the systems are multiplied with each other. The non-linear dynamic inversion (NDI) controller is used along anti windup compensator to mitigate the effect of quadratic and input saturation nonlinearities. The prospective technique is validated for numerical example also.