A nonlinear order reduction modeling procedure for polynomial discrete-time systems

In this work, we propose an efficient procedure for model order reduction of discrete time nonlinear control systems. Based on the use of the notations and properties of the tensor product, the nun-redundant state formulation and the polynomial description of the studied systems, the derived reduced model is also characterized by a polynomial discrete time state equations truncated at the third order. An important feature of this approach is that the resulting reduced order model preserve the form of the original high order systems and can be used for further analysis and design with less computational cost. An illustrative example is considered to investigate the accuracy and efficiency of the proposed approach.