Robust pole assignment for the control of uncertain nonlinear discrete-time systems

This paper concerns a robust pole assignment for the control of uncertain discrete-time nonlinear systems. A composed model of two parts is used to describe the dynamic of the considered system. The first part is linear affected by bounded uncertainties. It is obtained by the nominal system linearization around some operating points. The second part is nonlinear. A robust pole assignment called `pole colouring´ is employed for the system control. It is synthesized basing only on the linear uncertain part of the model. Finally, two simulation examples are presented to illustrate the effectiveness of the proposed design method.