A Revisit of Marino-Tomei's Result on Output Feedback Control of a Class of Non-Minimum Phase Nonlinear Systems

In this note, global stabilization by output feedback is investigated for a class of non-minimum-phase nonlinear systems previously considered by Marino and Tomei (2005). It is shown that it is possible to construct, via a new design method that involves no filter transformation, a globally stabilizing dynamic output feedback controller of order n, instead of n + 2(ρ− 1), for the non-minimum phase nonlinear system in output feedback form Marino and Tomei (2005), under a slightly general condition (i.e., Assumption 2.2) together with the assumption that the nonlinear system is non-minimum-phase with respect to the original output, but minimum-phase with respect to a virtual linear output. Two examples are given to illustrate the simplicity of the new design approach and its effectiveness.