Regulation of lower triangular and non‐triangular nonlinear systems with uncertain high‐order nonlinearities via dynamic gain control

In this paper, we consider a global regulation problem of a class of nonlinear systems that have uncertain high‐order nonlinear terms. In particular, we introduce new high‐order lower triangular and non‐triangular conditions and propose a controller with dynamic gains to regulate the system with uncertain high‐order nonlinearities. In designing our controller, the information of the growth rate is not required, and the forms of the high‐order nonlinearities are more relaxed. We verify that the proposed method is applicable to the system which cannot be regulated by the existing methods. Examples and simulation results are given for clear illustration. Copyright © 2016 John Wiley & Sons, Ltd.