Abstract
Summary We consider the global stabilization problem for a class of high-order feedforward time-delay nonlinear systems. The nested saturation function method is inherently improved to develop a continuous controller, without the requirements on the memory of the past input and the prior information of the time-varying delays. The proposed controller is less conservative in terms of the level of nonlinearities whose upper bounds include high-order, low-order, and linear terms. The design procedures are provided based on the sign function technique, the homogeneous domination idea, and the search of Lyapunov function. Finally, a simulation example is used to demonstrate the application of the obtained theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.
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