Global stabilization via nested saturation function for high-order feedforward nonlinear systems with unknown time-varying delays

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.

Time‐varying input delay compensation for nonlinear systems with additive disturbance: An output feedback approach

“…The existence of time delay may result in unexpected degradation in control performance and even instability. 1 Hence, how to effectively attenuate the effect of time delay has always been the research hotspot during the latest several decades, with numerous control schemes proposed, such as previous studies [2][3][4][5][6][7][8][9][10][11][12] for input delay and other studies [13][14][15][16][17][18] for state delay. Especially in Sun et al 17 and Sun and Liu, 18 stabilization of high-order uncertain nonlinear systems with state delays were investigated by using adaptive approach.…”

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

“…Then, is it possible to achieve the stabilization of nonlinear stochastic systems by the proposed strategy of this paper? (III) References [39][40][41][42][43][44][45] advanced the solution to the stabilization problem of time-delay systems. However, it is unclear whether this method could be used to address the stabilization of timedelay nonlinear systems.…”

Global stabilization for a class of stochastic nonlinear systems with SISS‐like conditions and time delay

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