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Control of a chain of integrators subject to actuator saturation and disturbances
Authors:Xu Wang  Ali Saberi  Anton A. Stoorvogel  Håvard Fjær Grip
Affiliation:1. School of Electrical Engineering and Computer Science, Washington State University, , Pullman, WA 99164‐4236 USA;2. Department of Electrical Engineering, Mathematics, and Computing Science, University of Twente, , AE Enschede, The Netherlands
Abstract:In this paper, we study control of a chain of integrators under actuator saturation and non‐additive disturbances. We shall show that boundedness of the states can be ensured if the disturbances are matched and integral‐bounded, misaligned and magnitude‐bounded, or a combination of the two, using either a static or a dynamic low‐gain state feedback. This result is an extension of our earlier work on double integrator. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:chain of integrators  non‐additive disturbances  actuator saturation  low‐gain feedback
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