Adaptive variable structure controller design of uncertain nonlinear systems based on state estimation: a new scheme
by Ruiping Xu; Zhen Liu
International Journal of Modelling, Identification and Control (IJMIC), Vol. 39, No. 3, 2021

Abstract: In this work, state estimation problem of uncertain nonlinear systems is studied within a new variable structure control framework. An observer is first presented to estimate the unavailable state variables, via which a novel adaptive controller is developed for ensuring the effective estimation of the internal state. Then, based upon the designed observer, a novel linear sliding surface and a new adaptive variable structure controller are shown for the underlying systems. Further, exponential stability analysis of the system during the sliding mode is carried out by virtue of LMI technique. At last, two demonstrated examples are shown to validate the efficiency and advantage of the given design.

Online publication date: Thu, 23-Jun-2022

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