Title: Adaptive variable structure controller design of uncertain nonlinear systems based on state estimation: a new scheme

Authors: Ruiping Xu; Zhen Liu

Addresses: School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, China ' School of Automation, Qingdao University, Qingdao, 266071, China

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.

Keywords: state estimation; exponential stability; adaptive variable structure control.

DOI: 10.1504/IJMIC.2021.123490

International Journal of Modelling, Identification and Control, 2021 Vol.39 No.3, pp.185 - 191

Received: 21 Mar 2021
Accepted: 22 Jun 2021
Published online: 23 Jun 2022 *

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