Fuzzy adaptive finite-time output feedback control of stochastic nonlinear systems

Libin Wang; Huanqing Wang; Peter Xiaoping Liu

doi:10.1016/j.isatra.2021.06.029

Fuzzy adaptive finite-time output feedback control of stochastic nonlinear systems

ISA Trans. 2022 Jun:125:110-118. doi: 10.1016/j.isatra.2021.06.029. Epub 2021 Jun 25.

Authors

Libin Wang¹, Huanqing Wang², Peter Xiaoping Liu³

Affiliations

¹ School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China. Electronic address: 19116022@bjtu.edu.cn.
² College of Mathematics and Physics, Bohai University, Jinzhou 121000, China. Electronic address: ndwhq@163.com.
³ School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China; Department of Systems and Computer Engineering, Carleton University, Ottawa, ON, Canada. Electronic address: xpliu@sce.carleton.ca.

PMID: 34217498
DOI: 10.1016/j.isatra.2021.06.029

Abstract

An adaptive finite-time approach to the feedback control of stochastic nonlinear systems is presented. The fuzzy logic system (FLS) and a state observer are used to estimate the uncertain function and unmeasured state of the controlled system, respectively. A dynamic surface control (DSC) scheme is employed to deal with the "computational explosion" problem, which is inherent in traditional backstepping methods since the repetitive calculation of the derivatives of virtual control signals is avoided. A new output feedback controller is developed to guarantee that all the signals of the controlled system are bounded within a finite time range and the tracking deviation can converge to an arbitrarily small residual set within finite time. Simulations confirm the analytical and theoretical results of the presented algorithm.

Keywords: Dynamic surface control (DSC); Finite-time convergence; Stochastic nonlinear system.