Stability analysis of the high-order extended state observers for a class of nonlinear control systems

Gao, Ke and Song, Jia and Yang, Erfu (2019) Stability analysis of the high-order extended state observers for a class of nonlinear control systems. Transactions of the Institute of Measurement and Control, 41 (15). pp. 4370-4379. ISSN 0142-3312

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Abstract

The nonlinear Extended State Observer (ESO) is a novel observer for a class of nonlinear control system. However, the non-smooth structure of the nonlinear ESO makes it difficult to measure the stability. In this paper, the stability problem of the nonlinear ESO is considered. The Describing Function (DF) method is adopted to analyze the stability of high-order nonlinear ESOs. The main result of the paper shows the existence of the self-oscillation and a sufficient stability condition for high-order nonlinear ESOs. Based on the analysis results, we give a simple and fast parameter tuning method for the nonlinear ESO and the active disturbance rejection control (ADRC). Realistic application simulations show the effectiveness of the proposed parameter tuning method.

ORCID iDs

Yang, Erfu ORCID: https://orcid.org/0000-0003-1813-5950

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  Item type:	Article
  ID code:	68591
  Dates:	Date Event 1 November 2019 Published 3 July 2019 Published Online 19 May 2019 Accepted
  Keywords:	extended state observer (ESO), descriptive function (DF) method, active disturbance rejection control (ADRC), higher-order systems, Engineering design, Mechanical Engineering, Industrial and Manufacturing Engineering, Control and Systems Engineering, Electrical and Electronic Engineering, Aerospace Engineering
  Subjects:	Technology > Engineering (General). Civil engineering (General) > Engineering design
  Department:	Faculty of Engineering > Design, Manufacture and Engineering Management
  Depositing user:	Pure Administrator
  Date deposited:	25 Jun 2019 15:11
  Last modified:	19 Apr 2021 00:45
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/68591