Disturbance observer design for nonlinear systems represented by input-output models

Ding, S., Chen, W.-H., Mei, K. and Murray-Smith, D. (2020) Disturbance observer design for nonlinear systems represented by input-output models. IEEE Transactions on Industrial Electronics, 67(2), pp. 1222-1232. (doi: 10.1109/TIE.2019.2898585)

Abstract

A new approach to the design of nonlinear disturbance observers for a class of nonlinear systems described by inputoutput differential equations is presented in this paper. In contrast with established forms of nonlinear disturbance observers, the most important feature of this new type of disturbance observer is that only measurement of the output variable is required, rather than the state variables. An inverse simulation model is first constructed based on knowledge of the structure and parameters of a conventional model of the system. The disturbance can then be estimated by comparing the output of the inverse model and the input of the original nonlinear system. Mathematical analysis demonstrates the convergence of this new form of nonlinear disturbance observer. The approach has been applied to disturbance estimation for a linear system and a new form of linear disturbance observer has been developed. The differences between the proposed linear disturbance observer and the conventional form of frequency-domain disturbance observer are discussed through a numerical example. Finally, the nonlinear disturbance observer design method is illustrated through an application involving a simulation of a jacketed continuous stirred tank reactor system.

• Item Type: Articles
• Additional Information: This work is supported by the National Science Foundation of China under Grants 61573170 and 31571571, the Jiangsu Natural Science Foundation for Distinguished Young Scholars under Grant BK20180045, the Priority Academic Program Development of Jiangsu Higher Education Institutions and the Six Talent Peaks Project in Jiangsu Province under Grant XNYQC-006.
• Keywords: Mathematical model, inverse problems, nonlinear dynamical systems, design methodology, disturbance observer, nonlinear systems, inverse simulation model, continuous stirred-tank reactor system.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Murray-Smith, Professor David
• Authors: Ding, S., Chen, W.-H., Mei, K., and Murray-Smith, D.
• Subjects: T Technology > TJ Mechanical engineering and machinery; T Technology > TK Electrical engineering. Electronics Nuclear engineering
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: IEEE Transactions on Industrial Electronics
• Publisher: IEEE
• ISSN: 0278-0046
• ISSN (Online): 1557-9948
• Published Online: 15 February 2019
• Copyright Holders: Copyright © 2019 IEEE
• First Published: First published in IEEE Transactions on Industrial Electronics 67(2): 1222-1232
• Publisher Policy: Reproduced in accordance with the publisher copyright policy