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Reduced-order disturbance observer design for discrete-time linear stochastic systems

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journal contribution
posted on 12.05.2016 by Jinya Su, Baibing Li, Wen-Hua Chen, Jun Yang
The conventional disturbance observers for discrete-time linear stochastic systems assume that the system states are fully estimable and the disturbance estimate is dependent on the estimated system states, hereafter termed Full-Order Disturbance Observers (FODOs). This paper investigates the design of Reduced-Order Disturbance Observers (RODOs) when the system state variables are not fully estimable. An existence condition of RODO is established, which is shown to be more easily satisfied than that of the conventional FODOs and consequently it has substantially extended the scope of applications of disturbance observer theory. Then a set of recursive formulae for the RODO is developed for on-line applications. Finally, it is furth er shown that the conventional FODOs are a special case of the proposed RODO in the sense that the former reduces to the RODO when the states become fully estimable in the presence of disturbances. Examples are given to demonstrate the effectiveness and advantages of the proposed approach.

Funding

This work was partly supported by the UK Engineering and Physical Sciences Research Council (EPSRC) Autonomous and Intelligent Systems programme under the grant number EP/J011525/1 with BAE Systems as the leading industrial partner.

History

School

  • Business and Economics

Department

  • Business

Published in

Transactions of the Institute of Measurement and Control

Volume

38

Issue

6

Pages

657-664

Citation

SU, J. ...et al., 2016. Reduced-order disturbance observer design for discrete-time linear stochastic systems. Transactions of the Institute of Measurement and Control, 38(6), pp. 657-664.

Publisher

© The Authors. Published by Sage.

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016-03-15

Notes

This paper was accepted for publication in the journal Transactions of the Institute of Measurement and Control and the definitive published version is available at http://dx.doi.org/10.1177/0142331216634425

ISSN

0142-3312

eISSN

1477-0369

Language

en

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