Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach

© 2017 Technical Committee on Control Theory, CAA. The problem of disturbance attenuation and rejection for discrete systems with unknown nonlinear and missing measurement is studied in this paper. Here, two types of disturbance are considered. One of them is matched unknown disturbance generated by...

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Main Authors: Du, T., Guo, X., Liu, Wan-Quan
Format: Conference Paper
Published: 2017
Online Access:http://hdl.handle.net/20.500.11937/66510
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author Du, T.
Guo, X.
Liu, Wan-Quan
author_facet Du, T.
Guo, X.
Liu, Wan-Quan
author_sort Du, T.
building Curtin Institutional Repository
collection Online Access
description © 2017 Technical Committee on Control Theory, CAA. The problem of disturbance attenuation and rejection for discrete systems with unknown nonlinear and missing measurement is studied in this paper. Here, two types of disturbance are considered. One of them is matched unknown disturbance generated by an exogenous systems, the other belongs to norm-bounded disturbance. The matched unknown disturbance is estimated by disturbance observer (DOB), and it is compensated by the composited controller. The norm-bounded disturbance is attenuation under the condition of H 8 constraint. The matched unknown disturbance and state are estimated separately based on missing measurement which is described by a binary switching sequence. The augmented systems, which consist of result closed-loop systems and error dynamic of disturbance are exponentially mean-square stable for zeros additional disturbance, and the systems also satisfy prescribed H 8 performance requirement. A sufficient condition is derived to find DOB gain matrix, controller gain matrix in terms of Lyapunov approach. A numerical example is given to show the effectiveness of proposed method.
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institution Curtin University Malaysia
institution_category Local University
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spelling curtin-20.500.11937-665102018-04-30T02:48:46Z Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach Du, T. Guo, X. Liu, Wan-Quan © 2017 Technical Committee on Control Theory, CAA. The problem of disturbance attenuation and rejection for discrete systems with unknown nonlinear and missing measurement is studied in this paper. Here, two types of disturbance are considered. One of them is matched unknown disturbance generated by an exogenous systems, the other belongs to norm-bounded disturbance. The matched unknown disturbance is estimated by disturbance observer (DOB), and it is compensated by the composited controller. The norm-bounded disturbance is attenuation under the condition of H 8 constraint. The matched unknown disturbance and state are estimated separately based on missing measurement which is described by a binary switching sequence. The augmented systems, which consist of result closed-loop systems and error dynamic of disturbance are exponentially mean-square stable for zeros additional disturbance, and the systems also satisfy prescribed H 8 performance requirement. A sufficient condition is derived to find DOB gain matrix, controller gain matrix in terms of Lyapunov approach. A numerical example is given to show the effectiveness of proposed method. 2017 Conference Paper http://hdl.handle.net/20.500.11937/66510 10.23919/ChiCC.2017.8028627 restricted
spellingShingle Du, T.
Guo, X.
Liu, Wan-Quan
Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title_full Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title_fullStr Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title_full_unstemmed Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title_short Disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via DOBC approach
title_sort disturbance attenuation and rejection for systems with unknown nonlinearity and missing measurements via dobc approach
url http://hdl.handle.net/20.500.11937/66510