Robust control analysis of 1D burgers equation

Guo Song, Lu Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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Robust control analysis of 1D Burgers Equation .5573640 searchabstract .Guo Song ; Zhang Lu ;
Eng. & Comput. Sci. Dept., Durham Univ., Durham, UK


This paper appears in: Control Conference (CCC), 2010 29th Chinese
Issue Date : 29-31 July 2010
On page(s): 1943 - 1948
Print ISBN: 978-1-4244-6263-6
References Cited: 18
INSPEC Accession Number: 11612034
Date of Current Version : 20 September 2010

Abstract
In this paper, a novel H8 Loop shaping Controller will be used to design in Robust Control for Burgers Equation. For a simplest normal PDEs model, Burgers Equation which is simplified Navier Stokes equations is always a first step to obtain further result in more complex PDEs. Nowadays, people propose different control algorithms on the Burgers Equation problems, but most of them studies in time domain and not consider the frequency. And we present a new robust controller for linearized Burgers Equation. And the Burgers Equation model can be identified from finite element approximation for the PDEs. The proposed method can achieve a better robustness and frequency performance even the strong nonlinear and uncertainty exist in the systems. The simulation results are shown to validate the method is more effective and advanced.
Original languageEnglish
Title of host publicationControl Conference (CCC), 2010 29th Chinese
PublisherIEEE Press
Pages1943-1948
Number of pages6
ISBN (Print)978-1-4244-6263-6
Publication statusPublished - 2010
EventControl Conference (CCC), 2010 29th Chinese - , United Kingdom
Duration: 29 Jul 201031 Jul 2010

Conference

ConferenceControl Conference (CCC), 2010 29th Chinese
CountryUnited Kingdom
Period29/07/1031/07/10

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Robust control
Controllers
Navier Stokes equations
Uncertainty

Cite this

Song, G., & Zhang, L. (2010). Robust control analysis of 1D burgers equation. In Control Conference (CCC), 2010 29th Chinese (pp. 1943-1948). IEEE Press.

Robust control analysis of 1D burgers equation. / Song, Guo; Zhang, Lu.

Control Conference (CCC), 2010 29th Chinese. IEEE Press, 2010. p. 1943-1948.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Song, G & Zhang, L 2010, Robust control analysis of 1D burgers equation. in Control Conference (CCC), 2010 29th Chinese. IEEE Press, pp. 1943-1948, Control Conference (CCC), 2010 29th Chinese , United Kingdom, 29/07/10.
Song G, Zhang L. Robust control analysis of 1D burgers equation. In Control Conference (CCC), 2010 29th Chinese. IEEE Press. 2010. p. 1943-1948
Song, Guo ; Zhang, Lu. / Robust control analysis of 1D burgers equation. Control Conference (CCC), 2010 29th Chinese. IEEE Press, 2010. pp. 1943-1948
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abstract = "Browse > Conferences> Control Conference (CCC), 201 Prev | Back to Results | Next » Robust control analysis of 1D Burgers Equation .5573640 searchabstract .Guo Song ; Zhang Lu ; Eng. & Comput. Sci. Dept., Durham Univ., Durham, UK This paper appears in: Control Conference (CCC), 2010 29th Chinese Issue Date : 29-31 July 2010 On page(s): 1943 - 1948 Print ISBN: 978-1-4244-6263-6 References Cited: 18 INSPEC Accession Number: 11612034 Date of Current Version : 20 September 2010 AbstractIn this paper, a novel H8 Loop shaping Controller will be used to design in Robust Control for Burgers Equation. For a simplest normal PDEs model, Burgers Equation which is simplified Navier Stokes equations is always a first step to obtain further result in more complex PDEs. Nowadays, people propose different control algorithms on the Burgers Equation problems, but most of them studies in time domain and not consider the frequency. And we present a new robust controller for linearized Burgers Equation. And the Burgers Equation model can be identified from finite element approximation for the PDEs. The proposed method can achieve a better robustness and frequency performance even the strong nonlinear and uncertainty exist in the systems. The simulation results are shown to validate the method is more effective and advanced.",
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