Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Reduced order controllers for Burgers' equation with a nonlinear observer
Contributor:
Curtain, Ruth - ed. ; Kaashoek, Rien - ed.
Subtitle:
Infinite-Dimensional Systems Theory and Operator Theory
Group publication title:
Abstract:
A method for reducing controllers for systems described by partial differential equations (PDEs) is applied to Burgers' equation with periodic boundary conditions. This approach differs from the typical approach of reducing the model and then designing the controller, and has developed over the past several years into its current form. In earlier work it was shown that functional gains for the feedback control law served well as a dataset for reduced order basis generation via the proper orthogonal decomposition (POD). ; However, the test problem was the two-dimensional heat equation, a problem in which the physics dominates the system in such a way that controller efficacy is difficult to generalize. Here, we additionally incorporate a nonlinear observer by including the nonlinear terms of the state equation in the differential equation for the compensator.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 11, number 6 (2001) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2001)
Last modified:
Jul 14, 2025
In our library since:
Jul 22, 2021
Number of object content hits:
279
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65601
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 1 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 2 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 3 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 4 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 5 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 6 (2001)
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| Edition name | Date |
|---|---|
| Reduced order controllers for Burgers' equation with a nonlinear observer | Jul 14, 2025 |
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