Direct predictive control of a first-order quasilinear hyperbolic PDE Article Swipe
We present a method for the boundary controlof a system governed by one hyperbolic PDE with a non-localcoupling term by state feedback. The method is an extensionof recently developed controllers for semilinear systems. Thedesign consists of three steps: predicting the states up to thetime when they are affected by the delayed input; virtuallymoving the input to the uncontrolled boundary (which makescharacterizing stability trivial); and constructing the inputs by,starting with the desired boundary values at the uncontrolledboundary, solving an ODE governing the dynamics on thesystem’s characteristic linesbackwardsin time. The controllersteers the system to the origin in finite time. A discussion ofpotential extensions of the presented method is given.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- http://hdl.handle.net/11250/2643512
- http://hdl.handle.net/11250/2643512
- OA Status
- gold
- Related Works
- 4
- OpenAlex ID
- https://openalex.org/W3033523927
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3033523927Canonical identifier for this work in OpenAlex
- Title
-
Direct predictive control of a first-order quasilinear hyperbolic PDEWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-01-01Full publication date if available
- Authors
-
Timm Strecker, Ole Morten Aamo, Michael CantoniList of authors in order
- Landing page
-
https://hdl.handle.net/11250/2643512Publisher landing page
- PDF URL
-
https://hdl.handle.net/11250/2643512Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://hdl.handle.net/11250/2643512Direct OA link when available
- Concepts
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Model predictive control, Control (management), Control theory (sociology), Order (exchange), Hyperbolic partial differential equation, Computer science, Applied mathematics, Mathematical optimization, Mathematics, Partial differential equation, Artificial intelligence, Mathematical analysis, Economics, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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4Other works algorithmically related by OpenAlex
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