Solving the linear quadratic optimal control problem for infinite-dimensional systems (Q1352407)
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scientific article; zbMATH DE number 978121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving the linear quadratic optimal control problem for infinite-dimensional systems |
scientific article; zbMATH DE number 978121 |
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Solving the linear quadratic optimal control problem for infinite-dimensional systems (English)
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13 July 1997
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Calculation of the solution to linear quadratic optimal control problems for infinite-dimensional systems is considered. The sequence of solutions to a sequence of approximating finite-dimensional problems converges to the optimal control for the infinite-dimensional system if certain assumptions such as uniform stabilizability are satisfied. We use this result to calculate controllers for the infinite-dimensional system that are arbitrarily close to optimal. A one-dimensional heat equation and a problem of acoustic noise control are used to illustrate the algorithm. The numerical results are discussed.
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Riccati
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finite-dimensional approximations
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linear quadratic optimal control
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infinite-dimensional systems
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one-dimensional heat equation
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acoustic noise control
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