Closed-form solutions for a class of optimal quadratic tracking problems (Q762023)
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scientific article; zbMATH DE number 3889374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed-form solutions for a class of optimal quadratic tracking problems |
scientific article; zbMATH DE number 3889374 |
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Closed-form solutions for a class of optimal quadratic tracking problems (English)
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1985
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Closed-form solutions are derived for a class of tracking problems including a linear optimal regulator and a prefilter for a time-invariant plant. The solutions for the prefilter equation and state trajectory, coupled by the Riccati equation, are exponentially related to the stability matrix of the plant. A computational procedure is presented in recursive form when the desired output state dynamics is assumed linear and time-invariant. Several examples are given for illustration.
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Closed-form solutions
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tracking
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linear optimal regulator
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prefilter
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Riccati equation
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computational procedure
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