A new method for calculation of the generalized integral criterion \(\int_ 0^ \infty \varepsilon^{2k}(t) dt\), \(k=1,2,\dots\;\) (Q1898174)
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scientific article; zbMATH DE number 799655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new method for calculation of the generalized integral criterion \(\int_ 0^ \infty \varepsilon^{2k}(t) dt\), \(k=1,2,\dots\;\) |
scientific article; zbMATH DE number 799655 |
Statements
A new method for calculation of the generalized integral criterion \(\int_ 0^ \infty \varepsilon^{2k}(t) dt\), \(k=1,2,\dots\;\) (English)
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25 October 1995
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The paper considers differential equations describing stable linear systems and then a generalized criterion of optimization is proposed. The generalization takes into account even powers higher than 2 of the dynamic error under the integral. The proposed method gives analytical results for quite general equations. This leads to finding the optimal values of the parameter of the controllers by using necessary conditions for finding extrema.
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ISE criterion
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linear
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generalized criterion of optimization
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dynamic error
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