Synthesis of robust strictly positive real controllers (Q2725437)
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scientific article; zbMATH DE number 1619222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Synthesis of robust strictly positive real controllers |
scientific article; zbMATH DE number 1619222 |
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2 January 2002
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linear matrix inequality
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synthesis
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robust strictly positive real controllers
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strongly strictly positive real lemma
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quadratic strictly positive realness
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state feedback
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Synthesis of robust strictly positive real controllers (English)
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This paper discusses the synthesis problem of robust strictly positive real controllers for a class of linear systems with norm-bounded parameter uncertainties. Based on the strongly strictly positive real lemma, the authors present a new notion of quadratic strictly positive realness and prove the existence of a static state-feedback solution. An existence condition and a synthesis method for quadratic strictly positive real controllers via state feedback is given. Finally, a simple example is included.
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