\(\mathcal L_2\) gain performance for a class of Lipschitz uncertain nonlinear systems via variable gain robust output feedback controllers (Q1953725)
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scientific article; zbMATH DE number 6172155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathcal L_2\) gain performance for a class of Lipschitz uncertain nonlinear systems via variable gain robust output feedback controllers |
scientific article; zbMATH DE number 6172155 |
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\(\mathcal L_2\) gain performance for a class of Lipschitz uncertain nonlinear systems via variable gain robust output feedback controllers (English)
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10 June 2013
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Summary: We consider a design problem of a variable gain robust output feedback controller with guaranteed \(\mathcal L_2\) gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified \(\mathcal L_2\) gain performance. In this paper, we show that sufficient conditions for the existence of the proposed variable gain robust output feedback controller with guaranteed \(\mathcal L_2\) gain performance are given in terms of Linear Matrix Inequalities (LMIs). Finally, a simple numerical example is included.
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robust output feedback controller
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Lipschitz uncertain nonlinear systems
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robust stability
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