On the uncertain variable structure systems with bounded controllers (Q1398319)
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scientific article; zbMATH DE number 1956081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uncertain variable structure systems with bounded controllers |
scientific article; zbMATH DE number 1956081 |
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On the uncertain variable structure systems with bounded controllers (English)
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29 July 2003
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Under suitable assumptions, the problem of estimating the asymptotic stability region (ASR) of uncertain variable structure systems with bounded controllers is studied. It is proved that there exists a sliding surface parameter matrix iff some linear matrix inequalities (LMI) hold true. Using these existence conditions, the problem of estimating the ASR is reduced to LMI optimization problems, and a LMI-based algorithm is proposed. These LMI optimization problems can be solved very efficiently. Thus one can easily design a switching surface which will make the estimated ASR big while guaranteeing the regional pole constraints of the sliding mode dynamics. Some numerical examples are also presented.
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variable structure systems
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asymptotic stability region
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linear matrix inequalities
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pole constraints
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