On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties (Q1805986)
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scientific article; zbMATH DE number 1356092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties |
scientific article; zbMATH DE number 1356092 |
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On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties (English)
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20 February 2000
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The problem of designing a variable structure control law for uncertain systems, where the uncertainty does not satisfy the matching conditions, is studied. A necessary and sufficient condition for the existence of a linear sliding surface in terms of linear matrix inequalities (LMI) is proved. Moreover, existence condition of a sliding surface, guaranteeing general LMI regional pole placement constraints for all admissible uncertainties, is obtained. Simulation results for controlling an inverted pendulum mounted on a cart are also presented.
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sliding mode control
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linear matrix inequality
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variable structure control
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matching conditions
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regional pole placement
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