Attraction domain estimate for single-input affine systems with constrained control

被引:0
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作者
A. V. Pesterev
机构
[1] Russian Academy of Sciences,Institute of Control Sciences
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关键词
nonlinear affine systems; constrained control; attraction domain; absolute stability theory; linear matrix inequalities (LMIs);
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摘要
Nonlinear single-input affine systems represented in a canonical (normal) form are considered. The control resource is assumed to be constrained. For a closed-loop system obtained by applying a linearizing feedback, the problem of finding an estimate of the attraction domain is set. A method for constructing an ellipsoidal estimate that is based on results of absolute stability theory is suggested. Construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.
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页码:581 / 594
页数:13
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