On the robustness of quadratic guaranteed cost control for parameter uncertain systems (Q2725166)

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scientific article; zbMATH DE number 1618820
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English
On the robustness of quadratic guaranteed cost control for parameter uncertain systems
scientific article; zbMATH DE number 1618820

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    16 January 2002
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    weight optimization
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    robust controller
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    design
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    structured uncertainties
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    quadratic stability
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    guaranteed quadratic cost
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    On the robustness of quadratic guaranteed cost control for parameter uncertain systems (English)
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    The authors propose a robust controller design procedure for time-invariant linear systems with structured uncertainties in the state and input matrices. The controller in the form of a linear time-invariant state feedback law ensures quadratic stability of the resulting closed-loop system and guaranteed quadratic cost. To decrease conservatism of the bounds imposed upon system uncertainties, the authors formulate an optimization problem with respect to the weighting cost matrices. The feedback gain matrix is designed in such a way as to minimize the obtained cost bound and to satisfy the quadratic stability conditions.
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