An LMI-based algorithm for designing suboptimal static \(\mathcal H_2/\mathcal H_\infty\) output feedback controllers (Q2706172)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An LMI-based algorithm for designing suboptimal static \(\mathcal H_2/\mathcal H_\infty\) output feedback controllers |
scientific article |
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19 March 2001
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sequential linear programming
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suboptimal \(H_2/H_\infty\) feedback control
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linear matrix inequalities
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nonconvex programming
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An LMI-based algorithm for designing suboptimal static \(\mathcal H_2/\mathcal H_\infty\) output feedback controllers (English)
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The problem of designing a suboptimal \(H_2/H_\infty\) feedback control law for a linear time invariant control system when not all the state variables are available is considered. This problem is restated as a nonconvex optimization problem with a bilinear, multiobjective functional under suitably chosen linear matrix inequality (LMI) constraints. A LMI procedure is proposed using a sequential linearization programming approach. The properties and the convergence of the algorithm are discussed in detail. Several numerical examples of static \(H_2/H_\infty\) output feedback problems are described which verify the theoretical results numerically.
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