Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference 2009
DOI: 10.1109/cdc.2009.5400245
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H<inf>&#x221E;</inf>-control for descriptor systems - A structured matrix pencils approach

Abstract: The H∞ control problem is studied for linear constant coefficient descriptor systems. Necessary and sufficient optimality conditions are derived in terms of deflating subspaces of even matrix pencils for problems of arbitrary index. It is shown that this approach leads to a more robust method in computing the optimal value γ in contrast to other methods such as the widely used Riccati or LMI based approaches. The results are illustrated by a numerical example.

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Cited by 2 publications
(1 citation statement)
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“…Among them, [9] proposed a linear matrix inequality based approach for H ∞ control design, leading to a solution for the case where K is of full order. One may also mention [10] which involves the Riccati equations and conditions on the observability and detectability to address a larger DAE class. Similarly, one limitation is related to the structure of the controller, which may increase with the model complexity.…”
Section: B Contributions and Outlinesmentioning
confidence: 99%
“…Among them, [9] proposed a linear matrix inequality based approach for H ∞ control design, leading to a solution for the case where K is of full order. One may also mention [10] which involves the Riccati equations and conditions on the observability and detectability to address a larger DAE class. Similarly, one limitation is related to the structure of the controller, which may increase with the model complexity.…”
Section: B Contributions and Outlinesmentioning
confidence: 99%