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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2012

Extended H2 Controller Synthesis for Continuous Descriptor Systems

Résumé

This paper presents a complete solution to the nonstandard H2 output feedback control problem for continuous descriptor systems where unstable and nonproper weighting functions are used. In such a problem, the desired controller has to satisfy two conditions simultaneously: (i) the closed-loop is admissible and has a minimum H2 norm, (ii) only the internal stability of a part of the closed-loop is sought. The condition of the existence of such a controller is deduced. An explicit characterization of the optimal solution is also formulated, based on two generalized algebraic Riccati equations (GAREs) and two generalized Sylvester equations. A numerical example is included to illustrate the validity of the proposed results.
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Dates et versions

hal-00638612 , version 1 (06-11-2011)

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  • HAL Id : hal-00638612 , version 1

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Yu Feng, Mohamed Yagoubi, Philippe Chevrel. Extended H2 Controller Synthesis for Continuous Descriptor Systems. IEEE Transactions on Automatic Control, 2012, 57 (6), pp.1559-1564. ⟨hal-00638612⟩
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