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Hα-filtering and state feedback control for discrete-time switched descriptor systems

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2 Author(s)
Koenig, D. ; Gipsa-Lab. (UMR 5216, CNRS-INPG-UJF), Inst. Nat. Polytech. de Grenoble, Grenoble ; Marx, B.

The problem of Hinfin filtering for a class of discrete-time switched systems with unknown inputs is investigated. By using a switched Lyapunov function, sufficient conditions for the solution of this problem are obtained in terms of linear matrix inequalities. Filtering is envisaged both with proportional and proportional integral observers. In addition, the results obtained in observer design are transposed to the controller design for switched descriptor systems. The control of a switched uncertain descriptor system is also treated. A numerical example is given to illustrate the presented results.

Published in:

Control Theory & Applications, IET  (Volume:3 ,  Issue: 6 )

Date of Publication:

June 2009

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