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Simultaneous stabilization of single-input single-output discrete time systems

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1 Author(s)
Wei, K. ; German Aerosp. Res. Establ., Oberpfaffenhofen

The problem of finding one compensator which simultaneously stabilizes a family of single-input-single-output (SISO) discrete-time plants is considered. The family of plants is described by the transfer functions {Pz, q): qQ}, which are generated via a z-transformation. A number of assumptions describing the set of allowable plants are then given. These assumptions include some regularity conditions on the plants and a minimum-phase requirement. The satisfaction of these assumptions guarantees the existence of a strictly proper stable compensator C(z) for simultaneous stabilization. An iterative computation method is provided for control design

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 3 )