Reliable computation of H infini central controllers near the optimum

Abstract : The state-space formulas for the usual H central controller become singular when approaching the optimum gopt. A new approach is taken to circumvent this difficulty. It consists of extending the notion of central controller to include proper controllers with a feedthrough term. While such controllers are still derived from the usual Riccati solutions X and Y, their feedthrough gain can be selected so as to neutralize the singularities near gopt. This provides numerically stable formulas for the controller parameters and eliminates the discontinuity between the realizations of nearly optimal and of reduced-order optimal central controllers. The advantages of this method are illustrated on a few examples.
Type de document :
[Research Report] RR-1642, INRIA. 1992
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Soumis le : mercredi 24 mai 2006 - 16:57:12
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
Document(s) archivé(s) le : mardi 12 avril 2011 - 20:06:39



  • HAL Id : inria-00074918, version 1



Pascal Gahinet. Reliable computation of H infini central controllers near the optimum. [Research Report] RR-1642, INRIA. 1992. 〈inria-00074918〉



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