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A new representation of Hinfini suboptimal controllers

Abstract : Elementary state-space concepts are used to derive a transparent solution to the stationary H control problem. The main contribution of this solution is a novel representation of suboptimal controllers in terms of a pair of parametric Riccati equations with a coupling constraint. Unlike the classical parametrization in terms of linear fractional transformation, this state-space representation has a homogeneous Riccati formulation which should help to make the most out of the suboptimal controller diversity. Potential applications include the design of reduced-order controllers and more generally the selection of suboptimal controllers to meet or optimize additional constraints.
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Submitted on : Wednesday, May 24, 2006 - 4:57:38 PM
Last modification on : Thursday, February 3, 2022 - 11:16:45 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 5:49:50 PM


  • HAL Id : inria-00074919, version 1



Pascal Gahinet. A new representation of Hinfini suboptimal controllers. [Research Report] RR-1641, INRIA. 1992. ⟨inria-00074919⟩



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