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Reports (Research Report) Year : 1992

State-space H infini control : a complete solution via convex Riccati inequalities

Abstract

The most general H control problem is solved by elementary state-space manipulations. Here the characterization of feasible closed-loop gains g is in terms of Riccati inequalities rather than equations. This allows treatment within a single framework of both regular and singular continuous - or discrete - time H problems. An interesting by-product of this approach is a convex state-space parametrization of all H suboptimal controllers, including reduced-order ones. Here the free parameters are pairs of positive definite matrices solving the Riccati inequalities and satisfying some coupling constraint. Such pairs form a convex set and given any of them, the controller reconstruction amounts to solving a linear matrix inequality (LMI). Applications of these results to the improvement of classical H design techniques are discussed.

Domains

Other [cs.OH]
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Dates and versions

inria-00077034 , version 1 (29-05-2006)

Identifiers

  • HAL Id : inria-00077034 , version 1

Cite

Pascal Gahinet, Pierre Apkarian. State-space H infini control : a complete solution via convex Riccati inequalities. [Research Report] RR-1794, INRIA. 1992. ⟨inria-00077034⟩
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