A convex parametrization of suboptimal hinfini controllers - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1992

A convex parametrization of suboptimal hinfini controllers

Abstract

A new parametrization is proposed for suboptimal H controllers of order no larger than the plant order. Here such controllers are generated from pairs of symmetric matrices (X,Y) constrained by two Riccati matrix inequalities and some positivy requirements. Interestingly, the Riccati expressions and the positivity conditions are exactly those arising in the usual state-space solution of suboptimal H problems. When working with the inverses R and S of X and Y, respectively, the constraints can be rewritten as linear matrix inequalities which define a convex parameter set. This sets up a convenient framework to handle design objectives which can be reflected in terms of (R,S). Examples of such objectives include reduced-order H design and the avoidance of pole/zero cancellation between the plant and the controller.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1712.pdf (951.52 Ko) Télécharger le fichier

Dates and versions

inria-00076950 , version 1 (29-05-2006)

Identifiers

  • HAL Id : inria-00076950 , version 1

Cite

Pascal Gahinet. A convex parametrization of suboptimal hinfini controllers. [Research Report] RR-1712, INRIA. 1992. ⟨inria-00076950⟩
87 View
64 Download

Share

Gmail Facebook X LinkedIn More