Bezout Factors and $\Lu$-Optimal Controllers for Delay Systems using a two-parameter Compensator Scheme - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1996

Bezout Factors and $\Lu$-Optimal Controllers for Delay Systems using a two-parameter Compensator Scheme

Abstract

We consider in this paper the simultaneous problem of optimal robust stabilization and optimal tracking for SISO systems in an $L^\infty$-setting using a two-parameter compensator scheme. Optimal robustness is linked to the work done by Georgiou and Smith in the $L^2$-setting. Optimal tracking involves the resolution of $L^1$-optimization problems. We consider in particular the robust control of delay systems. We determine explicit expressions of the Bezout factors for general delay systems which are in the Callier-Desoer class $\hat{\cal B}(0)$. Finally, we solve several general $L^1$-optimization problems and give an algorithm to solve the optimal robust control problem for a large class of delay systems.
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Dates and versions

inria-00073670 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073670 , version 1

Cite

Catherine Bonnet, Jonathan R. Partington. Bezout Factors and $\Lu$-Optimal Controllers for Delay Systems using a two-parameter Compensator Scheme. [Research Report] RR-3023, INRIA. 1996. ⟨inria-00073670⟩
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