Maximizing the Closed Loop Asymptotic Decay Rate for the Two-Mass-Spring Control Problem

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dc.creatorHenrion, Didier
dc.creatorOverton, Michael L.
dc.date2006-03-29
dc.date.accessioned2026-07-07T07:39:40Z
dc.date.available2026-07-07T07:39:40Z
dc.descriptionWe consider the following problem: find a fixed-order linear controller that maximizes the closed-loop asymptotic decay rate for the classical two-mass-spring system. This can be formulated as the problem of minimizing the abscissa (maximum of the real parts of the roots) of a polynomial whose coefficients depend linearly on the controller parameters. We show that the only order for which there is a non-trivial solution is 2. In this case, we derive a controller that we prove locally maximizes the asymptotic decay rate, using recently developed techniques from nonsmooth analysis.
dc.identifierhttps://arxiv.org/abs/math/0603681
dc.identifierhttp://arxiv.org/abs/math/0603681
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121536
dc.subjectOptimization and Control
dc.subject93D15 93C05 49J52
dc.titleMaximizing the Closed Loop Asymptotic Decay Rate for the Two-Mass-Spring Control Problem
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