Mixed H2/H∞ control for infinite dimensional systems

dc.contributor.advisorMorán Cárdenas, Antonio Manuel
dc.contributor.advisorReger, Johann
dc.contributor.authorNoack, Matties_ES
dc.date.accessioned2017-08-28T23:02:47Zes_ES
dc.date.available2017-08-28T23:02:47Zes_ES
dc.date.created2017es_ES
dc.date.issued2017-08-28es_ES
dc.description.abstractThe class of infinite dimensional systems often occurs when dealing with distributed parameter models consisting of partial differential equations. Although forming a comprehensive description, they mainly become manageable by finite dimensional approximations which likely neglect important effects, but underlies a certain structure. In contrast to common techniques for controlling infinite dimensional systems, this work focuses on using robust control methods. Thus, the uncertainty structure that occurs due to the discretization shall be taken into account particularly. Additionally, optimal performance measures can be included into the design process. The mixed H2/H∞ control approach handles the inclusion of disturbances and inaccuracies while guaranteeing specified energy or magnitude bounds. In order to include various of these system requirements, multi-objective robust control techniques based on the linear matrix inequality framework are utilized. This offers great flexibility concerning the formulation of the control task and results in convex optimization problems which can be solved numerically efficient by semi-definite programming. A flexible robot arm structure serves as the major application example during this work. The model discretization leads to an LTI system of specified order with an uncertainty model which is obtained by considering the concrete approximation impact and frequency domain tests. A structural analysis of the system model relates the neglected dynamics to a robust characterization. For the objective selection, stability shall be ensured under all expected circumstances while the aspects of optimal H2 performance, passive behavior and optimal measurement output selection are included. The undesirable spillover effect is thoroughly investigated and thus avoided.es_ES
dc.description.uriTesises_ES
dc.identifier.urihttp://hdl.handle.net/20.500.12404/9251
dc.language.isoenges_ES
dc.publisherPontificia Universidad Católica del Perúes_ES
dc.publisher.countryPEes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/pe/*
dc.subjectSistemas dinámicoses_ES
dc.subjectEspacios dimensionales infinitoses_ES
dc.subjectControl robustoes_ES
dc.subject.ocdehttps://purl.org/pe-repo/ocde/ford#2.02.03es_ES
dc.titleMixed H2/H∞ control for infinite dimensional systemses_ES
dc.typeinfo:eu-repo/semantics/masterThesises_ES
renati.advisor.dni10573987
renati.discipline712037es_ES
renati.levelhttps://purl.org/pe-repo/renati/level#maestroes_ES
renati.typehttp://purl.org/pe-repo/renati/type#tesises_ES
thesis.degree.disciplineIngeniería de Control y Automatizaciónes_ES
thesis.degree.grantorPontificia Universidad Católica del Perú. Escuela de Posgradoes_ES
thesis.degree.levelMaestríaes_ES
thesis.degree.nameMaestro en Ingeniería de Control y Automatizaciónes_ES

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