6533b821fe1ef96bd127b05e

RESEARCH PRODUCT

Feasibility issues in static output-feedback controller design with application to structural vibration control

Josep Rubió-massegúHamid Reza KarimiFrancisco Palacios-quiñoneroJosep M. Rossell

subject

EngineeringOptimization problem:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]Computer Networks and CommunicationsComputationVibration controlDesign strategyFeedback control systemsMatrius (Matemàtica)Field (computer science)Control theorymatrix theoryMatrix inequalitiesbusiness.industryApplied Mathematics:15 Linear and multilinear algebra; matrix theory [Classificació AMS]:15 Linear and multilinear algebra [Classificació AMS]:Matemàtiques i estadística [Àrees temàtiques de la UPC]Control engineeringVariable (computer science)Transformation (function)Control and Systems EngineeringSistemes de control per retroaccióSignal ProcessingControl and Systems Engineering; Computer Networks and Communications; Applied Mathematics; Signal Processingbusiness

description

Recent results in output-feedback controller design make possible an efficient computation of static output-feedback controllers by solving a single-step LMI optimization problem. This new design strategy is based on a simple transformation of variables, and it has been applied in the field of vibration control of large structures with positive results. There are, however, some feasibility problems that can compromise the effectiveness and applicability of the new approach. In this paper, we present some relevant properties of the variable transformations that allow devising an effective procedure to deal with these feasibility issues. The proposed procedure is applied in designing a static velocity-feedback H¥ controller for the seismic protection of a five-story building with excellent results. Peer Reviewed

https://doi.org/10.1016/j.jfranklin.2013.08.011