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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A periodic linear-quadratic controller for suppressing rotor-blade vibration

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Author(s):
Camino, J. F. [1] ; Santos, I. F. [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil
[2] Tech Univ Denmark, Dept Mech Engn, Lyngby - Denmark
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF VIBRATION AND CONTROL; v. 25, n. 17, p. 2351-2364, SEP 2019.
Web of Science Citations: 0
Abstract

This paper presents an active control strategy, based on a time-varying linear-quadratic optimal control problem, to attenuate the tip vibration of a two-dimensional coupled rotor-blade system whose dynamics is periodic. First, a periodic full-state feedback controller based on the linear-quadratic regulator (LQR) problem is designed. If all the states are not available for feedback, then an optimal periodic time-varying estimator, using the Kalman-Bucy filter, is computed. Both the Kalman filter gain and the LQR gain are obtained as the solution of a periodic Riccati differential equation (PRDE). Together, these gains provide the observer-based linear-quadratic-Gaussian (LQG) controller. An algorithm to solve the PRDE is also presented. Both controller designs ensure closed-loop stability and performance for the linear time-varying rotor-blade equation of motion. Numerical simulations show that the LQR and the LQG controllers are able to significantly attenuate the rotor-blade tip vibration. (AU)

FAPESP's process: 18/24867-7 - Experimental Implementation of Time-Varying Control Techniques in a Rotor-Blade system
Grantee:Juan Francisco Camino
Support Opportunities: Scholarships abroad - Research