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

Autor(es)

Camino, J. F. ^[1] ; Santos, I. F. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil

^[2] Tech Univ Denmark, Dept Mech Engn, Lyngby - Denmark

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF VIBRATION AND CONTROL; v. 25, n. 17, p. 2351-2364, SEP 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/24867-7 - Implementação Experimental de Técnicas de Controle Variantes no Tempo em Um Sistema Rotor-Palheta
• Beneficiário: Juan Francisco Camino
• Modalidade de apoio: Bolsas no Exterior - Pesquisa