ℋ∞ strongly stabilizing bandpass controllers for selective natural modes damping in flexible structures

Author

Canciello, Giacomo ; Cavallo, Alberto

Author_Institution

Dipt. di Ing. Ind. e dell´Inf., Seconda Univ. degli Studi di Napoli, Aversa, Italy

fYear

2015

fDate

1-3 July 2015

Firstpage

5936

Lastpage

5941

Abstract

In this paper by extending previous work of one of the authors the design of a MIMO ℋ_∞ feedback controller for flexible systems is proposed. The controller has some very desirable properties for applications related to noise and vibration reduction, since it has limited bandwidth, zero dc-gain and can selectively increase the damping of only some selected natural modes of the flexible structure. This characteristic turns out to be very useful when dealing with lightly damped structures forced by broadband disturbances. Since however the controller is not necessarily stable, by solving an LMI problem, a stable version of the controller is also obtained. The effectiveness of the proposed control strategies is shown on a detailed COMSOL FEM model.

Keywords

H^∞ control; MIMO systems; control system synthesis; damping; feedback; flexible structures; linear matrix inequalities; stability; vibrations; COMSOL FEM model; H∞ strongly stabilizing bandpass controllers; LMI problem; MIMO H∞ feedback controller design; broadband disturbances; flexible structures; lightly damped structures; noise reduction; selective natural mode damping; vibration reduction; Band-pass filters; Bandwidth; Broadband communication; Damping; Frequency control; Stability analysis; Vibrations; Flexible structures; Mechatronics; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2015

Conference_Location

Chicago, IL

Print_ISBN

978-1-4799-8685-9

Type

conf

DOI

10.1109/ACC.2015.7172271

Filename

7172271