Smart panel with active damping units. Implementation of decentralized control

Abstract

This paper contains the second part of a study on a smart panel with five decentralized velocity feedback control units using proof mass electrodynamic actuators [Gonzalez Diaz et al., J. Acoust. Soc. Am. 124, 886 (2008)]. The implementation of five decentralized control loops is analyzed, both theoretically and experimentally. The stability properties of the five decentralized control units have been assessed with the generalized Nyquist criterion by plotting the loci of the eigenvalues of the fully populated matrix of frequency response functions between the five error signals and five input signals to the amplifiers driving the actuators. The control performance properties have been assessed in terms of the spatially averaged response of the panel measured with a scanning laser vibrometer and the total sound power radiated measured in an anechoic room. The two analyses have shown that reductions of up to 10 dB in both vibration response and sound radiation are measured at low audio frequencies, below about 250 Hz.

Comparison of smart panels for tonal and broadband vibration and sound transmission active control

“…Moreover, section 6 shows experimental results obtained with three demonstrators, which were studied in Refs. [33][34][35]. Finally Section 7 presents a summary of the comparative analysis presented in this paper.…”

Identification and analysis of nonlinear dynamics of inertial actuators

“…A velocity feedback controller consists of an actuator attached to a structure with a collocated sensor of vibration (usually an accelerometer) and a controller, which feeds back the velocity of the structure to the actuator [5]. The use of an electromagnetic inertial, or proof mass, actuator as the active forcing device in velocity feedback controllers has also been well documented [2,5,[7][8][9][10][11][12][13][14]. An inertial actuator consists of a magnetic proof mass, an electrical winding and a suspension, which connects the proof mass to a casing or base mass [7].…”

Active Vibration Control of Rib Stiffened Plate by Using Decentralized Velocity Feedback Controllers with Inertial Actuators

“…Since the sensors and actuators are collocated and dual, then stability is guaranteed [20]. The performance of the decentralized feedback control system has been extensively investigated [21][22][23][24][25][26]. Elliott et al [20] compared the performance of the velocity feedback loop of collocated and dual force actuators and velocity sensors, as well as piezoelectric actuators and velocity sensors.…”

“…In order to further set up relevance between the research work and the practical application, Aoki et al [24] designed the decentralized velocity feedback loop with triangularly shaped piezoceramic patch actuators and accelerometer sensors. Díaz et al [25,26] and Baumann et al [27] used the small-scale proof mass electrodynamic actuator and electrodynamic inertial actuator to construct the feedback loop. The control performance and stability of the system were analyzed.…”

“…Hence, in order to further improve the relevance of the research work with the practical engineering applications, this research uses the rib stiffened plate as the control object, and particularly investigates the control performance of the decentralized velocity feedback controllers with inertial actuators. The mathematical model for predicting the response of the control system with inertial actuators in [25,26], was a mobility/impedance formulation. A time domain state variable method was derived in [27] to calculate the control results.…”