Feedback control unit with an inerter proof-mass electrodynamic actuator

In this study the use of an inerter is considered for active vibration control of a structure excited by white noise. The structure is modelled as a single degree of freedom system and the control system consists of a vibration absorber with a mass suspended on a spring, a damper and an inerter. The absorber is equipped with a reactive force transducer in parallel with the passive suspension which is driven with a signal proportional to the velocity of the structure under control measured by an ideal collocated sensor. The effect of the inerter on the control stability and performance of the control system is investigated. It is shown that the effect of the inerter is to reduce the natural frequency of the inertial actuator, improving the stability of the feedback loop and thus its performance. The optimisation of the physical and control parameters of the control system such as the internal damping of the actuator, its natural frequency, its inertance and the feedback gain are considered such that either the kinetic energy of the host structure is minimised or the power dissipated by the control system is maximised

Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation

The tuning of a dynamic vibration absorber is considered such that either the kinetic energy of the host structure is minimised or the power dissipation within the absorber is maximised. If the host structure is approximated as a lightly damped, single degree of freedom, system, simple expressions are obtained for the optimal ratio of the absorber natural frequency to the host natural frequency and optimal damping ratio of the absorber. These optimal values are shown to be the same whether the kinetic energy of the host structure is minimised or if the power dissipation of the absorber is maximise

Self-tuning vibration absorbers

This thesis presents a theoretical and experimental study of self-tuning vibration control. Feedback design is often based on the assumption of time-invariance, which means that the controller has constant coefficients. Self-tuning control takes into account process changes in the response of the system under control by incorporating an adjusting mechanism which monitors the system, compares its status with the required one and adjusts the coefficients of the controller. In this thesis a self-tuning process is analysed for active and semi-active control of broadband vibration based on the maximisation of the power absorbed by the controller. The absorbed power can be locally estimated without using extra sensors to monitor the global response of the system under control. This is particularly advantageous in applications where many actuators are required, in which case each actuator and the collocated sensor can be treated as an independent self-tuneable unit. A theoretical analysis of vibration control using this approach is presented for lumped parameter systems and also for distributed systems, such as beam and panels. Different tuning strategies are compared in terms of the reduction of the global response of the system under control. An algorithm is then discussed that tunes the feedback gains of independent control units to maximise their individual absorbed powers. Experimental studies are then presented of a selftuning control system with two decentralised control units using velocity error signals and electromagnetic reactive actuators installed on an aluminium panel. In the second part of the thesis the analysis is extended to the use of inertial actuators. In this case the implementation of the self-tuning control based on the maximisation of the power absorbed is investigated using simulations of velocity feedback control and shunted inertial actuators

Multiple Sweeping Tuneable Vibration Absorbers for broad band vibration control

This paper presents a simulation study concerning the control of flexural vibration in a lightly damped thin plate, which is equipped with three sweeping TuneableVibration Absorbers and is excited by a rain on the roof broad frequency band stationary disturbance. The sweeping Tuneable Vibration Absorbers are semi-active mass-spring-dashpot systems whose stiffness and damping properties can be varied uniformly within given ranges. They are operated in such a way as their characteristic natural frequencies are continuously varied to control the observed flexural modes that resonate within given frequency bands. More specifically, in this study the three sweeping Tuneable Vibration Absorbers are operated asynchronously, each within one of three sequential frequency bands comprised between 20-120, 120-220, 220-320 Hz. The flexural vibration control effects produced by the three sweeping Tuneable Vibration Absorbers are compared to those produced by three classical Tuneable Vibration Absorbers, each set to control a flexural mode of the plate resonating in one of these three frequency bands. The study shows that the proposed sweeping Tuneable Vibration Absorbers outperform the classical Tuneable Vibration Absorbers and produce about 6, 5, 4 dB reduction of the panel flexural response in the three frequency bands of operation. Also, the study indicates that the sweeping Tuneable VibrationAbsorbers are robust to variations in the plate flexural response. For instance they still produce about 5.1, 5.3, 4.6 dB reductions of the panel flexural response in the three frequency bands of operation when the panel is tensioned such that the flexural natural frequencies are shifted up from about 40%, for the first resonance, to 7%, for the tenth resonanc